List of Publications

Before 1991

1991-1995

1996-2000

2001-2005

2006-2010

2011-2015

2016-2020

2021-present

Before 1991:

  1. W. X. Ma, On the two sorts of Hamiltonian operators, Journal of Graduate School of University of Science and Technology of China and Academia Sinica, Vol.3(1986), No.3, 37--48(in Chinese) (pdf file)
  2. W. X. Ma, The equivalent conditions of several u-nonlinear Hamiltonian operators, Journal of Shanghai Jiaotong University, Vol.21, No.5(1987), 99--108(in Chinese) (MR 88m:58082) (pdf file)
  3. W. X. Ma, The generalized Hamiltonian structure of a hierarchy of nonlinear evolution equations, Kexue Tongbao, Vol.32, No.14(1987), 1003--1004
  4. W. X. Ma, On the periodic functions without the least positive period, Mathematics in Practice and Theory, 1988:3, 45--51(in Chinese) (MR 90c:26001)
  5. W. X. Ma, A hierarchy of evolution equations with three Hamiltonian structures and its symmetries, Journal of Shanghai Jiaotong University, Vol.23, No.1(1989), 9--18(in Chinese) (MR 90i:58076) (pdf file)
  6. W. X. Ma, A new involutive system of polynomials and its classical Integrable Systems, Chinese Science Bulletin, Vol.35, No.22(1990), 1853--1858 (MR 94i:58087)
  7. W. X. Ma, K-symmetries and τ-symmetries of evolution equations and their Lie algebras, Journal of Physics A: Mathematical and General, Vol.23, No.13(1990), 2707--2716 (MR 91d:58220)
  8. W. X. Ma, Poisson manifolds and classical Hamiltonian operators, Northeastern Mathematical Journal, Vol.6, No.3(1990), 346--356 (MR 92e:58071)
  9. W. X. Ma, Some Hamiltonian operators in the infinite-dimensional Hamiltonian systems, Acta Mathematicae Applicatae Sinica, Vol.13, No.4,(1990), 484--496 (in Chinese) (MR 92f:58061) (pdf file)
  10. W. X. Ma, A new method of generating classical integrable systems, The Chinese Youth Society of Mechanics Symposium of the Fourth Annual Conference, Science Press, Beijing, 1990, 516--520(in Chinese)
  11. W. X. Ma, Some finite-dimensional involutive systems with polynomial forms, Journal of Mathematical Research and Exposition, Vol.10. No.4(1990), 509--515(in Chinese) (MR 91j:58079)
  12. W. X. Ma, The confocal involutive systems and the integrability of the nonlinearized Lax systems of AKNS hierarchy, Nonlinear Physics, Research Reports in Physics, Springer-Verlag, Berlin, 1990, 79--84 (MR 93a:58084)

1991-1995:

  1. W. X. Ma, Generators of vector fields and time dependent symmetries of evolution equations, Science in China A, Vol.34, No.7(1991), 769--782 (MR 92i:58077) (pdf file)
  2. W. X. Ma, Commutational representations of Yang hierarchy of integrable evolution equations, Chinese Science Bulletin, Vol.36, No.16(1991), 1325--1330 (MR 93e:58088)
  3. W. X. Ma, A new approach for finding Lax representations of evolution equation hierarchies, Journal of Fudan University (Natural Science), Vol.30, No.3(1991), 304--311 (in Chinese) (MR 93h:58072)
  4. W. X. Ma, Isospectral Lax operators and related algebraic structures, Selected Papers of Chinese Postdoctors, Vol.4, Beijing University Press, 1991, 1--13(in Chinese)
  1. W. X. Ma, A hierarchy of Liouville integrable finite-dimensional Hamiltonian systems, Applied Mathematics and Mechanics, Vol.13, No.4(1992), 369--377 (MR 93i:58075)
  2. W. X. Ma, A new hierarchy of Liouville integrable generalized Hamiltonian equations and its reduction, Chinese Annals of Mathematics, Series A, Vol.13, No.1(1992), 115--123; Chinese Journal of Contemporary Mathematics, Vol.13, No.1(1992), 79--89 (MR 94g:58100) (pdf file)
  3. G. Z. Tu and W. X. Ma, An algebraic approach for extending Hamiltonian operators, Journal of Partial Differential Equations, Vol.3, No.1(1992), 53--56 (MR 93a:58094)
  4. W. X. Ma, The algebraic structure related to L-A-B triad representations of integrable systems, Chinese Science Bulletin, Vol.37, No.15(1992), 1249--1253 (pdf file)
  5. W. X. Ma, An approach for constructing nonisospectral hierarchies of evolution equations, Journal of Physics A: Mathematical and General, Vol.25(1992), L719--L726 (MR 93c:35151)
  6. W. X. Ma, The algebraic structures of isospectral Lax operators and applications to integrable equations, Journal of Physics A: Mathematical and General, Vol.25(1992), 5329--5343 (MR 94c:58088) (pdf file)
  7. W. X. Ma, Lax operator algebras associated with Lax representations of integrable systems, Chinese Science Bulletin, Vol.37, No.14(1992), 1229--1231
  8. W. X. Ma, Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations, Journal of Mathematical Physics, Vol.33, No.7(1992), 2464--2476 (MR 93h:58073)
  9. W. X. Ma, The product property of the generators of vector fields, Nature Journal, Vol.15, No.5 (1992), 391--392(in Chinese)
  10. W. X. Ma, Laurent polynomial spectral problem, nonisospectral flows and symmetry algebra, Proceedings of CSIAM Second Conference, Shanghai, 1992, 466--469
  11. W. X. Ma, Isospectral Lax operator algebras and integrable systems, Proceedings of CAST First Academic Annual Meeting of Youths, Science Volume, Chinese Science and Technology Press, 1992, 7--14(in Chinese)
  1. W. X. Ma, On the complete integrability of nonlinearized Lax systems for the classical Boussinesq hierarchy, Acta Mathematicae Applicatae Sinica, Vol.9, No.1(1993), 92--96
  2. W. X. Ma, The unified structure of zero curvature representations of integrable hierarchies, Chinese Science Bulletin, Vol.38, No.24(1993), 2025--2031 (pdf file)
  3. W. X. Ma, Hereditary symmetries and integrable systems for a class of Hamiltonian operators Applied Mathematics---A Journal of Chinese Universities, Vol.8, No.1(1993), 28--35(in Chinese) (MR 94c:35159)
  4. W. X. Ma, The algebraic structure of zero curvature representations and application to coupled KdV systems, Journal of Physics A: Mathematical and General, Vol.26(1993), 2573--2582 (MR 94i:58088)
  5. W. X. Ma, A simple scheme for generating nonisospectral flows from zero curvature representation, Physics Letters A, Vol.179(1993), 179--185 (MR 94f:58063)
  6. W. X. Ma, An exact solution to two dimensional Korteweg-de Vries-Burgers equation, Journal of Physics A: Mathematical and General, Vol.26(1993), L17--L20 (MR 93k:35235)
  7. W. X. Ma, A method of zero curvature representation for constructing symmetry algebras of integrable systems, Proceedings of the 21st International Conference on the Differential Geometry Methods in Theoretical Physics, World Scientific, 1993, 535--538 (pdf file)
  8. W. X. Ma and D. T. Zhou, Solitary wave solutions to a generalized KdV equation, Acta Physica Sinica, Vol.42, No.11(1993), 1731--1734(in Chinese) (pdf file) (MR 95d:35154)
  9. W. X. Ma, Travelling wave solutions to a seventh order generalized KdV equation, Physics Letters A, Vol.180(1993), 221--224 (MR 94m:35268)
  10. W. X. Ma, Lax operator algebras and applications to integrable hierarchies, Proceedings of First Academic Annual Meeting of Chinese Postdoctors, Beijing University Press, 1993, 1261--1266
  11. W. X. Ma, A hierarchy of coupled Burgers systems possessing a hereditary structure, Journal of Physics A: Mathematical and General, Vol.26(1993), L1169--L1174 (MR 94k:35284)
  1. W. X. Ma, Exact solutions to the Tu system through Painlevé analysis, Journal of Fudan University (Natural Science), Vol.33, No.3(1994), 319--326 (MR 96c:35169) (pdf file)
  2. W. X. Ma, The Lie algebra structures of time-dependent symmetries of evolution equations, Acta Mathematicae Applicatae Sinica, Vol.17(1994), 388--392(in Chinese) (MR 97a:58168) (pdf file)
  3. W. X. Ma, Virasoro algebras of hierarchies of nonisospectral Lax operators, Journal of Systems Science and Mathematical Sciences, Vol.14, No.4(1994), 309--316(in Chinese) (MR 96d:58066)
  4. W. X. Ma, Lax representations of hierarchies of evolution equations with Lienard recursive structures, Acta Mathematica Scientia, Vol.14, No.4(1994), 409--418 (in Chinese) (MR 96b:35206) (pdf file)
  5. W. X. Ma and W. Strampp, An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems, Physics Letters A, Vol.185(1994), 277--286 (MR 95a:58059) (pdf file)
  1. W. X. Ma, New finite dimensional integrable systems by symmetry constraint of the KdV equations, Journal of the Physical Society of Japan, Vol.64(1995), 1085--1091 (MR 96a:35174)
  2. X. G. Geng and W. X. Ma, A generalized Kaup-Newell spectral problem, soliton equations and finite-dimensional integrable systems, Il Nuovo Cimento A, Vol.108(1995), 477--486 (MR 96m:35265)
  3. W. X. Ma, Symmetry constraint of MKdV equations by binary nonlinearization, Physica A, Vol.219(1995), 467--481 (MR 96f:35145)

1996-2000:

  1. W. X. Ma and B. Fuchssteiner, Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation, International Journal of Non-Linear Mechanics, Vol.31(1996), 329--338 (MR 97e:76012) (pdf file)
  2. W. X. Ma and B. Fuchssteiner, Binary nonlinearization of Lax pairs, Proceedings of the First Workshop on Nonlinear Physics in Gallipoli, Italy, World Scientific, 1996, 217--224 (MR 98e:58099)
  3. W. X. Ma, B. Fuchssteiner and W. Oevel, A three-by-three matrix spectral problem for AKNS hierarchy and its binary nonlinearization, Physica A, Vol.233(1996), 331--354 (MR 97k:58082)
  4. W. X. Ma, Q. Ding, W. G. Zhang and B. Q. Lu, Binary nonlinearization of Lax pairs of Kaup-Newell soliton hierarchy, Il Nuovo Cimento B, Vol.111(1996), 1135--1149
  5. W. X. Ma and B. Fuchssteiner, The bi-Hamiltonian structures of the perturbation equations of KdV hierarchy, Physics Letters A, Vol.213(1996), 49--55 (MR 97a:58080)
  6. W. X. Ma and B. Fuchssteiner, Integrable theory of the perturbation equations, Chaos, Solitons & Fractals, Vol.7, No.8(1996), 1227--1250 (MR 97e:58113) (pdf file)
  7. W. X. Ma and Z. X. Zhou, Coupled integrable systems associated with a polynomial spectral problem and their Virasoro symmetry algebras, Progress of Theoretical Physics, Vol.96(1996), 449--457 (MR 97j:58064)
  8. W. X. Ma and K. S. Li, Virasoro symmetry algebra of Dirac soliton hierarchy, Inverse Problems, Vol.12(1996), L25--L31 (MR 97j:58135)
  1. W. X. Ma, Darboux transformations for a Lax integrable system in 2n-dimensions, Letters in Mathematical Physics, Vol.39(1997), 33--49 (MR 98e:58153) (pdf file)
  2. W. X. Ma, Problems and Solutions, no.10601, The American Mathematical Monthly, Vol.104(1997), 566
  3. W. X. Ma and G. F. Guo, Lax representations and zero curvature representations by Kronecker product, International Journal of Theoretical Physics, Vol.36(1997), 697--704 (MR 98m:58098)
  4. W. X. Ma, A note on symmetries and generalized W∞-algebra of the modified KP equation, Letters in Mathematical Physics, Vol.39(1997), 237--241 (MR 98h:58082)
  5. W. X. Ma Binary nonlinearization for the Dirac systems, Chinese Annals of Mathematics, Series B, Vol.18B(1997), 79--88 (MR 98h:58081) (pdf file)
  6. W. X. Ma, R. K. Bullough, P. J. Caudrey and W. I. Fushchych, Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras, Journal of Physics A: Mathematical and General, Vol.30(1997), 5141--5149 (MR 98i:58119)
  7. W. X. Ma, R. K. Bullough and P. J. Caudrey, Graded symmetry algebras of time-dependent evolution equations and application to the modified KP equations, Journal of Nonlinear Mathematical Physics, Vol.4(1997), 293--309 (MR 98m:35006) (pdf file)
  8. W. X. Ma and D. T. Zhou, Explicit exact solutions to a generalized KdV equation, Acta Mathematica Scientia, Vol.17(Supp.)(1997), 168--174
  1. W. X. Ma, Extension of hereditary symmetry operators, Journal of Physics A: Mathematical and General, Vol.31(1998), 7279--7289 (MR 99f:58100)
  2. W. X. Ma, A class of coupled KdV systems and their bi-Hamiltonian formulation, Journal of Physics A: Mathematical and General, Vol.31(1998), 7585--7591 (MR 99j:58095) (pdf file)
  3. W. X. Ma and M. Pavlov, Extending Hamiltonian operators to get bi-Hamiltonian coupled KdV systems, Physics Letters A, Vol.246(1998), 511--522
    4. (pdf file)
  4. R. G. Zhou and W. X. Ma, New classical and quantum integrable systems related to the MKdV integrable hierarchy, Journal of the Physical Society of Japan, Vol.67(1998), 4045--4050 (MR 2000c:37111)
  1. B. Fuchssteiner and W. X. Ma, An approach to master symmetries of lattice equations, in: Symmetries and Integrability of Difference Equations, London Math. Soc. Lecture Note Series 255, edited by P. A. Clarkson and F. W. Nijhoff (Cambridge University Press, Cambridge, 1999) 247--260 (MR 2000e:37104) (pdf file)
  2. W. X. Ma and B. Fuchssteiner, Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations, Journal of Mathematical Physics, Vol.40(1999), 2400--2418 (MR 2000c:37118) solv-int/9809009 (pdf file)
  3. W. X. Ma, Comment on "Generalized W∞-symmetry algebra of the conditionally integrable nonlinear evolution equation", Journal of Mathematical Physics, Vol.40(1999), 3685--3690
  4. W. X. Ma and R. G. Zhou, On inverse recursion operator and tri-Hamiltonian formulation for a Kaup-Newell system of DNLS equations, Journal of Physics A: Mathematical and General, Vol.32(1999), L239--L242 (MR 2000f:37101)
  5. Y. B. Zeng and W. X. Ma, The construction of canonical separated variables for the binary constrained AKNS flow, Physica A, Vol.274(1999), 505--515
  6. W. X. Ma and R. G. Zhou, A coupled AKNS-Kaup-Newell soliton hierarchy, Journal of Mathematical Physics, Vol.40(1999), 4419--4428 (MR 2000d:37085)
  7. Y. B. Zeng and W. X. Ma, Families of quasi-bi-Hamiltonian systems and separability, Journal of Mathematical Physics, Vol.40(1999), 4452--4473 (MR 2000f:37108)
  8. W. X. Ma, X. B. Hu, S. M. Zhu and Y. T. Wu, Bäcklund transformation and its superposition principle of a Blaszak-Marciniak four-field lattice, Journal of Mathematical Physics, Vol.40(1999), 6071--6086 (MR 2000h:37125)
  9. Y. B. Zeng and W. X. Ma, Separation of variables for soliton equations via their binary constrained flows, Journal of Mathematical Physics, Vol.40(1999), 6526--6557 (MR 2001e:37093)
  10. W. G. Zhang and W. X. Ma, Explicit solitary-wave solutions to generalized Pochhammer-Chree equations, Applied Mathematics and Mechanics, Vol.20(1999), no.6, 666--674 (MR 2000i:35172)
  1. Y. S. Li and W. X. Ma, Binary nonlinearization of AKNS spectral problem under higher-order symmetry constraints, Chaos, Solitons & Fractals, Vol.11(2000), 697--710 (MR 2001a:37108)
  2. H. W. Tam, W. X. Ma, X. B. Hu and D. L. Wang, The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited, Journal of the Physical Society of Japan, Vol.69(2000), 45--52 (MR 2001c:35229)
  3. R. G. Zhou and W. X. Ma, The r-matrix structure of the restricted coupled AKNS-Kaup-Newell flow, Applied Mathematics Letters, Vol.13(2000), 131--135 (MR 2000m:37165)
  4. K. M. Tamizhmani and W. X. Ma, Master symmetries from Lax operators for certain lattice soliton hierarchies, Journal of the Physical Society of Japan, Vol.69(2000), 351--361 (MR 2002a:37111)
  5. W. X. Ma and X. G. Geng, New completely integrable Neumann systems related to the perturbation KdV hierarchy, Physics Letters B, Vol.475(2000), 56--62 (MR 2000m:37107)
  6. W. X. Ma, Integrable couplings of soliton equations by perturbations I. A general theory and application to the KdV hierarchy, Methods and Applications of Analysis, Vol.7(2000), no. 1, 21--56 (MR 2001k:37115) (pdf file)
  7. W. X. Ma and Y. S. Li, Do symmetry constraints nonlinearize spectral problems into Hamiltonian systems? Physics Letters A, Vol.268(2000), no.4-6, 352--359 (MR 2001b:37100)
  8. R. G. Zhou and W. X. Ma, Classical r-matrix structures of integrable mappings related to the Volterra lattice, Physics Letters A, Vol.269(2000), no.2-3, 103--111 (MR 2001d:37128)
  9. Y. B. Zeng, W. X. Ma and R. L. Lin, Integration of the soliton hierarchy with self-consistent sources, Journal of Mathematical Physics, Vol.41(2000), no.8, 5453--5489 (MR 2001c:37085)
  10. Y. S. Li and W. X. Ma, Hamiltonian structures of binary higher-order constrained flows associated with two 3 x 3 spectral problems, Physics Letters A, Vol.272(2000), no.4, 245--256 (MR 2001m:37140)
  11. Y. S. Li, W. X. Ma and J. E. Zhang, Darboux transformations of classical Boussinesq system and its new solutions, Physics Letters A, Vol.275(2000), 60--66 (MR 2002f:35112)
  12. X. G. Geng and W. X. Ma, A multipotential generalization of the nonlinear diffusion equation. Journal of the Physical Society of Japan, Vol.69(2000), no.4, 985--986 (MR 2001a:37102)
  13. W. X. Ma and R. G. Zhou, Liouville integrability of perturbation systems of finite-dimensional integrable Hamiltonian systems, Physics Letters A, Vol.276(2000), 73--78 (MR 2002b:70025)
  14. R. G. Zhou and W. X. Ma, Algebro-geometric solutions of the (2+1)-dimensional Gardner equation, Nuovo Cimento B, Vol.115(2000), 1419--1431 (MR 2002c:37116) ) (pdf file)

2001-2005:

  1. W. X. Ma and S. M. Zhu, Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems, Chaos, Solitons & Fractals, Vol.12(2001), 67--72 (MR 2001h:37142)
  2. Z. X. Zhou and W. X. Ma, Finite dimensional integrable Hamiltonian systems associated with DSI equation by Bargmann constraints, Journal of the Physical Society of Japan, Vol.70(2001), 1241--1245
  3. W. X. Ma and R. G. Zhou, Nonlinearization of spectral problems of the perturbation KdV systems, Physica A, Vol.296(2001), 60--74 (MR 2002h:35227)
  4. Y. B. Zeng, W. X. Ma and Y. J. Shao, Two binary Darboux transformations for the KdV hierarchy with self-consistent sources, Journal of Mathematical Physics, Vol.42(2001), 2113--2128 (MR 2002b:37116)
  5. R. L. Lin, Y. B. Zeng and W. X. Ma, Solving the KdV hierarchy with self-consistent sources by inverse scattering method, Physica A, Vol.291(2001), 287--798 (MR 2002c:35231)
  6. W. X. Ma and R. G. Zhou, On the relationship between classical Gaudin models and BC-type Gaudin models, Journal of Physics A: Mathematical and General, Vol.34(2001), 867--880 (MR 2002d:82022)
  7. Z. X. Zhou, W. X. Ma and R. G. Zhou, Finite-dimensional integrable systems associated with the Davey-Stewartson I equation, Nonlinearity, Vol.14(2001), 701--717 (MR 2003a:37078)
  8. W. X. Ma and X. G. Geng, Bäcklund transformations of soliton systems from symmetry constraints, CRM Proceedings and Lecture Notes, Vol.29(2001), 313--323 (MR 2002m:37112) (pdf file)
  9. W. X. Ma, Binary Bargmann symmetry constraints of soliton equations, Nonlinear Analysis, Vol.47(2001), 5199--5211 (MR 2004d:37109)
  10. W. X. Ma and Z. X. Zhou, Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions, Journal of Mathematical Physics, Vol.42(2001), 4345--4382 (MR 2002k:37128) (pdf file)
  1. W. X. Ma and R. G. Zhou, Binary nonlinearization of spectral problems of the perturbation AKNS systems, Chaos, Solitons & Fractals, Vol.13(2002), 1451--1463 (MR 2003a:37097)
  2. W. X. Ma and R. G. Zhou, Adjoint symmetry constraints leading to binary nonlinearization, Journal of Nonlinear Mathematical Physics, Vol.9(2002), Supplement, 106--126 (MR 2004a:37086)
  3. K. Maruno and W. X. Ma, Bilinear forms of integrable lattices related to Toda and Lotka-Volterra lattices, Journal of Nonlinear Mathematical Physics, Vol.9(2002), Supplement, 127--139 (MR 2004a:37106)
  4. W. X. Ma, A bi-Hamiltonian formulation for triangular systems by perturbations, Journal of Mathematical Physics, Vol.43(2002), no. 3, 1408--1421 (MR 2002k:37129)
  5. X. B. Hu and W. X. Ma, Application of Hirota's bilinear formalism to the Toeplitz lattice--some special soliton-like solutions, Physics Letters A, Vol.293(2002), no. 3-4, 161--165 (MR 2003a:37110)
  6. M. Blaszak and W. X. Ma, New Liouville integrable noncanonical Hamiltonian systems from the AKNS spectral problem, Journal of Mathematical Physics, Vol.43(2002), no. 6, 3107--3123 (MR 2003g:37112)
  7. W. X. Ma and Y. B. Zeng, Binary constrained flows and separation of variables for soliton equations, Australian & New Zealand Industrial and Applied Mathematics Journal, Vol.44(2002), 129--139 (MR 2004c:37164) (ps file, pdf file)
  8. W. X. Ma, The theory of binary nonlinearization and its applications to soliton equations, Proceedings of the Third Asian Mathematical Conference (2000, Diliman), World Scientific, River Edge, NJ, 2002, 337--351 (MR 2003d:37112)
  9. R. L. Lin, W. X. Ma and Y. B. Zeng, Higher order potential expansion for the continuous limits of the Toda hierarchy, Journal of Physics A: Mathematical and General, Vol.35(2002), 4915--4928 (MR 2003h:37118)
  10. W. X. Ma, Complexiton solutions to the Korteweg-de Vries equation, Physics Letters A, Vol.301(2002), 35--44 (MR 2003h:35237)
  11. Y. S. Li and W. X. Ma, A nonconfocal involutive system and constrained flows associated with the MKdV- equation, Journal of Mathematical Physics, Vol.43(2002), 4950--4962 (MR 2003f:37119)
  12. W. X. Ma and R. G. Zhou, Adjoint symmetry constraints of multicomponent AKNS equations, Chinese Annals of Mathematics, Series B, Vol.23(2002), 373--384 (MR 2003h:37119)
  13. Y. B. Zeng, Y. J. Shao and W. X. Ma, Integral-Type Darboux Transformations for the mKdV hierarchy with self-consistent sources, Communications in Theoretical Physics, Vol.38(2002), 641--648
  1. C. R. Gilson, X. B. Hu, W. X. Ma and H. W. Tam, Two integrable differential-difference equations derived from the discrete BKP equation and their related equations, Physica D, Vol.175(2003), 177--184 (MR 2004a:35202)
  2. M. Blaszak and W. X. Ma, Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems, Journal of Geometry and Physics, Vol.47(2003), 21--42 (MR 2004k:37117)
  3. P. Gao, B. L. Guo and W. X. Ma, Persistent homoclinic orbits for perturbed nonlinear Schroeding equation with derivative term, Advances in Mathematics (China), Vol.32(2003), 253--256
  4. W. X. Ma, Enlarging spectral problems to construct integrable couplings of soliton equations, Physics Letters A, Vol.316(2003), 72--76 (MR 2004g:37102)
  5. W. X. Ma, Diversity of exact solutions to a restricted Boiti-Leon-Pempinelli dispersive long-wave system, Physics Letters A, Vol.319(2003), 325--333 (MR 2004i:76028)
  6. W. X. Ma, Soliton, positon and negaton solutions to a Schroedinger self-consistent source equation, Journal of the Physical Society of Japan, Vol.72(2003), 3017--3019
  1. W. X. Ma, Wronskians, Generalized Wronskians and solutions to the Korteweg-de Vries equation, Chaos, Solitons & Fractals, Vol.19(2004), 163--170 (MR 2004j:35251) (pdf file)
  2. W. X. Ma and X. X. Xu, Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair, International Journal of Theoretical Physics, Vol.43(2004), 219--235 (MR 2006a:37068) (pdf file)
  3. K. Maruno, W. X. Ma and M. Oikawa, Generalized Casorati determinant and positon-negaton-type solutions of the Toda lattice equation, Journal of the Physical Society of Japan, Vol.73(2004), 831--837
  4. W. X. Ma and X. X. Xu, A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations, Journal of Physics A: Mathematical and General, Vol.37(2004), 1323--1336 (MR 2005a:37145) (pdf file)
  5. W. X. Ma and Y. You, Rational solutions of the Toda lattice equation in Casoratian form, Chaos, Solitons & Fractals, Vol.22(2004), 395--406 (MR 2005b:37178) (pdf file)
  6. W. X. Ma and K. Maruno, Complexiton solutions of the Toda lattice equation, Physica A, Vol.343(2004), 219--237 (MR 2005h:37181) (pdf file)
  1. W. X. Ma and Y. You, Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions, Transactions of the American Mathematical Society, Vol.357(2005), 1753--1778 (MR 2005k:37156) (pdf file)
  2. W. X. Ma, Integrable couplings of vector AKNS soliton equations, Journal of Mathematical Physics, Vol.46(2005), 033507, 19 pp. (MR 2005k:37155)
  3. W. X. Ma, Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources, Chaos, Solitons & Fractals, Vol.26(2005), 1453--1458
  4. W. X. Ma and W. Strampp, Bilinear forms and Bäcklund transformations of the perturbation systems, Physics Letters A, Vol.341(2005), 441--449 (MR 2006d:37126)
  5. W. X. Ma, Complexiton solutions to integrable equations, Nonlinear Analysis, Vol. 63(2005), e2461--e2471 (pdf file)
  6. W. X. Ma, Integrability, in: Encyclopedia of Nonlinear Science, ed. A. Scott, Taylor & Francis (2005), 250--253 (pdf file)

2006-2010:

  1. W. X. Ma, X. X. Xu and Y. F. Zhang, Semi-direct sums of Lie algebras and continuous integrable couplings, Physics Letters A, Vol.351(2006), 125--130 (MR 2006i:37149) (pdf file)
  2. W. X. Ma, X. X. Xu and Y. F. Zhang, Semidirect sums of Lie algebras and discrete integrable couplings, Journal of Mathematical Physics, Vol.47(2006), 053501, 16 pp. (MR 2007e:37047) (pdf file)
  3. W. X. Ma and M. Chen, Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras, Journal of Physics A: Mathematical and General, Vol.39(2006), 10787--10801 (MR 2007g:37050) (pdf file)
  4. W. X. Ma and H. Y. Wu, Time-space integrable decompositions of nonlinear evolution equations, Journal of Mathematical Analysis and Applications, Vol.324(2006), 134--149 (MR 2007j:37103)
  5. W. X. Ma, Mixed rational-soliton solutions to the Toda lattice equation, Differential & Difference Equations and Applications, 711--720, Hindawi Publ. Corp., New York, 2006 (MR 2008a:37087) (pdf file)
  1. W. X. Ma, H. Y. Wu and J. S. He, Partial differential equations possessing Frobenius integrable decompositions, Physics Letters A, Vol.364(2007), 29--32 MR2288009 (2007k:35421) (pdf file)
  2. W. X. Ma and M. Chen, Do symmetry constraints yield exact solutions? Chaos, Solitons & Fractals, Vol.32(2007), 1513--1517 MR2286313 (2007h:35005) (pdf file)
  3. C. X. Li, W. X. Ma, X. J. Liu and Y. B. Zeng, Wronskian solutions of the Boussinesq equation--solitons, negatons, positons and complexitons, Inverse Problems, Vol.23(2007), 279--296 MR2302974 (2007m:37164)
  4. S. B. Damelin and W. X. Ma, Preface [Special issue: Topics in integrable systems], Journal of Computational and Applied Mathematics, Vol.202(2007), 1--2
  5. W. X. Ma and B. Shekhtman, A linear system arising from a polynomial problem and its applications, Chinese Annals of Mathematics, Series B, Vol.28(2007), 283--292
  6. W. X. Ma, A Hamiltonian structure associated with a matrix spectral problem of arbitrary-order, Physics Letters A, Vol.367(2007), 473--477
  7. J. S. He, K. L. Tian, A. Foerster and W. X. Ma, Additional symmetries and string equation of the CKP hierarchy, Letters in Mathematical Physics, Vol.81(2007), 119--134
  8. W. X. Ma, A discrete variational identity on semi-direct sums of Lie algebras, Journal of Physics A: Mathematical and Theoretical, Vol.40(2007), 15055--15069 (pdf file)
  1. W. X. Ma, A multi-component Lax integrable hierarchy with Hamiltonian structure, Pacific Journal of Applied Mathematics, Vol.1(2008), 69--75 (pdf file)
  2. W. X. Ma, J. S. He and Z. Y. Qin, A supertrace identity and its applications to superintegrable systems, Journal of Mathematical Physics, Vol.49(2008), 033511, 13 pp. (pdf file)
  3. L. Luo, W. X. Ma and E. G. Fan, The algebraic structure of zero curvature representations associated with integrable couplings, International Journal of Modern Physics A, Vol.23(2008), 1309--1325 (pdf file)
  4. W. X. Ma, An application of the Casoratian technique to the 2D Toda lattice equation, Modern Physics Letters B, Vol.22(2008), 1815--1825 (pdf file)
  1. W. X. Ma, Multi-component bi-Hamiltonian Dirac integrable equations, Chaos, Solitons & Fractals, Vol.39(2009), 282--287 (pdf file)
  2. W. X. Ma, C. X. Li and J. S. He, A second Wronskian formulation of the Boussinesq equation, Nonlinear Analysis: Theory, Methods & Applications, Vol.70(2009), 4245--4258 (pdf file)
  3. L. Gao, W. X. Ma and W. Xu, Travelling wave and double-solitary-like solutions to two nonlinear evolution equations, Dynamics of Continuous, Discrete & Impulsive Systems, Series A: Mathematical Analysis, Vol.16(2009), Differential Equations and Dynamical Systems, suppl. S1, 10--14
  4. W. X. Ma, The Casoratian technique for integrable lattice equations, Dynamics of Continuous, Discrete & Impulsive Systems, Series A: Mathematical Analysis, Vol.16(2009), Differential Equations and Dynamical Systems, suppl. S1, 201--207
  5. W. X. Ma, R. G. Zhou and L. Gao, Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in (2+1) dimensions, Modern Physics Letters A, Vol.24(2009), 1677--1688 (pdf file)
  6. W. X. Ma and L. Gao, Coupling integrable couplings, Modern Physics Letters B, Vol.23(2009), 1847--1860 (pdf file)
  7. W. X. Ma and J.-H. Lee, A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo-Miwa equation, Chaos, Solitons & Fractals, Vol.42(2009), 1356--1363 (pdf file)
  8. W. X. Ma, X. Gu and L. Gao, A note on exact solutions to linear differential equations by the matrix exponential, Advances in Applied Mathematics and Mechanics, Vol.1(2009), 573--580 (pdf file)
  9. W. X. Ma, Variational identities and applications to Hamiltonian structures of soliton equations, Nonlinear Analysis: Theory, Methods & Applications, Vol.71(2009), e1716--e1726 (pdf file, )
  10. L. Gao, W. X. Ma and W. Xu, Travelling wave solutions to Zufiria's higher-order Boussinesq type equations, Nonlinear Analysis: Theory, Methods & Applications, Vol.71(2009), e711-e724 (pdf file)
  11. W. X. Ma and M. Chen, Direct search for exact solutions to the nonlinear Schrödinger equation, Applied Mathematics and Computation, Vol.215(2009), 2835--2842 (pdf file)
  12. W. X. Ma, Wronskian solutions to integrable equations, Discrete and Continuous Dynamical Systems - Supplement 2009, 506--515 (pdf file)
  1. W. X. Ma and B. Shekhtman, Do the chain rules for matrix functions hold without commutativity? Linear and Multilinear Algebra, Vol.58(2010), 79-87 (pdf file)
  2. W. X. Ma and Y. Zhang, Component-trace identities for Hamiltonian structures, Applicable Analysis, Vol.89(2010), 457-472
  3. W. X. Ma, An extended Harry Dym hierarchy, Journal of Physics A: Mathematical and Theoretical, Vol.43(2010), 165202 (pdf file)
  4. J. Yu, J. S. He, W. X. Ma and Y. Cheng, The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems, Chinese Annals of Mathematics, Series B, Vol.31(2010), no. 3, 361-372 (pdf file)
  5. L. Gao, W. X. Ma and W. Xu, Frobenius integrable decompositions for ninth-order partial differential equations of specific polynomial type, Applied Mathematics and Computation, Vol.216(2010), 2728-2733 (pdf file)
  6. W. X. Ma, Variational identities and Hamiltonian structures, in: Nonlinear and Modern Mathematical Physics, pp.1-27, edited by W. X. Ma, X. B. Hu and Q. P. Liu, AIP Conference Proceedings, Vol.1212 (American Institute of Physics, Melville, NY, 2010)
  7. W. X. Ma, Compatibility equations of the extended KP hierarchy, in: Nonlinear and Modern Mathematical Physics, pp.94-105, edited by W. X. Ma, X. B. Hu and Q. P. Liu, AIP Conference Proceedings, Vol.1212 (American Institute of Physics, Melville, NY, 2010)
  8. W. X. Ma, An extended noncommutative KP hierarchy, Journal of Mathematical Physics, Vol.51(2010), 073505
  9. W. X. Ma, T. W. Huang and Y. Zhang, A multiple exp-function method for nonlinear differential equations and its application, Physica Scripta, Vol.82(2010), 065003 (pdf file) (Most cited paper)
  10. Z. Wang and W. X. Ma, Discrete Jacobi sub-equation method for nonlinear differential-difference equations, Mathematical Methods in the Applied Sciences, Vol.33(2010), no. 12, 1463-1472
  11. W. X. Ma and Z. N. Zhu, Constructing nonlinear discrete integrable Hamiltonian couplings, Computers and Mathematics with Applications, Vol.60 (2010), 2601-2608(pdf file)
  12. Z. Y. Qin and W. X. Ma, An extended (G'/G)-expansion method with applications to nonlinear evolution equations, International Journal of Nonlinear Sciences and Numerical Simulation, Vol.11(2010), no. 12, 1011-1017(pdf file)

2011-2015:

  1. W. X. Ma, Commutativity of the extended KP flows, Communications in Nonlinear Science and Numerical Simulation, Vol.16(2011), 722-730 (pdf file)
  2. W. X. Ma, Comment on the 3+1 dimensional Kadomtsev-Petviashvili equations, Communications in Nonlinear Science and Numerical Simulation, Vol.16(2011), 2663-2666 (pdf file)
  3. W. X. Ma and E. G. Fan, Linear superposition principle applying to Hirota bilinear equations, Computers and Mathematics with Applications, Vol.61(2011), 950-959 (pdf file)
  4. W. X. Ma, Nonlinear continuous integrable Hamiltonian couplings, Applied Mathematics and Computation, Vol.217(2011), 7238-7244 (pdf file)
  5. W. X. Ma and A. Pekcan, Uniqueness of the Kadomtsev-Petviashvili and Boussinesq equations, Zeitschrift fr Naturforschung A, Vol.66(2011), 377-382 (pdf file)
  6. Y. N. Tang, W. X. Ma, W. Xu and L. Gao, Wronskian determinant solutions of the (3 + 1)-dimensional Jimbo-Miwa equation, Applied Mathematics and Computation, Vol.217(2011), 8722-8730 (pdf file)
  7. W. X. Ma, A. Abdeljabbar and M. G. Asaad, Wronskian and Grammian solutions to a (3+1)-dimensional generalized KP equation, Applied Mathematics and Computation, Vol.217(2011), 10016-10023 (pdf file)
  8. L. Luo, W. X. Ma and E. G. Fan, An algebraic structure of zero curvature representations associated with coupled integrable couplings and applications to τ-symmetry algebras, International Journal of Modern Physics B, Vol.25(2011), 3237-3252 (pdf file)
  9. W. X. Ma, Combined Wronskian solutions to the 2D Toda molecule equation, Physics Letters A, Vol.375(2011), 3931-3935 (pdf file)
  10. M. E. H. Ismail and W. X. Ma, Equations of motion for zeros of orthogonal polynomials related to the Toda lattices, Arab Journal of Mathematical Sciences, Vol.17(2011), 1-10 (pdf file)
  11. R. G. Zhou, W. X. Ma and J. L. Wang, Integrable deformations of binary constrained soliton flows, Chinese Annals of Mathematics, Series A, Vol.32(2011), 161-172; translation in Chinese Journal of Contemporary Mathematics, Vol.32(2011), 137-148
  12. W. X. Ma, Generalized bilinear differential equations, Studies in Nonlinear Sciences, Vol.2(2011), 140-144 (pdf file)
  1. Y. N. Tang, W. X. Ma, W. Xu and L. Gao, Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order, Communications in Nonlinear Science and Numerical Simulation, Vol.17(2012), 585-592 (pdf file)
  2. M. G. Asaad and W. X. Ma, Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation and its modified counterpart, Applied Mathematics and Computation, Vol.218(2012), 5524-5542 (pdf file)
  3. W. X. Ma, Y. Zhang, Y. N. Tang and J. Y. Tu, Hirota bilinear equations with linear subspaces of solutions, Applied Mathematics and Computation, Vol.218(2012), 7174-7183 (pdf file)
  4. W. X. Ma, Loop algebras and bi-integrable couplings, Chinese Annuals of Mathematics Series B, Vol.33(2012), 207-224 (pdf file)
  5. Y. F. Zhang and W. X. Ma, Lie algebraic approach to nonlinear integrable couplings of evolution type, Journal of Applied Nonlinear Dynamics, Vol.1(2012), 1-28 (pdf file)
  6. W. X. Ma and A. Abdeljabbar, A bilinear Bäcklund transformation of a (3+1)-dimensional generalized KP equation, Applied Mathematics Letters, Vol.12(2012), 1500-1504 (pdf file)
  7. Y. N. Tang, W. X. Ma and W. Xu, Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation, Chinese Physics B, Vol.21(2012), no. 7, 070212, 7 pp. (pdf file)
  8. W. X. Ma, A refined invariant subspace method and applications to evolution equations, Science China Mathematics, Vol.55(2012), 1796-1778 (pdf file)
  9. W. X. Ma and Y. P. Liu, Invariant subspaces and exact solutions of a class of dispersive evolution equations, Communications in Nonlinear Science and Numerical Simulation, Vol.17(2012), 3795-3801 (pdf file)
  10. W. X. Ma and Z. N. Zhu, Solving the (3+1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm, Applied Mathematics and Computation, Vol.218(2012), 11871-11879 (pdf file)
  11. Z. Y. Qin, G. Mu and W. X. Ma, Painlevé integrability and complexiton-like solutions of a coupled Higgs model, International Journal of Theoretical Physics, Vol.51(2012), 999-1006 (pdf file)
  12. Y. N. Tang, J. Y. Tu and W. X. Ma, Two new Wronskian conditions for the (3+1)-dimensional Jimbo-Miwa equation, Applied Mathematics and Computation, Vol.218(2012), 10050-100556 (pdf file)
  13. Y. Zhang, Y. C. You, W. X. Ma and H. Q. Zhao, Resonance of solitons in a coupled higher-order Ito equation, Journal of Mathematical Analysis and Applications, Vol.394(2012), 121-128 (pdf file)
  14. M. G. Asaad and W. X. Ma, Extended Gram-type determinant, wave and rational solutions to two (3+1)-dimensional nonlinear evolution equations, Applied Mathematics and Computation, Vol.219(2012), 213-225 (pdf file)
  15. A. Abdeljabbar, W. X. Ma and A. Yildirim, Determinant solutions to a (3+1)-dimensional generalized KP equation with variable coefficients, Chinese Annals of Mathematics, Series B, Vol.33(2012), 641-650 121-128 (pdf file)
  16. W. X. Ma, J. H. Meng and H. Q. Zhang, Integrable couplings, variational identities and Hamiltonian formulations, Global Journal of Mathematical Sciences, Vol.1(2012), 1-17 (pdf file)
  17. Z. Y. Qin, W. X. Ma and H. C. Ma, Painlevé integrability of coupled variable coefficient higher-order nonlinear Schrödinger equations with free parameters, Chinese Annals of Mathematics, Series A, Vol.33(2012), 229-236
  1. H. T. Chen, S. H. Yang and W. X. Ma, Double sub-equation method for complexiton solutions of nonlinear partial differential equations, Applied Mathematics and Computation, Vol.219(2013), 4775-4781
  2. W. X. Ma, Bilinear equations, Bell polynomials and linear superposition principle, Journal of Physics: Conference Series, Vol.411(2013), 012021, 11 pp. (pdf file)
  3. W. X. Ma and T. C. Xia, Pfaffianized systems for a generalized Kadomtsev-Petviashvili equation, Physica Scripta, Vol.87(2013), 055003, 8 pp. (pdf file)
  4. W. X. Ma, A soliton hierarchy associated with so(3,R), Applied Mathematics and Computation, Vol.220(2013), 117-122 (pdf file)
  5. W. X. Ma, J. H. Meng and H. Q. Zhang, Tri-integrable couplings by matrix loop algebras, International Journal of Nonlinear Sciences and Numerical Simulation, Vol.14(2013), 377-388 (pdf file)
  6. J. H. Meng and W. X. Ma, Non-semisimple Lie algebras of block matrices and applications to bi-integrable couplings, Advances in Applied Mathematics and Mechanics, Vol.5(2013), 652-670
  7. W. X. Ma, H. Q. Zhang and J. H. Meng, A block matrix loop algebra and bi-integrable couplings of the Dirac equations, East Asian Journal on Applied Mathematics, Vol.3(2013), 171-189 (pdf file)
  8. J. H. Meng and W. X. Ma, Hamiltonian tri-integrable couplings of the AKNS hierarchy, Communications in Theoretical Physics, Vol.59(2013), 385-392
  9. W. X. Ma, Bilinear equations and resonant solutions characterized by Bell polynomials, Reports on Mathematical Physics, Vol.72(2013), 41-56
  10. W. X. Ma, Trilinear equations, Bell polynomials, and resonant solutions, Frontiers of Mathematics in China, Vol.8(2013), 1139-1156 (pdf file)
  11. H. C. Zheng, W. X. Ma and X. Gu, Hirota bilinear equations with linear subspaces of hyperbolic and trigonometric function solutions, Applied Mathematics and Computation, Vol.220(2013), 226-234 (pdf file)
  12. W. X. Ma, J. H. Meng and B. Shekhtman, Tri-integrable couplings of the KdV hierarchy associated with a non-semisimple Lie algebra, Global Journal of Mathematical Sciences, Vol.2(2013), 9-19 (pdf file)
  13. W. X. Ma, Lie algebra structures associated with zero curvature equations and generalized zero curvature equations, British Journal of Applied Science & Technology, Vol.3(2013), 1336-1344 (pdf file)
  14. W. X. Ma, A spectral problem based on so(3,R) and its associated commuting soliton equations, Journal of Mathematical Physics, Vol.54(2013), 103509, 8 pp. (pdf file)
  15. W. X. Ma, Integrable couplings and matrix loop algebras, in: Nonlinear and Modern Mathematical Physics, pp.105-122, edited by W. X. Ma and D. Kaup, AIP Conference Proceedings, Vol.1562 (American Institute of Physics, Melville, NY, 2013) (pdf file)
  16. S. W. Liu and W. X. Ma, The string equation and the tau-function Witt constraints for the discrete Kadomtsev-Petviashvili hierarchy, Journal of Mathematical Physics, Vol.54(2013), 103513, 14 pp. (pdf file)
  1. W. G. Rui, W. X. Ma, C. M. Khalique and Z. N. Zhu, Study of integrability and exact solutions for nonlinear evolution equations, Abstract and Applied Analysis, Vol.2014(2014), Article ID 373745, pp3
  2. H. H. Dong, W. X. Ma, Y. F. Zhang and T. T. Chen, Integrable couplings: generation, Hamiltonian structures, conservation laws, and applications, Abstract and Applied Analysis, Vol.2014(2014), Article ID 356350, pp2
  3. H. Q. Zhang and W. X. Ma, Extended transformed rational function method and applications to complexiton solutions, Applied Mathematics and Computation, Vol.230(2014), 509-515
  4. W. X. Ma, S. Manukure and H. C. Zheng, A counterpart of the Wadati-Konno-Ichikawa soliton hierarchy associated with so(3,R), Zeitschrift für Naturforschung A, Vol.69(2014), 411-419 (pdf file)
  5. Y. J. Ye, W. X. Ma, S. F. Shen and D. D. Zhang, A class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductions, Journal of Nonlinear Mathematical Physics, Vol.21(2014), no. 1, 132-148
  6. W. X. Ma, An integrable counterpart of the D-AKNS soliton hierarchy from so(3,R), Physics Letters A, Vol.378(2014), no. 24-25, 1717-1720 (pdf file)
  7. S. Manukure and W. X. Ma, Bi-integrable couplings of a new soliton hierarchy associated with a non-semisimple Lie algebra, Applied Mathematics and Computation, Vol.245(2014), 44-52
  8. W. X. Ma, C. G. Shi, E. A. Appiah, C. X. Li and S. F. Shen, An integrable generalization of the Kaup-Newell soliton hierarchy, Physica Scripta, Vol.89(2014), 065203, pp8 (pdf file)
  9. C. G. Shi, W. X. Ma and M. McAnally, Integrable counterparts of the D-Kaup-Newell soliton hierarchy, Applied Mathematics and Computation, Vol.248(2014), 463-469 (pdf file)
  10. W. X. Ma, T. C. Xia and Z. N. Zhu, A generalization of the Wadati-Konno-Ichikawa soliton hierarchy and its Liouville integrability, International Journal of Nonlinear Sciences and Numerical Simulation, Vol.15(2014), no. 6, 397-404 (pdf file)
  11. W. X. Ma, S. F. Shen, S. M. Yu, H. Q. Zhang and W. Y. Zhang, An integrable so(3,R)-counterpart of the Heisenberg soliton hierarchy, Reports on Mathematical Physics, Vol.74(2014), no. 3, 283-299 (pdf file)
  12. W. Y. Zhang and W. X. Ma, An so(3,R) counterpart of the Dirac soliton hierarchy and its bi-integrable couplings, International Journal of Theoretical Physics, Vol.53(2014), 4211-4222 (pdf file)
  1. S. Manukure, W. X. Ma and E. Appiah, A tri-Hamiltonian formulation of a new soliton hierarchy associated with so(3,R), Applied Mathematics Letters, Vol.39(2015), 28-30
  2. H. Y. Zhu, S. M. Yu, S. F. Shen and W. X. Ma, New integrable sl(2,R)-generalization of the classical Wadati-Konno-Ichikawa hierarchy, Communications in Nonlinear Science and Numerical Simulation, Vol.22(2015), no. 1-3, 1341-1349
  3. S. F. Shen, L. Y. Jiang, Y. Y. Jin and W. X. Ma, New soliton hierarchies associated with the Lie algebra so(3,R) and their bi-Hamiltonian structures, Reports on Mathematical Physics, Vol.75(2015), no. 1, 113-133
  4. Y. Zhang and W. X. Ma, Rational solutions to a KdV-like equation, Applied Mathematics and Computation, Vol.256(2015), 252-256 (pdf file)
  5. Y. F. Zhang and W. X. Ma, A study on rational solutions to a KP-like equation, Zeitschrift für Naturforschung A, Vol.70(2015), 263-268 (pdf file)
  6. S. M. Yu, Y. Q. Yao, S. F. Shen and W. X. Ma, Bi-integrable couplings of a Kaup-Newell type soliton hierarchy and their bi-Hamiltonian structures, Communications in Nonlinear Science and Numerical Simulation, Vol.23(2015), 366-377 (pdf file)
  7. L. Y. Jiang, Y. Y. Jin, W. X. Ma, S. F. Shen and H. Y. Zhu, Novel soliton hierarchies of Levi type and their bi-Hamiltonian structures, Communications in Nonlinear Science and Numerical Simulation, Vol.23(2015), 388-396 (pdf file)
  8. C. G. Shi, B. Z. Zhao and W. X. Ma, Exact rational solutions to a Boussinesq-like equation in (1+1)-dimensions, Applied Mathematics Letters, Vol.48(2015), 170-176 (pdf file)
  9. Y. N. Tang, L. Wang and W. X. Ma, Integrable couplings, bi-integrable couplings and their Hamiltonian structures of the Giachetti-Johnson soliton hierarchy, Mathematical Methods in the Applied Sciences, Vol.38(2015), 2305-2315
  10. S. Manukure and W. X. Ma, A soliton hierarchy associated with a new spectral problem and its Hamiltonian structure, Journal of Mathematical Physics, Vol.56(2015), 021502, 7 pp.
  11. S. Manukure and W. X. Ma, An integrable extension of a soliton hierarchy associated with so(3,R) and its bi-Hamiltonian formulation, Journal of Mathematical Physics, Vol.56(2015), 111505, 8 pp.
  12. S. F. Shen, C. X. Li, Y. Y. Jin and S. M. Yu, Multi-component integrable couplings for the Ablowitz-Kaup-Newell-Segur and Volterra hierarchies, Mathematical Methods in the Applied Sciences, Vol.38(2015), 4345-4356
  13. W. X. Ma, Conservation laws of discrete evolution equations by symmetries and adjoint symmetries, Symmetry, Vol.7(2015), 714-725 (pdf file)
  14. X. Lü, W. X. Ma and C. M. Khalique, A direct bilinear Bäcklund transformation of a (2+1)-dimensional Korteweg-de Vries-like model, Applied Mathematics Letters, Vol.50(2015), 37-42 (pdf file)
  15. W. X. Ma, Lump solutions to the Kadomtsev-Petviashvili equation, Physics Letters A, Vol.379(2015), 1975-1978 (pdf file)
  16. X. Lü, W. X. Ma, J. Yu, F. H. Lin and and C. M. Khalique, Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model, Nonlinear Dynamics, Vol.82(2015), 1211-1220 (pdf file)

2016-2020:

  1. X. Lü, W. X. Ma, J. Yu and C. M. Khalique, Solitary waves with the Madelung fluid description: A generalized derivative nonlinear Schrödinger equation, Communications in Nonlinear Science and Numerical Simulation, Vol.31(2016), 40-46 (pdf file)
  2. W. X. Ma, J. H. Meng and M. S. Zhang, Nonlinear bi-integrable couplings with Hamiltonian structures, Mathematics and Computers in Simulation, Vol.127(2016), 166-177 (pdf file)
  3. W. X. Ma, Z. Y. Qin and X. Lü, Lump solutions to dimensionally reduced p-gKP and p-gBKP equations, Nonlinear Dynamics, Vol.84(2016), 923-931 (pdf file)
  4. X. Lü, W. X. Ma, S. T. Chen and C. M. Khalique, A note on rational solutions to a Hirota-Satsuma-like equation, Applied Mathematics Letters, Vol.58(2016), 13-18 (pdf file)
  5. Ö. Ünsal and W. X. Ma, Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations, Computers and Mathematics with Applications, Vol.71(2016), 1242-1247 (pdf file)
  6. X. Lü, W. X. Ma, Y. Zhou and C. M. Khalique, Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation, Computers and Mathematics with Applications, Vol.71(2016), 1560-1567 (pdf file)
  7. Y. J. Ye, Z. H. Li, C. X. Li, S. F. Shen and W. X. Ma, A generalized Dirac soliton hierarchy and its bi-Hamiltonian structure, Applied Mathematics Letters, Vol.60(2016), 67-72 (pdf file)
  8. Y. Q. Yao, S. F. Shen and W. X. Ma, A soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi-Hamiltonian structure, Advances in Mathematical Physics, Vol.2016(2016), Article ID 3589704, 6 pages (pdf file)
  9. X. Lü and W. X. Ma, Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation, Nonlinear Dynamics, Vol.85(2016), 1217-1222 (pdf file)
  10. W. X. Ma and Yuan Zhou, Reduced D-Kaup-Newell soliton hierarchies from sl(2,R) and so(3,R), International Journal of Geometric Methods in Modern Physics, Vol.13(2016), 1650105 (16 pages) (pdf file)
  11. X. Lu, S. T. Chen and W. X. Ma, Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation, Nonlinear Dynamics, Vol.86(2016), 523-534 (pdf file)
  12. W. X. Ma, Y. Zhou and R. Dougherty, Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations, International Journal of Modern Physics B, Vol.30(2016), 1640018 (pdf file)
  13. J. Y. Yang and W. X. Ma, Lump solutions to the BKP equation by symbolic computation, International Journal of Modern Physics B, Vol.30(2016), 1640028 (pdf file)
  14. L. J. Zhang, C. M. Khalique and W. X. Ma, Classifying bilinear differential equations by linear superposition principle, International Journal of Modern Physics B, Vol.30(2016), 1640029 (pdf file)
  15. W. X. Ma, Lump-type solutions to the (3+1)-dimensional Jimbo-Miwa equation, International Journal of Nonlinear Sciences and Numerical Simulation, Vol.17(2016), 355-359 (pdf file)
  16. J. Y. Yang and W. X. Ma, Conservation laws of a perturbed Kaup-Newell equation, Modern Physics Letters B, Vol.30(2016), 1650381 (pdf file)

  1. Y. J. Zhang, W. X. Ma and Ö. Ünsal, A novel kind of AKNS integrable couplings and their Hamiltonian structures, Turkish Journal of Mathematics, Vol.41(2017), no. 6, 1467-1476 (pdf file)
  2. X. L. Yong, Y. J. Fan, Y. H. Huang, W. X. Ma, J. Tian, Darboux transformation and solitons for an integrable nonautonomous nonlinear integro-differential Schrödinger equation, Modern Physics Letters B, Vol.31(2017), no. 30, 1750276, 14 pp. (pdf file)
  3. Y. Zhou and W. X. Ma, Complexiton solutions to soliton equations by the Hirota method, Journal of Mathematical Physics, Vol.58(2017), no. 10, 101511, 8 pp. (pdf file)
  4. J. Y. Yang and W. X. Ma, Abundant interaction solutions of the KP equation, Nonlinear Dynamics, Vol.89(2017), no. 2, 1539-1544 (pdf file)
  5. W. X. Ma, Trigonal curves and algebro-geometric solutions to soliton hierarchies I, Proceedings of the Royal Society A, Vol.473(2017), no. 2203, 20170232, 20 pp. (pdf file)
  6. W. X. Ma, Trigonal curves and algebro-geometric solutions to soliton hierarchies II, Proceedings of the Royal Society A, Vol.473(2017), no. 2203, 20170233, 20 pp. (pdf file)
  7. Ö. Ünsal, W. X. Ma and Y. J. Zhang, Multiple-wave solutions to generalized bilinear equations in terms of hyperbolic and trigonometric solutions, International Journal of Nonlinear Sciences and Numerical Simulation, Vol.18(2017), no. 5, 395-401 (pdf file)
  8. L. N. Gao, Y. Y. Zi, Y. H. Yin, W. X. Ma and X. Lü, Bäcklund transformation, multiple wave solutions and lump solutions to a (3+1)-dimensional nonlinear evolution equation, Nonlinear Dynamics, Vol.89(2017), no. 3, 2233-2240 (pdf file)
  9. H. Q. Zhang, Y. Wang, W. X. Ma, Binary Darboux transformation for the coupled Sasa-Satsuma equations, Chaos, Vol.27(2017), no. 7, 073102, 7 pp. (pdf file)
  10. J. B. Zhang and W. X. Ma, Mixed lump-kink solutions to the BKP equation, Computers & Mathematics with Applications, Vol.74(2017), no. 3, 591-596 (pdf file)
  11. H. Q. Zhao and W. X. Ma, Mixed lump-kink solutions to the KP equation, Computers & Mathematics with Applications, Vol.74(2017), no. 6, 1399-1405 (pdf file)
  12. X. Gu, W. X. Ma and W. Y. Zhang, Two integrable Hamiltonian hierarchies in sl(2,R) and so(3,R) with three potentials, Journal of Mathematical Physics, Vol.58(2017), no. 5, 053512, 14 pp. (pdf file)
  13. H. Q. Zhang and W. X. Ma, Resonant multiple wave solutions for a (3+1)-dimensional nonlinear evolution equation by linear superposition principle, Computers & Mathematics with Applications, Vol.73(2017), no. 10, 2339-2343 (pdf file)
  14. Y. Zhou and W. X. Ma, Applications of linear superposition principle to resonant solitons and complexitons, Computers & Mathematics with Applications, Vol.73(2017), no. 8, 1697-1706 ( pdf file)
  15. H. Q. Zhang and W. X. Ma, Lump solutions to the (2+1)-dimensional Sawada-Kotera equation, Nonlinear Dynamics, Vol.87(2017), no. 4, 2305-2310 (pdf file)
  16. Y. J. Zhang, D. Zhao and W. X. Ma, A unified inverse scattering transformation for the local and nonlocal nonautonomous Gross-Pitaevskii equations, Journal of Mathematical Physics, Vol.58(2017), no. 1, 013505, 19 pp. (pdf file)
  17. J. Y. Yang and W. X. Ma, Abundant lump-type solutions of the Jimbo-Miwa equation in (3+1)-dimensions, Computers & Mathematics with Applications, Vol.73(2017), no. 2, 220-225 (pdf file)
  18. S. D. Zhu, S. F. Shen, Y. Y. Jin, C. X. Li and W. X. Ma, New soliton hierarchies associated with the real Lie algebra so(4,R), Mathematical Methods in the Applied Sciences, Vol.40(2017), no. 3, 680-698 (pdf file)
  19. J. Yu, W. X. Ma, J. W. Han and S. T. Chen, An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation, Communications in Nonlinear Science and Numerical Simulation, Vol.43(2017), 151-157 (pdf file)
  20. W. X. Ma and H. H. Dong, Modeling Riemann-Hilbert problems to get soliton solutions, Mathematical Modeling and Its Applications, Vol.6(2017), no. 3, 16-25 (pdf file)

  1. W. X. Ma, Conservation laws by symmetries and adjoint symmetries, Discrete and Continuous Dynamical Systems Series S, 11 (2018), no. 4, 707-721 (pdf file)
  2. W. X. Ma and Y. Zhou, Lump solutions to nonlinear partial differential equations via Hirota bilinear forms, Journal of Differential Equations, Vol.264(2018), no. 4, 2633-2659 (pdf file)
  3. M. McAnally and W. X. Ma, An integrable generalization of the D-Kaup-Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy, Applied Mathematics and Computation, Vol.323(2018), 220-227 (pdf file)
  4. W. X. Ma and Y. J. Zhang, Darboux transformations of integrable couplings and applications, Reviews in Mathematical Physics, Vol.30(2018), no. 2, 1850003, 26 pp. (pdf file)
  5. W. X. Ma, X. L. Yong and H. Q. Zhang, Diversity of interaction solutions to the (2+1)-dimensional Ito equation, Computers & Mathematics with Applications, Vol.75(2018), no. 1, 289-295 (pdf file)
  6. B. B. Hu, W. X. Ma, T. C. Xia and L. Zhang, Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures, Mathematical Methods in the Applied Sciences, Vol.41(2018), no. 4, 1565-1577 (pdf file)
  7. J. B. Zhang, C. Y. Gu and W. X. Ma, Generalized matrix exponential solutions to the AKNS hierarchy, Advances in Mathematical Physics, Vol.2018(2018), Art. ID 1375653, 9 pp. (pdf file)
  8. Y. M. Di, C. X. Li, S. F. Shen and W. X. Ma, Multicomponent perturbed AKNS soliton hierarchy associated with the Lie algebra sl(m+1,R), Acta Mathematica Scientia Series A, Vol.38(2018), no. 1, 24-33 (pdf file)
  9. S. Manukure, Y. Zhou and W. X. Ma, Lump solutions to a (2+1)-dimensional extended KP equation, Computers & Mathematics with Applications, Vol.75(2018), no. 7, 2414-2419 (pdf file)
  10. X. L. Yong, W. X. Ma, Y. H. Huang and Y. Liu, Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source, Computers & Mathematics with Applications, Vol.75 (2018), no. 9, 3414-3419 (pdf file)
  11. J. Yu, S. T. Chen, J. W. Han and W. X. Ma, N-fold Darboux transformation for integrable couplings of AKNS equations, Communications in Theoretical Physics, Vol.69 (2018), no. 4, 367-374 (pdf file)
  12. B. B. Hu, T. C. Xia and W. X. Ma, Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line, Applied Mathematics and Computation, Vol.332(2018), 148-159 (pdf file)
  13. W. X. Ma and X. Lü, Soliton hierarchies from matrix loop algebras, in: Geometric methods in physics XXXV, 191-200, Trends in Mathematics, Birkhäuser/Springer, Cham, 2018 (pdf file)
  14. S. T. Chen and W. X. Ma, Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation, Frontiers of Mathematics in China, Vol.13(2018), no. 3, 525-534 (pdf file)
  15. X. Gu and W. X. Ma, On a class of coupled Hamiltonian operators and their integrable hierarchies with two potentials, Mathematical Methods in the Applied Sciences, Vol.41(2018), no. 10, 3779-3789 (pdf file)
  16. S. Batwa and W. X. Ma, Lump solutions to a (2+1)-dimensional fifth-order KdV-like equation, Advances in Mathematical Physics, Vol.2018(2018), Art. ID 2062398, 6 pp. (pdf file)
  17. W. X. Ma, Riemann-Hilbert problems and N-soliton solutions for a coupled mKdV system, Journal of Geometry and Physics, Vol.132(2018), 45-54 (pdf file)
  18. J. Q. Song, L. Han, S. F. Shen and W. X. Ma, Study of travelling wave solutions for some special-type nonlinear evolution equations, Physica Scripta, Vol.93(2018), no. 7, 075202, 6 pp. (pdf file)
  19. J. Y. Yang, W. X. Ma and Z. Y. Qin, Lump and lump-soliton solutions to the (2+1)-dimensional Ito equation, Analysis and Mathematical Physics, Vol.8(2018), no. 3, 427-436 (pdf file)
  20. W. X. Ma, Abundant lumps and their interaction solutions of (3+1)-dimensional linear PDEs, Journal of Geometry and Physics, Vol.133(2018), 10-16 (pdf file)
  21. Y. H. Yin, W. X. Ma, J. G. Liu and X. Lü, Diversity of exact solutions to a (3+1)-dimensional nonlinear evolution equation and its reduction, Computers & Mathematics with Applications, Vol.76(2018), no. 6, 1225-1283. (pdf file)
  22. S. Batwa and W. X. Ma, A study of lump-type and interaction solutions to a (3+1)-dimensional Jimbo-Miwa-like equation, Computers & Mathematics with Applications, Vol.76(2018), no. 7, 1576-1582. (pdf file)
  23. S. T. Chen and W. X. Ma, Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation, Computers & Mathematics with Applications, Vol.76(2018), no. 7, 1680-1685 (pdf file)
  24. W. X. Ma, Riemann-Hilbert problems of a six-component fourth-order AKNS system and its soliton solutions, Computational and Applied Mathematics, Vol.37(2018), no. 5, 6359-6375 (pdf file)
  25. Y. L. Sun, W. X. Ma, J. P. Yu and C. M. Khalique, Exact solutions of the Rosenau Hyman equation, coupled KdV system and Burgers Huxley equation using modified transformed rational function method, Modern Physics Letters B, Vol.32(2018), no.24, 1850282, 12 pp. (pdf file)
  26. H. O. Roshid and W. X. Ma, Dynamics of mixed lump-solitary waves of an extended (2 +1)-dimensional shallow water wave model, Physics Letters A, Vol.382(2018), no.45, 3262-3268 (pdf file)
  27. X. Z. Hao, Y. P. Liu, X. Y. Tang, Z. B. Li and W. X. Ma, Nonlocal symmetries and the nth finite symmetry transformation or AKNS system, Modern Physics Letters B, Vol.32(2018), no.27, 1850332 (pdf file)
  28. S. F. Shen, C. X. Li, Y. Y. Jin and W. X. Ma, Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling, Journal of Mathematical Physics, Vol.59(2018), no.10, 103503, 11 pp. (pdf file)
  29. J. Y. Yang, W. X. Ma and Z. Y. Qin, Abundant mixed lump-soliton solutions to the BKP equation, East Asian Journal on Applied Mathematics, Vol.8(2018), no. 2, 224-232 (pdf file)
  30. C. Y. Qin, S. F. Tian, L. Zhou and W. X. Ma, Solitary wave and quasi-periodic wave solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation, Advances in Applied Mathematics and Mechanics, Vol.10(2018), no. 4, 948-977 (pdf file)
  31. B. B. Hu, T. C. Xia and W. X. Ma, The Riemann-Hilbert approach to initial-boundary value problems for integrable coherently coupled nonlinear Schrödinger systems on the half-line, East Asian Journal on Applied Mathematics, Vol.8(2018), no. 3, 531-548 (pdf file)
  32. H. Wang, Y. H. Wang, W. X. Ma and C. Temuer, Lump solutions of a new extended (2+1)-dimensional Boussinesq equation, Modern Physics Letters B, Vol.32(2018), no. 31, 1850376, 8 pp. (pdf file)
  33. J. B. Zhang, Y. Y. Gongye and W. X. Ma, A τ-symmetry algebra of the generalized derivative nonlinear Schrödinger soliton hierarchy with an arbitrary parameter, Symmetry, Vol.10(2018), no. 11, 535, 14 pp. (pdf file)
  34. J. P. Yu, W. X. Ma, Y. L. Sun and C. M. Khalique, N-fold Darboux transformation and conservation laws of the modified Volterra lattice, Modern Physics Letters B, Vol.32(2018), no. 33, 1850409, 10 pp. (pdf file)
  35. W. X. Ma, J. Li and C. M. Khalique, A study on lump solutions to a generalized Hirota-Satsuma-Ito equation in (2+1)-dimensions, Complexity, Vol.2018(2018), Article ID 9059858, 7 pp. (pdf file)
  36. R. Sadat, M. Kassem and W. X. Ma, Abundant lump-type solutions and interaction solutions for a nonlinear (3+1)-dimensional model, Advances in Mathematical Physics, Vol.2018(2018), Article ID 9178480, 8 pp. (pdf file)
  37. F. H. Lin, J. P. Wang, X. W. Zhou, W. X. Ma and X. Lü, Observation of interaction phenomena for two dimensionally reduced nonlinear models, Nonlinear Dynamics, Vol.94(2018), 2643-2654 (pdf file)

  1. C. H. He, Y. N. Tang, W. X. Ma and J. L. Ma, Interaction phenomena between a lump and other multi-solitons for the (2 + 1)-dimensional BLMP and Ito equations, Nonlinear Dynamics, Vol.95(2019), no.1, 29-42 (pdf file)
  2. J. P. Yu, F. D. Wang, W. X. Ma, Y. L. Sun and C. M. Khalique, Multiple-soliton solutions and lumps of a (3+1)-dimensional generalized KP equation, Nonlinear Dynamics, Vol.95(2019), no.2, 1687-1692 (pdf file)
  3. M. R. Ali, M. M. Mousa and W. X. Ma, Solution of nonlinear Volterra integral equations with weakly singular Kernel by using the HOBW method, Advances in Mathematical Physics, Vol.2019(2019), Article ID 1705651, 10 pp. (pdf file)
  4. M. R. Ali and W. X. Ma, New exact solutions of nonlinear (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation, Advances in Mathematical Physics, Vol.2019(2019), Article ID 9801638, 7 pp. (pdf file)
  5. S. T. Chen and W. X. Ma, Exact solutions to a generalized Bogoyavlensky-Konopelchenko equation via Maple symbolic computations, Complexity, Vol.2019(2019), Article ID 8787460, 6 pp. (pdf file)
  6. W. X. Ma, Lump and interaction solutions of linear PDEs in (3+1)-dimensions, East Asian Journal on Applied Mathematics, Vol.9(2019), no.1, 185-194 (pdf file)
  7. X. Z. Hao, Y. P. Liu, Z. B. Li and W. X. Ma, Painlevé analysis, soliton solutions and lump-type solutions of the (3+1)-dimensional generalized KP equation, Computers & Mathematics with Applications, Vol.77(2019), no.3, 724-730 (pdf file)
  8. J. B. Zhang and W. X. Ma, General matrix exponent solutions to the coupled derivative nonlinear Schrödinger equation on half-line, Modern Physics Letters B, Vol.33(2019), no. 5, 1950055, 10 pp. (pdf file)
  9. Y. Zhou, S. Manukure and W. X. Ma, Lump and lump-soliton solutions to the Hirota-Satsuma-to equation, Communications in Nonlinear Science and Numerical Simulation, Vol.68(2019), 56-62 (pdf file)
  10. L .Y. Ma, H. Q. Zhao, S. F. Shen and W. X. Ma, Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation, Communications in Nonlinear Science and Numerical Simulation, Vol.68(2019), 31-40 (pdf file)
  11. W. X. Ma, The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation, Journal of Mathematical Analysis and Applications, Vol.471(2019), nos.1-2, 796-811 (pdf file)
  12. W. X. Ma, Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions, Acta Mathematica Scientia, Vol.39B(2019), no.2, 509-523 (pdf file)
  13. W. X. Ma, Lump and interaction solutions to linear (4+1)-dimensional PDEs, Acta Mathematica Scientia, Vol.39B(2019), no.2, 498-508 (pdf file)
  14. W. X. Ma, Riemann-Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction, Mathematical Methods in the Applied Sciences, Vol.42(2019), no.4, 1099-1113 (pdf file)
  15. Y. H. Du, Y. S. Yun and W. X. Ma, Rational solutions to two Sawada-Kotera-like equations, Modern Physics Letters B, Vol.33(2019), no. 9, 1950108, 9 pp. (pdf file)
  16. B. Ren, W. X. Ma and J. Yu, Characteristics and interactions of solitary and lump waves of a (2 + 1)-dimensional coupled nonlinear partial differential equation, Nonlinear Dynamics, Vol.96(2019), 717-727 (pdf file)
  17. Z. Z. Kang, T. C. Xia and W. X. Ma, Abundant multiwave solutions to the (3+1)-dimensional Sharma-Tasso-Olver-like equation, Proceedings of the Romanian Academy Series A - Mathematics, Physics, Technical Sciences, Information Science, Vol.20(2019), no.2, 114-121 (pdf file)
  18. J. Yu, W. X. Ma and S. T. Chen, Lump solutions of a new generalized Kadomtsev-Petviashvili equation, Modern Physics Letters B, Vol.33(2019), no.10, 1950126, 9 pp. (pdf file)
  19. B. Ren, W. X. Ma and J. Yu, Rational solutions and their interaction solutions of the (2+1)-dimensional modified dispersive water wave equation, Computers & Mathematics with Applications, Vol.77(2019), no.8, 2086-2095 (pdf file)
  20. Y. L. Sun, W. X. Ma, J. P. Yu, B. Ren and C. M. Khalique, Lump and interaction solutions of nonlinear partial differential equations, Modern Physics Letters B, Vol.33(2019), no.11, 1950133, 14 pp. (pdf file)
  21. Z. Z. Kang, T. C. Xia and W. X. Ma, Riemann-Hilbert approach and N-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber, Advances in Difference Equations, Vol.2019(2019), 188, 14 pp. (pdf file)
  22. W. X. Ma, Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies, Nonlinear Analysis: Real World Applications, Vol.47(2019), 1-17 (pdf file)
  23. H. Q. Zhang, Z. J. Pei and W. X. Ma, Riemann-Hilbert approach for a coherently-coupled nonlinear Schrödinger system associated with a 4 x 4 matrix spectral problem, Chaos, Solitons & Fractals, Vol.123(2019), 429-434 (pdf file)
  24. B. Ren, W. X. Ma and J. Yu, Lump solutions for two mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko equations, Communications in Theoretical Physics, Vol.71(2019), no.6, 658-662 (pdf file)
  25. W. X. Ma, Interaction solutions to the Hirota-Satsuma-Ito equation in (2+1)-dimensions, Frontiers of Mathematics in China, Vol.14(2019), no.3, 619-629 (pdf file)
  26. K. Zhou, J. Q. Song, S. F. Shen and W. X. Ma, A combined short pulse-mKdV equation and its exact solutions by two-dimensional invariant subspaces, Reports on Mathematical Physics, Vol.83(2019), no.3, 339-347 (pdf file)
  27. J. Chen, J. P. Yu, W. X. Ma, Y. L. Sun and C. M. Khalique, Interaction solutions of the first BKP equation, Modern Physics Letters B, Vol.33(2019), no.17, 1950191, 10 pp. (pdf file)
  28. L. Cheng, Y. Zhang and W. X. Ma, Pfaffians of B-type Kadomtsev-Petviashvili equation and complexitons to a class of nonlinear partial differential equations in (3+1) dimensions, Pramana-Journal of Physics, Vol.93(2019), no.1, Article no. 4, 10 pp. (pdf file)
  29. W. X. Ma, Long-time asymptotics of a three-component coupled mKdV system, Mathematics, Vol.7(2019), no.7, 573, 38 pp. (pdf file)
  30. Z. Z. Kang, T. C. Xia and W. X. Ma, Abundant rational solutions and conservation laws of the generalized BKP-Boussinesq equation and its dimensionally reduced equations, Kuwait Journal of Science, Vol.46(2019), no.3, 1-10 (pdf file)
  31. R. Sadat, M. Kassem and W. X. Ma, Families of analytic solutions for (2+1) model in unbounded domain via optimal Lie vectors with integrating factors, Modern Physics Letters B, Vol.33(2019), no.20, 1950229, 10 pp. (pdf file)
  32. Y. L. Sun, W. X. Ma, J. P. Yu and C. M. Khalique, Dynamics of lump solitary wave of Kadomtsev-Petviashvili-Boussinesq-like equation, Computers and Mathematics with Applications, Vol.78(2019), no.3, 840-847 (pdf file)
  33. W. X. Ma, A search for lump solutions to a combined fourth-order nonlinear PDE in (2+1)-dimensions, Journal of Applied Analysis and Computation, Vol.9(2019), no.4, 1319-1332 (pdf file)
  34. T. Fang, H. Wang, Y. H. Wang and W. X. Ma, High-order lump-type solutions and their interaction solutions to a (3+1)-dimensional nonlinear evolution equation, Communications in Theoretical Physics, Vol.71(2019), no. 8, 927-934 (pdf file)
  35. B. Ren and W. X. Ma, Rational solutions of a (2+1)-dimensional Sharma-Tasso-Olver equation, Chinese Journal of Physics, Vol.60(2019), 153-157 (pdf file)
  36. W. X. Ma, Global behavior of a new rational nonlinear higher-order difference equation, Complexity, Vol.2019(2019), 2048941, 4 pp. (pdf file)
  37. M. McAnally and W. X. Ma, Bi-integrable couplings associated with so(3,R), Bulletin of the Malaysian Mathematical Sciences, Vol.42(2019), no.5, 1921-1935 (pdf file)
  38. X. P. Cheng, W. X. Ma and Y. Q. Yang, Lump-type solutions of a generalized Kadomtsev-Petviashvili equation in (3+1)-dimensions, Chinese Physics B, Vol.28(2019), no.10, 100203, 9 pp. (pdf file)
  39. Y. F. Hua, B. L. Guo, W. X. Ma and X. Lü, Interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation for nonlinear waves, Applied Mathematical Modelling, Vol.74(2019), 184-198 (pdf file)
  40. W. X. Ma, Global behavior of a higher-order nonlinear difference equation with many arbitrary multivariate functions, East Asian Journal on Applied Mathematics, Vol.9(2019), no.4, 643-650 (pdf file)
  41. W. X. Ma, A generating scheme for conservation laws of discrete zero curvature equations and its application, Computers and Mathematics with Applications, Vol.78(2019), no.10, 3422-3428 (pdf file)
  42. J. P. Yu, W. X. Ma, B. Ren, Y. L. Sun and C. M. Khalique, Diversity of interaction solutions of a shallow water wave equation, Complexity, Vol.2019(2019), Article ID 5874904, 6 pp. (pdf file)
  43. W. X. Ma, A Darboux transformation for the Volterra lattice equation, Analysis and Mathematical Physics, Vol.9(2019), no.4, 1711-1718, https://doi.org/10.1007/s13324-018-0267-z (pdf file)
  44. S. J. Chen, Y. H. Yin, W. X. Ma and X. Lü, Abundant exact solutions and interaction phenomena of the (2+1)-dimensional YTSF equation, Analysis and Mathematical Physics, Vol.9(2019), no.4, 2329-2344 (pdf file)
  45. M. R. Ali and W. X. Ma, Detection of new multi-wave solutions in an unbounded domain, Modern Physics Letters B, Vol.33(2019), no.34, 1950425, 10 pp. (pdf file)
  46. W. X. Ma, Lump and interaction solutions to linear PDEs in 2+1 dimensions via symbolic computation, Modern Physics Letters B, Vol.33(2019), no.36, 1950457, 10 pp. (pdf file)

  1. Y. Zhang, R. S. Ye and W. X. Ma, Binary Darboux transformation and soliton solutions for the coupled complex modified Korteweg-de Vries equations, Mathematical Methods in the Applied Sciences, Vol.43(2020), 613-627 (pdf file)
  2. W. X. Ma and L. Q. Zhang, Lump solutions with higher-order rational dispersion relations, Pramana Journal of Physics, Vol.94(2020), 43, 7 pp. (pdf file)
  3. C. K. Kuo and W. X. Ma, A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle, Nonlinear Analysis, Vol.190(2020), 111592, 9 pp. (pdf file)
  4. J. B. Zhang, Y. Y. Gongye and W. X. Ma, Conservation laws and τ-symmetry algebra of the Gerdjikov-Ivanov soliton hierarchy, Bulletin of the Malaysian Mathematical Sciences Society, Vol.43(2020), no.1, 111-123 (pdf file)
  5. M. R. Ali, A. R. Hadhoud and W. X. Ma, Evolutionary numerical approach for solving nonlinear singular periodic boundary value problems, Journal of Intelligent & Fuzzy Systems, Vol.39(2020), 7723-7731 (pdf file)
  6. X. L. Yong, X. Y. Li, Y. H. Huang, W. X. Ma and Y. Liu, Rational solutions and lump solutions to the (3 + 1)-dimensional Mel'nikov equation, Modern Physics Letters B, Vol.34(2020), no.3, 2050033, 14 pp. (pdf file)
  7. W. X. Ma, M. M. Mousa and M. R. Ali, Application of a new hybrid method for solving singular fractional Lane--Emden-type equations in astrophysics, Modern Physics Letters B, Vol.34(2020), no.3, 2050049, 15 pp. (pdf file)
  8. D. Su, W. X. Ma, X. L. Yong and Y. H. Huang, Mixed rational-exponential solutions to the Kadomtsev-Petviashvili-II equation with a self-consistent source, Advances in Mathematical Physics, Vol.2020(2020), Article ID 6127294, 5 pp. (pdf file)
  9. M. McAnally and W. X. Ma, Two integrable couplings of a generalized D-Kaup-Newell hierarchy and their Hamiltonian and bi-Hamiltonian structures, Nonlinear Analysis, Vol.191(2020), 111629, 13 pp. (pdf file)
  10. L. Q. Zhang, W. X. Ma and Y. H. Huang, Lump solutions of a nonlinear PDE combining with a new fourth-order term Dx2Dt2, Advances in Mathematical Physics, Vol.2020(2020), 3542320, 8 pp. (pdf file)
  11. M. M. Mousa and W. X. Ma, Efficient modeling of shallow water equations using method of lines and artificial viscosity, Modern Physics Letters B, Vol.34(2020), no.4, 2050051, 14 pp. (pdf file)
  12. H. D. Guo, T. C. Xia and W. X. Ma, Localized waves and interaction solutions to an extended (3+1)-dimensional Kadomtsev-Petviashvili equation, Modern Physics Letters B, Vol.34(2020), no.6, 2050076, 15 pp. (pdf file)
  13. L. Cheng, Y. Zhang, W. X. Ma and J. Y. Ge, Reduction and diversity of exact solutions for a class of generalized KP equations, Physica Scripta, Vol.95(2020), no.3, 035203, 10 pp. (pdf file)
  14. H. Y. Wu, J. X. Fei, Z. Y. Ma, J. C. Chen and W. X. Ma, Symmetry breaking soliton, breather, and lump solutions of a nonlocal Kadomtsev-Petviashvili system, Complexity, Vol.2020(2020), 6423205, 13 pp. (pdf file)
  15. L. T. Gai, W. X. Ma and M. C. Li, Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3+1)-dimensional generalized breaking soliton equation, Physics Letters A, Vol.384(2020), no.8, 126178, 12 pp. (pdf file)
  16. F. H. Qi, W. X. Ma, Q. X. Qu and P. Wang, Lump-type and interaction solutions to an extended (3+1)-dimensional Jimbo-Miwa equation, International Journal of Modern Physics B, Vol.34(2020), no.7, 2050043, 10 pp. (pdf file)
  17. Y. L. Sun, W. X. Ma and J. P. Yu, Lump solutions of the 2D Toda equation, Mathematical Methods in the Applied Sciences, Vol.43(2020), no.10, 6276-6282 (pdf file)
  18. W. X. Ma, Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations, Applied Mathematics Letters, Vol.102(2020), 106161, 7 pp. (pdf file)
  19. S. J. Chen, W. X. Ma and X. Lü, Bäcklund transformation, exact solutions and interaction behaviour of the (3 + 1)-dimensional Hirota-Satsuma-Ito-like equation, Communications in Nonlinear Science and Numerical Simulation, Vol.83(2020), 105135, 12 pp. (pdf file)
  20. L. T. Gai, W. X. Ma and M. C. Li, Lump-type solution and breather lump-kink interaction phenomena to a (3+1)-dimensional GBK equation based on trilinear form, Nonlinear Dynamics, Vol.100(2020), no.3, 2715-2727 (pdf file)
  21. L. Cheng, Y. Zhang, W. X. Ma and J. Y. Ge, Multi-lump or lump-type solutions to the generalized KP equations in (N+1)-dimensions, European Physical Journal Plus, Vol.135(2020), no.4, 379, 11 pp. (pdf file)
  22. W. X. Ma, An Ablowitz-Ladik integrable lattice hierarchy with multiple potentials, Acta Mathematica Scientia, Vol.40B(2020), no.3, 670-678 (pdf file)
  23. X. L. Yong, Y. N. Chen, Y. H. Huang and W. X. Ma, Lump solutions of the modified Kadomtsev-Petviashvili-I equation, East Asian Journal on Applied Mathematics, Vol.10(2020), no.2, 420-426 (pdf file)
  24. W. X. Ma, Global behavior of an arbitrary-order nonlinear difference equation with a nonnegative function, Mathematics, Vol.8(2020), no.5, 825, 7 pp. (pdf file)
  25. F. H. Qi, W. X. Ma, P. Wang and Q. X. Qu, Construction of lump-type and interaction solutions to an extended (3+1)-dimensional Jimbo-Miwa-like equation, Modern Physics Letters B, Vol.34(2020), no.13, 205130, 10 pp. (pdf file)
  26. J. G. Liu, W. H. Zhu, M. S. Osman and W. X. Ma, An explicit plethora of different classes of interactive lump solutions for an extension form of 3D-Jimbo-Miwa model, European Physical Journal Plus, Vol.135(2020), no.6, 412, 9 pp. (pdf file)
  27. K. Hosseini, W. X. Ma, R. Ansari, M. Mirzazadeh, R. Pouyanmehr and F. Samadani, Evolutionary behavior of rational wave solutions to the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, Physica Scripta, Vol.95(2020), no.6, 065208, 7 pp. (pdf file)
  28. M. R. Ali and W. X. Ma, New exact solutions of Bratu Gelfand model in two dimensions using Lie symmetry analysis, Chinese Journal of Physics, Vol.65(2020), 198-206 (pdf file)
  29. S. Batwa and W. X. Ma, Lump solutions to a generalized Hietarinta-type equation via symbolic computation, Frontiers of Mathematics in China, Vo.15(2020), no.3, 435-450 (pdf file)
  30. J. Y. Yang, W. X. Ma and and C. M. Khalique, Determining lump solutions for a combined soliton equation in (2+1)-dimensions, European Physical Journal Plus, Vol.135(2020), no.6, 494, 13 pp. (pdf file)
  31. F. D. Wang and W. X. Ma, Lump solutions to nonlinear PDEs involving Hirota derivative Dt2DxDy, Modern Physics Letters B, Vol.34(2020), no.18, 2050197, 9 pp. (pdf file)
  32. W. X. Ma, Long-time asymptotics of a three-component coupled nonlinear Schrödinger system, Journal of Geometry and Physics, Vol.153(2020), 103669, 28 pp. (pdf file)
  33. Y. S. Bai, J. T. Pei and W. X. Ma, λ-symmetry and μ-symmetry reductions and invariant solutions of four nonlinear differential equations, Mathematics, Vol.8(2020), no.7, 1138, 13 pp. (pdf file)
  34. K. Hosseini, M. Samavat, M. Mirzazadeh, W. X. Ma and Z. Hammouch, A new (3+1)-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions, Regular and Chaotic Dynamics, Vol.25(2020), no.4, 383-391 (pdf file)
  35. W. X. Ma, Y. H. Huang and F. D. Wang, Inverse scattering transforms and soliton solutions of nonlocal reverse-space nonlinear Schrödinger hierarchies, Studies in Applied Mathematics, Vo1.145(2020), no.3, 563-585 (pdf file)
  36. D. Baleanu, M. S. Osman, A. Zubair, N. Raza, O. A. Arqub and W. X. Ma, Soliton solutions of a nonlinear fractional Sasa-Satsuma equation in monomode optical fibers, Applied Mathematics and Information Sciences, Vo1.14(2020), no.3, 365-374 (pdf file)
  37. L. Q. Zhang, W. X. Ma and Y. H. Huang, Abundant solutions of an extended KPII equation combined with a new fourth-order term, Modern Physics Letters B, Vol.34(2020), no.21, 2050219, 11 pp. (pdf file)
  38. X. L. Yong, Y. N. Chen, Y. H. Huang and W. X. Ma, Lie symmetry analysis for a generalized Conde-Gordoa-Pickering equation via equivalence transformations, Chinese Journal of Physics, Vol.66(2020), 430-435 (pdf file)
  39. L. Q. Zhang, W. X. Ma and Y. H. Huang, Abundant solutions of an extended KPII equation combined with a new fourth-order term, Modern Physics Letters B, Vol.34(2020), no.23, 2092001 (pdf file)
  40. W. X. Ma, M. R. Ali and R. Sadat, Analytical solutions for nonlinear dispersive physical model, Complexity, Vol.2020(2020), 3714832, 8 pp. (pdf file)
  41. Q. X. Chen, W. X. Ma and Y. H. Huang, Study of lump solutions to an extended Calogero-Bogoyavlenskii-Schiff equation involving three fourth-order terms, Physica Scripta, Vol.95(2020), no.9, 095207, 7 pp. (pdf file)
  42. Y. F. Zhang, W. X. Ma and J. Y. Yang, A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation, Discrete and Continuous Dynamical Systems, Series S, Vol.13(2020), no.10, 2941-2948 (pdf file)
  43. X. R. Hu, R. Zhang, S. F. Shen and W. X. Ma, Construction of localized solutions to a generalized (3+1)-dimensional Burgers equation, Chinese Journal of Physics, Vol.67(2020), 161-169 (pdf file)
  44. J. R. Liu, Q. H. Duan and W. X. Ma, The evolution of a clogging sidewalk caused by a dockless bicycle -sharing system: A stochastic particles model, Mathematics and Computers in Simulation, Vol.177(2020), 516-526 (pdf file)
  45. W. X. Ma, Y. Zhang and Y. N. Tang, Symbolic computation of lump solutions to a combined equation involving three types of nonlinear terms, East Asian Journal on Applied Mathematics, Vol.10(2020), no.4, 732-745 (pdf file)
  46. W. X. Ma, Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations, Journal of Geometry and Physics, Vol.157(2020), 103845, 8 pp. (pdf file)
  47. W. X. Ma, N-soliton solutions and the Hirota conditions in (2+1)-dimensions, Optical and Quantum Electronics, Vol.52(2020), 511, 12 pp. (pdf file)
  48. M. S. Ullah, H. O. Roshid, W. X. Ma, M. Z. Ali and Z. Rahman, Interaction phenomena among lump, periodic and kink wave solutions to a (3 + 1)-dimensional Sharma-Tasso-Olver-like equation, Chinese Journal of Physics, Vol.68(2020), 699-711 (pdf file)

2021-present:

  1. W. X. Ma, Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations, Proceedings of the American Mathematical Society, Vo1.149(2021), no.1, 251-263 (pdf file)
  2. L. Cheng, Y. Zhang and W. X. Ma, Nonsingular complexiton solutions and resonant waves to an extended Jimbo-Miwa equation, Results in Physics, Vol.20(2021), 103711, 6 pp. (pdf file)
  3. W. X. Ma and S. Batwa, A binary Darboux transformation for multicomponent NLS equations and their reductions, Analysis and Mathematical Physics, Vol.11(2021), no.2, 44, 12 pp. (pdf file)
  4. Y. S. Bai, P. X. Su and W. X. Ma, N-fold Darboux transformation for the classical three-component nonlinear Schrödinger equations and its exact solutions, Mathematics, Vol.9(2021), no.7, 733, 13 pp. (pdf file)
  5. W. X. Ma, N-soliton solution of a combined pKP-BKP equation, Journal of Geometry and Physics, Vol.165(2021), 104191, 7 pp. (pdf file)
  6. W. X. Ma, Y. S. Bai and A. Adjiri, Nonlinearity-managed lump waves in a spatial symmetric HSI model, The European Physical Journal Plus, Vol.136(2021), 240, 8 pp. (pdf file)
  7. S. Kumar, V. Jadaun and W. X. Ma, Application of the Lie symmetry approach to an extended Jimbo-Miwa equation in (3+1) dimensions, European Physical Journal Plus, Vol.136(2021), no.8, 843 (pdf file)
  8. W. X. Ma, Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations, Journal of Mathematical Analysis and Applications, Vol.498(2021), no.2, 124980, 13 pp. (pdf file)
  9. Y. L. Sun, W. X. Ma and J. P. Yu, N-soliton solutions and dynamic property analysis of a generalized three-component Hirota-Satsuma coupled KdV equation, Applied Mathematics Letters, Vol.120(2021), 107224, 8 pp. (pdf file)
  10. W. X. Ma, Binary Darboux transformation for general matrix mKdV equations and reduced counterparts, Chaos, Solitons & Fractals, Vol.146(2021), 110824, 6 pp. (pdf file)
  11. W. X. Ma, A polynomial conjecture connected with rogue waves in the KdV equation, Partial Differential Equations in Applied Mathematics, Vol.3(2021), 100023, 3 pp. (pdf file)
  12. W. X. Ma, Linear superposition of Wronskian rational solutions to the KdV equation, Communications in Theoretical Physics, Vol.73(2021), 065001, 5 pp. (pdf file)
  13. W. X. Ma, X. L. Yong and X. Lü, Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations, Wave Motion, Vol.103(2021), 102719, 7 pp. (pdf file)
  14. L. Cheng, Y. Zhang, W. X. Ma and J. Y. Ge, Wronskian and lump wave solutions to an extended second KP equation, Mathematics and Computers in Simulation, Vol.187(2021), 720-731 (pdf file)
  15. W. X. Ma, S. Manukure, H. Wang and S. Batwa, Lump solutions to a (2 + 1)-dimensional fourth-order nonlinear PDE possessing a Hirota bilinear form, Modern Physics Letters B, Vol.35(2021), no.9, 2150160, 11 pp. (pdf file)
  16. L. M. Ling and W. X. Ma, Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime modified Korteweg-de Vries hierarchies, Symmetry, Vol.13(2021), no.3, 512, 17 pp. (pdf file)
  17. X. Lü, S. J. Chen, G. Z. Liu and W. X. Ma, Study on lump behavior for a new (3+1)-dimensional generalised Kadomtsev-Petviashvili equation, East Asian Journal on Applied Mathematics, Vol.11(2021), no.3, 594-603 (pdf file)
  18. L. Y. Ding, W. X. Ma, Q. X. Chen and Y. H. Huang, Lump solutions of a nonlinear PDE containing a third-order derivative of time, Applied Mathematics Letters, Vol.112(2021), 106809, 8 pp. (pdf file)
  19. S. Kumar, W. X. Ma and A. Kumar, Lie symmetries, optimal system and group-invariant solutions of the (3+1)-dimensional generalized KP equation, Chinese Journal of Physics, Vol.69(2021), 1-23 (pdf file)
  20. Z. Z. Kang, T. C. Xia and W. X. Ma, Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation, Analysis and Mathematical Physics, Vol.11(2021), no.1, 14, 13 pp. (pdf file)
  21. A. Adjiri, A. Ahmed and W. X. Ma, Riemann-Hilbert problems of a nonlocal reverse-time six-component AKNS system of fourth order and its exact soliton solutions, International Journal of Modern Physics B, Vol.35(2021), no. 3, 2150035, 29 pp. (pdf file)
  22. W. X. Ma, Y. H. Huang and F. D. Wang, Inverse scattering for nonlocal reverse-space multicomponent nonlinear Schrödinger equations, International Journal of Modern Physics B, Vol.35(2021), no. 4, 2150051, 20 pp. (pdf file)
  23. W. X. Ma, N-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation, Mathematics and Computers in Simulation, Vol.190(2021), 270-279 (pdf file)
  24. W. X. Ma, M. S. Osman, S. Arshed, N. Raza and H. M. Srivastava, Practical analytical approaches for finding novel optical solitons in the single-mode fibers, Chinese Journal of Physics, Vol.72(2021), 475-486 (pdf file)
  25. J. P. Yu, W. X. Ma, M. C. Khalique and Y. L. Sun, Localized interaction solution and its dynamics of the extended Hirota-Satsuma-Ito equation, Modern Physics Letters B, Vol.35(2021), no. 19, 2150313, 10 pp. (pdf file)
  26. M. M. Mousa, M. R. Ali and W. X. Ma, A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility, Journal of Taibah University for Science, Vol.15(2021), no. 1, 208-217 (pdf file)
  27. L. Y. Ding, W. X. Ma and Y. H. Huang, Lump solutions to a generalized Kadomtsev-Petviashvili-Ito equation, Modern Physics Letters B, Vol.35(2021), no. 26, 2150437, 10 pp. (pdf file)
  28. H. Y. Wu, J. X. Fei and W. X. Ma, Lump and rational solutions for weakly coupled generalized Kadomtsev-Petviashvili equation, Modern Physics Letters B, Vol.35(2021), no. 26, 2150449, 9 pp. (pdf file)
  29. L. T. Gai, W. X. Ma and B. Sudao, Abundant multilayer network model solutions and bright-dark solitons for a (3 + 1)-dimensional p-gBLMP equation, Nonlinear Dynamics, Vol.106(2021), 867-877 (pdf file)
  30. W. X. Ma, Integrable nonlocal PT-symmetric modified Korteweg-de Vries equations associated with so(3,R), Symmetry, Vol.13(2021), no. 11, 2205, 10 pp. (pdf file)
  31. H. C. Ma, H. F. Wu, W. X. Ma and A. P. Deng, Lump and interaction solutions of the (2+1)-dimensional bSK equation, East Asian Journal on Applied Mathematics, Vol.11(2021), 674-685 (pdf file)
  32. L. Q. Zhang and W. X. Ma, Nonlocal PT-symmetric integrable equations of fourth-order associated with so(3,R), Mathematics, Vol.9(2021), no. 17, 2130, 9 pp. (pdf file)
  33. R. S. Ye, Y. Zhang and W. X. Ma, Darboux transformation and dark vector soliton solutions for complex mKdV systems, Partial Differential Equations in Applied Mathematics, Vol.4(2021), 100161, 5 pp. (pdf file)
  34. W. X. Ma, Nonlocal PT-symmetric integrable equations and related Riemann-Hilbert problems, Partial Differential Equations in Applied Mathematics, Vol.4(2021), 100190, 5 pp. (pdf file)
  35. L. L. Zhang, J. P. Yu, W. X. Ma, C. M. Khalique and Y. L. Sun, Localized solutions of (5+1)-dimensional evolution equations, Nonlinear Dynamics, Vol.104(2021), 4317-4327 (pdf file)
  36. B. Günay, C. K. Kuo and W. X. Ma, An application of the exponential rational function method to exact solutions to the Drinfeld-Sokolov system, Results in Physics, Vol.96(2021), 104733, 8 pp. (pdf file)
  37. H. F. Ismael, W. X. Ma and H. Bulut, Dynamics of soliton and mixed lump-soliton waves to a generalized Bogoyavlensky-Konopelchenko equation, Physica Scripta, Vol.96(2021), 035225, 14 pp. (pdf file)

  1. W. X. Ma, Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies, Acta Mathematica Scientia, Vol.42B(2022), no.1, 127-140 (pdf file)
  2. W. X. Ma, Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies, Physica D, Vol.430(2022), 133078, 7 pp. (pdf file)
  3. M. R. Ali, W. X. Ma and R. Sadat, Lie symmetry analysis and wave propagation in variable-coefficient nonlinear physical phenomena, East Asian Journal on Applied Mathematics, Vol.12(2022), no.1, 201-212 (pdf file)
  4. L. Cheng and W. X. Ma, Framework of extended BKP equations possessing N-wave solutions in (2+1)-dimensions, Mathematical Methods in the Applied Sciences, Vol.45(2022), no.2, 749-760 (pdf file)
  5. W. X. Ma, Soliton solutions by means of Hirota bilinear forms, Partial Differential Equations in Applied Mathematics, Vol.5(2022), 100220, 5 pp. (pdf file)
  6. C. K. Kuo and W. X. Ma, An effective approach for constructing novel KP-like equations, Waves in Random and Complex Media, Vo1.32(2022), no.2, 629-640 (pdf file)
  7. W. X. Ma, Y. H. Huang and F. D. Wang, Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations, European Journal of Applied Mathematics, Vol.33(2022), no.6, 1062-1082 (pdf file)
  8. M. M. Mousa and W. X. Ma, A conservative numerical scheme for capturing interactions of optical solitons in a 2D coupled nonlinear Schrödinger system, Indian Journal of Physics, Vol.96(2022), no.4, 1193-1203 (pdf file)
  9. M. S. Osman, H. Almusawa, K. U. Tariq, S. Anwar, S. Kumar, M. Younis and W. X. Ma, On global behavior for complex soliton solutions of the perturbed nonlinear Schrödinger equation in nonlinear optical fibers, Journal of Ocean Engineering and Science, Vol.7(2022), no.5, 431-443 (pdf file)
  10. W. X. Ma, Integrable nonlocal nonlinear Schrödinger equations associated with so(3,R), Proceedings of the American Mathematical Society, Series B, Vol.9(2022), 1-11 (pdf file)
  11. W. X. Ma, N-soliton solutions and the Hirota conditions in (1+1)-dimensions, International Journal of Nonlinear Sciences and Numerical Simulation, Vol.23(2022), no.1, 123-133 (pdf file)
  12. F. D. Wang and W. X. Ma, A dbar-steepest descent method for oscillatory Riemann-Hilbert problems, Journal of Nonlinear Science, Vol.32(2022), no.1, 10, 46 pp. (pdf file)
  13. W. X. Ma, Riemann-Hilbert problems and soliton solutions of type (λ*, -λ*) reduced nonlocal integrable mKdV hierarchies, Mathematics, Vol.10(2022), 870, 21 pp. (pdf file)
  14. L. Q. Zhang and W. X. Ma, A scalar fourth-order integrable equation associated with so(3,R), European Physical Journal Plus, Vol.137(2022), no.3, 337, 5 pp. (pdf file)
  15. W. X. Ma, Type (-λ, -λ*) reduced nonlocal integrable mKdV equations and their soliton solutions, Applied Mathematics Letters, Vol.131(2022), 108074, 7 pp. (pdf file)
  16. W. X. Ma, Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions, Journal of Geometry and Physics, Vol.177(2022), 104522, 9 pp. (pdf file)
  17. W. X. Ma, Reduced nonlocal integrable mKdV equations of type (-λ, λ) and their exact soliton solutions, Communications in Theoretical Physics, Vol.74(2022), 065002, 6 pp. (pdf file)
  18. W. X. Ma, X. L. Yong, Z. Y. Qin, X. Gu and Y. Zhou, A generalized Liouville's formula, Applied Mathematics-A Journal of Chinese Universities, Vol.37(2022), no.3, 470-474 (pdf file)
  19. W. X. Ma, A novel kind of reduced integrable matrix mKdV equations and their binary Darboux transformations, Modern Physics Letters B, Vol.36(2022), no.20, 2250094, 13 pp. (pdf file)
  20. W. X. Ma, Reduced non-local integrable NLS hierarchies by pairs of local and non-local constraints, International Journal of Applied and Computational Mathematics, Vol.8(2022), no.4, 206, 17 pp. (pdf file)
  21. L. Cheng, W. X. Ma, Y. Zhang and J. Y. Ge, Integrability and lump solutions to an extended (2+1)-dimensional KdV equation, European Physical Journal Plus, Vol.137(2022), no.8, 902, 11 pp. (pdf file)
  22. W. X. Ma, Matrix integrable fourth-order nonlinear Schrödinger equations and their exact soliton solutions, Chinese Physics Letters, Vol.39(2022), no.10, 100201, 6 pp. (pdf file)
  23. L. L. Zhang, J. P. Yu, W. X. Ma, C. M. Khalique and Y. L. Sun, Kink solutions of two generalized fifth-order nonlinear evolution equations, Modern Physics Letters B, Vol.36(2022), no.3, 2150555, 15 pp. (pdf file)
  24. W. X. Ma, Integrable reductions of a soliton hierarchy associated with so(3,R), Chinese Journal of Physics, Vol.80(2022), 12-18 (pdf file)
  25. J. W. He and W. X. Ma, Symbolic computation of lump solutions to a combined (2+1)-dimensional nonlinear evolution equation, Modern Physics Letters B, Vol.36(2022), no.20, 2250087, 13 pp. (pdf file)
  26. C. X. Li, W. X. Ma and S. F. Shen, Lax operator algebras and applications to τ-symmetries for multilayer integrable couplings, Symmetry, Vol.14(2022), no.6, 1185, 20 pp. (pdf file)
  27. W. J. Zhu, S. F. Shen and W. X. Ma, A (2+1)-dimensional fractional-order epidemic model with pulse jumps for omicron COVID-19 transmission and its numerical simulation, Mathematics, Vol.10(2022), no.14, 2517, 14 pp. (pdf file)
  28. M. R. Ali, W. X. Ma and S. Sadat, Lie symmetry analysis and invariant solutions for (2 + 1) dimensional Bogoyavlensky-Konopelchenko equation with variable-coefficient in wave propagation, Journal of Ocean Engineering and Science, Vol.7(2022), 248-254 (pdf file)
  29. Saira and W. X. Ma, An approximation method to compute highly oscillatory singular Fredholm integro-differential equations, Mathematics, Vol.10(2022), no.19, 3628, 16 pp. (pdf file)
  30. Y. L. Sun, J. Chen, W. X. Ma, J. P. Yu and C. M. Khalique, Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili equation, Communications in Nonlinear Science and Numerical Simulation, Vol.107(2022), 106131, 11 pp. (pdf file)
  31. R. S. Ye, Y. Zhang and W. X. Ma, Bound states of dark solitons in N-coupled complex modified Korteweg-de Vries equations, Acta Applicandae Mathematicae, Vol.178(2022), no.1, 7, 10 pp. (pdf file)
  32. J. B. Zhang, Y. Y. Gongye and W. X. Ma, The relationship between the conservation laws and multi-Hamiltonian structures of the Kundu equation, Mathematical Methods in the Applied Sciences, Vol.45(2022), no.16, 9006-9020 (pdf file)
  33. H. Y. Wei, E. G. Fan and W. X. Ma, Completion of the Guo-hierarchy integrable coupling with self-consistent sources in a nonlinear wave system, East Asian Journal on Applied Mathematics, Vol.12(2022), no.3, 521-534 (pdf file)
  34. K. U. Tariq, A. Ahmed and W. X. Ma, On some soliton structures to the Schamel-Korteweg-de Vries model via two analytical approaches, Modern Physics Letters B, Vol.36(2022), no.26n27, 2250137, 29 pp. (pdf file)
  35. Y. H. Yin, X. Lü and W. X. Ma, Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation, Nonlinear Dynamics, Vol.108(2022), no.4, 4181-4194 (pdf file)
  36. C. Yue, W. X. Ma and K. Li, Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation, Fractals, Vol.30(2022), no.3, 2250071, 12 pp. (pdf file)
  37. N. Song, H. J. Shang, Y. F. Zhang and W. X. Ma, Higher-order localized wave solutions to a coupled fourth-order nonlinear Schrödinger equation, Modern Physics Letters B, Vol.36(2022), no.26&27, 2250146, 11 pp. (pdf file)
  1. W. X. Ma, A multi-component integrable hierarchy and its integrable reductions, Physics Letters A, Vol.457(2023), 128575, 6 pp. (pdf file)
  2. R. M. Zulqarnain, W. X. Ma, S. M. Eldin, K. B. Mehdi and W. A. Faridi, New explicit propagating solitary waves formation and sensitive visualization of the dynamical system, Fractal and Fractional, Vol.7(2023), no.1, 71, 23 pp. (pdf file)
  3. R. M. Zulqarnain, W. X. Ma, I. Siddique, S. H. Gurmani, F. Jarad and M. I. Ahamad, Extension of aggregation operators to site selection for solid waste management under neutrosophic hypersoft set, AIMS Mathematics, Vol.8(2023), no.2, 4168-4201 (pdf file)
  4. Y. Q. Liu, W. X. Zhang and W. X. Ma, Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation, Communications in Nonlinear Science and Numerical Simulation, Vol.118(2023), 107052, 24 pp. (pdf file)
  5. W. X. Ma, Matrix integrable fifth-order mKdV equations and their soliton solutions, Chinese Physics B, Vol.32(2023), no.2, 020201, 6 pp. (pdf file)
  6. W. X. Ma, E. Y. A. E. Seoud, M. R. Ali and R. Sadat, Dynamical behavior and wave speed perturbations in the (2+1) pKP equation, Qualitative Theory of Dynamical Systems, Vol.22(2023), no.1, 2, 16 pp. (pdf file)
  7. L Cheng, Y. Zhang and W. X. Ma, Wronskian N-soliton solutions to a generalized KdV equation in (2+1)-dimensions, Nonlinear Dynamics, Vol.111(2023), no.2, 1701-1714 (pdf file)
  8. W. X. Ma, Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions, Physica D, Vol.446(2023), 133672, 11 pp. (pdf file)
  9. Y. Zhou, X. J. Zhang, C. Zhang, J. J. Jia and W. X. Ma, New lump solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation, Applied Mathematics Letters, Vol.141(2023), 108598, 10 pp. (pdf file)
  10. N. Song, H. J. Shang, Y. F. Zhang and W. X. Ma, Localized wave solutions to a variable-coefficient coupled Hirota equation in inhomogeneous optical fiber, Nonlinear Dynamics, Vol.111(2023), no.6, 5709-5720 (pdf file)
  11. R. M. Zulqarnain, W. X. Ma, I. Siddique, A. Alburaikan, H. A. E. Khalifa and A. M. Alanzi, Prioritization of thermal energy storage techniques using TOPSIS method based on correlation coefficient for interval-valued intuitionistic fuzzy hypersoft set, Symmetry, Vol.15(2023), no.3, 615, 31 pp. (pdf file)
  12. N. Song, Y. F. Zhang, H. J. Shang and W. X. Ma, Dynamical analysis of higher-order localized waves for a threecomponent coupled nonlinear Schrödinger equation, Physica Scripta, Vol.98(2023), no.3, 035214, 10 pp. (pdf file)
  13. S. T. Chen and W. X. Ma, Higher-order matrix spectral problems and their integrable Hamiltonian hierarchies, Mathematics, Vol.11(2023), no.8, 1794, 9 pp. (pdf file)
  14. W. X. Ma, S. Batwa and S. Manukure, Dispersion-managed lump waves in a spatial symmetric KP model, East Asian Journal on Applied Mathematics, Vol.13(2023), no.2, 246-256 (pdf file)
  15. M. M. Liu, J. P. Yu, W. X. Ma, C. M. Khalique and Y. L. Sun, Dynamic analysis of lump solutions based on the dimensionally reduced generalized Hirota bilinear KP-Boussinesq equation, Modern Physics Letters B, Vol.37(2023), no.9, 2250203, 23 pp. (pdf file)
  16. Y. Zhou, Y. Wang, K. Zhou, S. F. Shen and W. X. Ma, Dynamical behaviors of an epidemic model for malware propagation in wireless sensor networks, Frontiers in Physics, Vol.11(2023), 1198410, 9 pp. (pdf file)
  17. W. X. Ma, Soliton hierarchies and soliton solutions of type (- λ*,- λ) reduced nonlocal nonlinear Schrödinger equations of arbitrary even order, Partial Differential Equations in Applied Mathematics, Vol.7(2023), 100515, 6 pp. (pdf file)
  18. S. Kumar, W. X. Ma, S. K. Dhiman and A. Chauhan, Lie group analysis with the optimal system, generalized invariant solutions, and an enormous variety of different wave profiles for the higher-dimensional modified dispersive water wave system of equations, European Physical Journal Plus, Vol.138(2023), no.5, 434, 13 pp. (pdf file)
  19. S. T. Chen and W. X. Ma, Nonlocal reduced integrable mKdV-type equations from a vector integrable hierarchy, Modern Physics Letters B, Vol.37(2023), no.15, 2350045, 9 pp. (pdf file)
  20. R. M. Zulqarnain, W. X. Ma, K. B. Mehdi, I. Siddique, A. M. Hassan and S. Askar, Physically significant solitary wave solutions to the space-time fractional Landau-Ginsburg-Higgs equation via three consistent methods, Frontiers in Physics, Vol.11(2023), 1205060, 12 pp. (pdf file)
  21. W. X. Ma, Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (- λ, λ), International Journal of Geometric Methods in Modern Physics, Vol.20(2023), no.6, 2350098, 16 pp. (pdf file)
  22. K. K. Ali, A. Yusuf and W. X. Ma, Dynamical rational solutions and their interaction phenomena for an extended nonlinear equation, Communications in Theoretical Physics, Vol.79(2023), no.3, 035001, 11 pp. (pdf file)
  23. S. El-Ganaini, W. X. Ma and H. Kumar, Modulational instability, optical solitons and travelling wave solutions to two nonlinear models in birefringent fibres with and without four-wave mixing terms, Pramana - Journal of Physics, Vol.97(2023), no.3, 119, 39 pp. (pdf file)
  24. J. R. Liu, W. X. Ma and Q. H. Duan, A nonlinear evolutionary equation modelling a dockless bicycle-sharing system, Journal of Ambient Intelligence and Humanized Computing, Vol.14(2023), no.8, 10431-10440 (pdf file)
  25. W. X. Ma, AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials, Applied Mathematics Letters, Vol.145(2023), 108775, 6 pp. (pdf file)
  26. W. X. Ma, Integrable nonlocal nonlinear Schrödinger hierarchies of type (- λ*, λ) and soliton solutions, Reports on Mathematical Physics, Vol.92(2023), no.1, 19-36 (pdf file)
  27. W. X. Ma, Four-component integrable hierarchies of Hamiltonian equations with (m+n+2)th-order Lax pairs, Theoretical and Mathematical Physics, Vol.216(2023), no.2, 1180-1188 (pdf file)
  28. J. R. Liu, W. X. Ma and Q. H. Duan, Correction to: A nonlinear evolutionary equation modelling a dockless bicycle-sharing system, Journal of Ambient Intelligence and Humanized Computing, Vol.14(2023), no.10, 14381 (pdf file)
  29. Q. X. Chen, W. X. Ma and Y. H. Huang, Lump solutions to a generalized nonlinear PDE with four fourth-order terms, International Journal of Nonlinear Sciences and Numerical Simulation, Vol.24(2023), no. 1, 393-402 (pdf file)
  30. W. X. Ma, Four-component integrable hierarchies and their Hamiltonian structures, Communications in Nonlinear Science and Numerical Simulation, Vol.126(2023), 107460, 7 pp. (pdf file)
  31. F. Badshah, K. U. Tariq, M. Aslam, W. X. Ma and S. M. Raza Kazmi, On the dynamics of the generalized unstable nonlinear Schrödinger equation in dispersive media, Optical and Quantum Electronics, Vol.55(2023), no. 12, 1084, 27 pp. (pdf file)
  32. L. Cheng and W. X. Ma, Similarity transformations and nonlocal reduced integrable nonlinear Schrödinger type equations, Mathematics, Vol.11(2023), no. 19, 4110, 8 pp. (pdf file)
  33. W. X. Ma, A Liouville integrable hierarchy with four potentials and its bi-Hamiltonian structure, Romanian Reports in Physics, Vol.75(2023), no. 3, 115, 10 pp. (pdf file)
  34. W. X. Ma, A six-component integrable hierarchy and its Hamiltonian formulation, Modern Physics Letters B, Vol.37(2023), no. 32, 2350143, 11 pp. (pdf file)
  35. S. Raut, W. X. Ma, R. Barman and S. Roy, A non-autonomous Gardner equation and its integrability: Solitons, positons and breathers, Chaos, Solitons and Fractals, Vol.176(2023), 114089, 14 pp. (pdf file)
  36. W. X. Ma, Reduced AKNS spectral problems and associated complex matrix integrable models, Acta Applicandae Mathematicae, Vol.187(2023), no.1, 17, 13 pp. (pdf file)
  37. W. A. Faridi, A. Yusuf, A. Akgül, F. M. O. Tawfiq, F. Tchier, R. Al-deiakeh, T. A. Sulaiman, A. M. Hassan, and W. X. Ma, The computation of Lie point symmetry generators, modulational instability, classification of conserved quantities, and explicit power series solutions of the coupled system, Results in Physics, Vol.54(2023), 107126, 11 pp. (pdf file)
  38. W. X. Ma, Novel Liouville integrable Hamiltonian models with six components and three signs, Chinese Journal of Physics, Vol.86(2023), 292-299 (pdf file)
  39. W. X. Ma, Lump waves in a spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions, Mathematics, Vol.11(2023), no.22, 4664, 9 pp. (pdf file)
  40. S. T. Chen and W. X. Ma, Integrable nonlocal PT-symmetric generalized so(3,R)-mKdV equations, Communications in Theoretical Physics, 75(2023), no.12, 125003, 6 pp. (pdf file)
  41. W. X. Ma, AKNS type reduced integrable hierarchies with Hamiltonian formulations, Romanian Journal of Physics, Vol.68(2023), no.9-10, 116, 10 pp. (pdf file)
  42. Y. S. Bai, Y. N. Liu and W. X. Ma, Lie symmetry analysis, exact solutions, and conservation laws to multi-component nonlinear Schrödinger equations, Nonlinear Dynamics, Vol.111(2023), no.19, 18439--18448 (pdf file)
  1. W. X. Ma, The commutative property of reciprocal transformations and dimensional deformations, Qualitative Theory of Dynamical Systems, Vol.23(2024), no.1, 2, 10 pp. (pdf file)
  2. N. Song, R. Liu, M. M. Guo and W. X. Ma, Localized waves solutions for the fifth-order coupled extended modified KdV equation, Wave Motion, Vol.124(2024), 103244, 7 pp. (pdf file)
  3. W. X. Ma, A higher-order spectral problem and associated matrix integrable hierarchies, International Journal of Applied and Computational Mathematics, Vol.10(2024), no.1, 28, 9 pp. (pdf file)
  4. R. M. Zulqarnain, H. Garg, W. X. Ma, I. Siddique, Optimal cloud service provider selection: An MADM framework on correlation-based TOPSIS with interval-valued q-rung orthopair fuzzy soft set, Engineering Applications of Artificial Intelligence, Vol.129(2024), 107570, 27 pp. (pdf file)
  5. R. M. Zulqarnain, W. X. Ma, I. Siddique, H. Ahmad and S. Askar, An intelligent MCGDM model in green suppliers selection using interactional aggregation operators for interval-valued Pythagorean fuzzy soft sets, Computer Modeling in Engineering & Sciences, Vol.139(2024), no.2, 1829-1862 (pdf file)
  6. Saira, W. X. Ma and G. D. Liu, A collocation numerical method for highly oscillatory algebraic singular Volterra integral equations, Fractal and Fractional, Vol.8(2024), no.2, 80, 18 pp. (pdf file)
  7. Md M. Rasid, M. M. Miah, A. H. Ganie, H. M. Alshehri, M. S. Osman and W. X. Ma, Further advanced investigation of the complex Hirota-dynamical model to extract soliton solutions, Modern Physics Letters B, Vol.38(2024), no.10, 2450074, 18 pp. (pdf file)
  8. L. Cheng, Y. Zhang, W. X. Ma and Y. W. Hu, Wronskian rational solutions to the generalized (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation in fluid dynamics, Physics of Fluids, Vol.36(2024), no.1, 017116, 7 pp. (pdf file)
  9. U. K. Mandal, B. Karmakar, A. Das and W. X. Ma, Integrability, bilinearization, exact traveling wave solutions, lump and lump-multi-kink solutions of a (3 + 1)-dimensional negative-order KdV–Calogero–Bogoyavlenskii–Schiff equation, Nonlinear Dynamics, Vol.112(2024), no.6, 4727-4748 (pdf file)
  10. W. X. Ma, Binary Darboux transformation of vector nonlocal reverse-time integrable NLS equations, Chaos, Solitons and Fractals, Vol.180(2024), 114539, 7 pp. (pdf file)
  11. W. A. Faridi, A. Yusuf, A. Akgül, F. M. O. Tawfiq, F. Tchier, R. Al-deiakeh, T. A. Sulaiman, A. M. Hassan and W. X. Ma, The computation of Lie point symmetry generators, modulational instability, classification of conserved quantities, and explicit power series solutions of the coupled system, Results in Physics, Vol.54(2024), 107126, 11 pp. (pdf file)
  12. A. Farooq, M. Ishfaq Khan and W. X. Ma, Exact solutions for the improved mKdv equation with conformable derivative by using the Jacobi elliptic function expansion method, Optical and Quantum Electronics, Vol.56(2024), no. 4, 542, 22 pp. (pdf file)
  13. W. X. Ma, Real reduced matrix mKdV integrable hierarchies under two local group reductions, East Asian Journal on Applied Mathematics, Vol.14(2024), no. 2, 281-292 (pdf file)
  14. W. X. Ma, A four-component hierarchy of combined integrable equations with bi-Hamiltonian formulations, Applied Mathematics Letters, Vol.153(2024), 109025, 6 pp. (pdf file)
  15. W. X. Ma, Type ( λ*, λ) reduced nonlocal integrable AKNS equations and their soliton solutions, Applied Numerical Mathematics, Vol.199(2024), 105-113 (pdf file)
  16. K. Zhou, Y. N. Hu, J. D. Peng, K. Z. Shi, S. F. Shen and W. X. Ma, Lump-soliton interaction solutions to differential-difference mKdV systems in (2+1)-dimensions, Results in Physics, Vol.59(2024), 107579, 6 pp. (pdf file)
  17. W. X. Ma, A generalized hierarchy of combined integrable bi-Hamiltonian equations from a specific fourth-order matrix spectral problem, Mathematics, Vol.12(2024), no.6, 927, 12 pp. (pdf file)
  18. U. K. Mandal, A. Das and W. X. Ma, Integrability, breather, rogue wave, lump, lump-multi-stripe, and lump-multi-soliton solutions of a (3+1)-dimensional nonlinear evolution equation, Physics of Fluids, Vol.36(2024), no.3, 037151, 19 pp. (pdf file)
  19. R. M. Zulqarnain, W. X. Ma, I. Siddique, H. Ahmad and S. Askar, A fair bed allocation during COVID-19 pandemic using TOPSIS technique based on correlation coefficient for interval-valued pythagorean fuzzy hypersoft set, Scientific Reports, Vol.14(2024), 7678, 32 pp. (pdf file)
  20. M. N. Hossain, M. M. Miah, A. H. Ganie, M. S. Osman and W. X. Ma, Discovering new abundant optical solutions for the resonant nonlinear Schrödinger equation using an analytical technique, Optical and Quantum Electronics, Vol.56(2024), no.5, 847, 18 pp. (pdf file)
  21. J. Y. Yang and W. X. Ma, Four-component Liouville integrable models and their bi-Hamiltonian formulations, Romanian Journal of Physics, Vol.69(2024), nos.1-2, 101, 10 pp. (pdf file)
  22. N. Song, M. M. Guo, R. Liu and W. X. Ma, Localized wave solutions to coupled variable-coefficient fourth-order nonlinear Schrödinger equations, Modern Physics Letters A, Vol.39(2024), no.9, 2450031, 11 pp. (pdf file)
  23. M. R. Shahzad, G. Abbas, H. Rehman and W. X. Ma, Analysis of Dyonic ModMax black hole through accretion disk, The European Physical Journal C, Vol.84(2024), no.5, 461, 15 pp. (pdf file)
  24. Asifa Ashraf, Allah Ditta, Değer Sofuoğlu, Wen-Xiu Ma, Faisal Javed, Farruh Atamurotov and Asif Mahmood, Quasi-periodic oscillations and particle motion around charged black hole surrounded by a cloud of strings and quintessence field in Rastall gravity, Physica Scripta, Vol.99(2024), no.6, 065011, 19 pp. (pdf file)
  25. W. X. Ma, General solution to a nonlocal linear differential equation of first-order, Qualitative Theory of Dynamical Systems, Vol.23(2024), no.4, 177, 11 pp. (pdf file)
  26. W. X. Ma, Solving a non-local linear differential equation model of the Newtonian-type, Pramana – Journal of Physics, Vol.98(2024), no.2, 68, 5 pp. (pdf file)
  27. Y. C. Wei, H. Q. Zhang and W. X. Ma, Multi-breathers and higher-order rogue waves on the periodic background in a fourth-order integrable nonlinear Schrödinger equation, Journal of Mathematical Analysis and Applications, Vol.537(2024), no.2, 128287, 27 pp. (pdf file)
  28. W. X. Ma, Y. H. Huang, F. D. Wang, Y. Zhang and L. Y. Ding, Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations, International Journal of Geometric Methods in Modern Physics, Vol.21(2024), no. 11, 2450182, 18 pp. (pdf file)
  29. W. X. Ma, Four-component combined integrable equations possessing bi-Hamiltonian formulations, Modern Physics Letters B, Vol.38(2024), no.33, 2450319, 12 pp. (pdf file)
  30. Asifa Ashraf, M. R. Shahzad and W. X. Ma, Possible dark energy stars in Rastall gravity, International Journal of Geometric Methods in Modern Physics, Vol.21(2024), no. 12, 2450200, 24 pp. (pdf file)
  31. A. Farooq, W. X. Ma and M. I. Khan, Exploring exact solitary wave solutions of Kuralay-II equation based on the truncated M-fractional derivative using the Jacobi elliptic function expansion method, Optical and Quantum Electronics, Vol.56(2024), no.7, 1105, 29 pp. (pdf file)
  32. M. R. Shahzad, R. H. Ali, G. Abbas and W. X. Ma, Thermal aspects and Joule–Thomson expansion of ModMax black hole, European Physical Journal Plus, Vol.139(2024), no.5, 453, 15 pp. (pdf file)
  33. W. X. Ma, A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem, Communications in Theoretical Physics, Vol.76(2024), no.7, 075001, 8 pp. (pdf file)
  34. N. Mann, S. Kumar and W. X. Ma, Dynamics of analytical solutions and soliton-like profiles for the nonlinear complex-coupled Higgs field equation, Partial Differential Equations in Applied Mathematics, Vol.10(2024), 100733, 17 pp. (pdf file)
  35. R. K. Alhefthi, K. U. Tariq, W. X. Ma and F. Mehboob, On lump and solitonic wave structures for the (3+1)-dimensional nonlinear evolution model, Physica Scripta, Vol.99(2024), no.5, 055223, 14 pp. (pdf file)
  36. Rana Muhammad Zulqarnain, Hong-Liang Dai, Wen-Xiu Ma, Imran Siddique, Sameh Askar and Hamza Naveed, Supplier selection in green supply chain management using correlation-based TOPSIS in a q-rung orthopair fuzzy soft environment, Heliyon, Vol.10(2024), no.11, e32145, 24 pp. (pdf file)
  37. Md Nur Hossain, M Mamun Miah, Faisal Z Duraihem, Sadique Rehman and Wen-Xiu Ma, Chaotic behavior, bifurcations, sensitivity analysis, and novel optical soliton solutions to the Hamiltonian amplitude equation in optical physics, Physica Scripta, Vol.99(2024), no.7, 075231, 17 pp. (pdf file)
  38. Xing Lü, Liang-Li Zhang and Wen-Xiu Ma, Oceanic shallow-water description with (2+1)-dimensional generalized variable-coefficient Hirota–Satsuma–Ito equation: Painlevé analysis, soliton solutions, and lump solutions, Physics of Fluids, Vol.36(2024), no.6, 064110, 9 pp. (pdf file)
  39. Asifa Ashraf, Faisal Javed, Wen-Xiu Ma and G. Mustafa, Structural properties of compact stars in extended teleparallel gravity, International Journal of Geometric Methods in Modern Physics, Vol.21(2024), no.9, 2450161, 19 pp. (pdf file)
  40. Wen-Xiu Ma, Integrable couplings and two-dimensional unital algebras, Axioms, Vol.13(2024), no. 7, 481, 8 pp. (pdf file)
  41. Wen-Xiu Ma, A combined Kaup-Newell type integrable Hamiltonian hierarchy with four potentials and a hereditary recursion operator, Discrete and Continuous Dynamical Systems - Series S, Vol.17(2024), https://doi.org/10.3934/dcdss.2024117 (pdf file)
  42. Di Gao, Wen-Xiu Ma and Xing Lü, Wronskian solution, Bäcklund transformation and Painlevé analysis to a (2+1)-dimensional Konopelchenko–Dubrovsky equation, Zeitschrift für Naturforschung A, Vol.79(2024), no. 9, 887-895 (pdf file)
  43. Yu-Shan Bai, Li-Na Zheng, Wen-Xiu Ma and Yin-Shan Yun, Hirota bilinear approach to multi-component nonlocal nonlinear Schrödinger equations, Mathematics, Vol.12(2024), no. 16, 2594, 10 pp. (pdf file)
  44. J. R. M. Borhan, M. Mamun Miah, Faisal Z. Duraihem, M. Ashik Iqbal and Wen-Xiu Ma, New optical soliton structures, bifurcation properties, chaotic phenomena, and sensitivity analysis of two nonlinear partial differential equations, International Journal of Theoretical Physics, Vol.63(2024), no. 8, 183, 25 pp. (pdf file)
  45. Md Nur Hossain1, K. El-Rashidy, Faisal Alsharif, Mohammad Kanan, Wen-Xiu Ma and M. Mamun Miah, New optical soliton solutions to the Biswas–Milovic equations with power law and parabolic law nonlinearity using the Sardar-subequation method, Optical and Quantum Electronics, Vol.56(2024), no. 7, 1163, 23 pp. (pdf file)
  46. Sachin Kumar, Setu Rani and Wen-Xiu Ma, Lie symmetries, modulation instability, conservation laws, and the dynamic waveform patterns of several invariant solutions to a (2+1)-dimensional Hirota bilinear equation, Discrete and Continuous Dynamical Systems - Series S, Vol.17(2024), doi:10.3934/dcdss.2024136 (pdf file)
  47. Wen-Xiu Ma, An integrated integrable hierarchy arising from a broadened Ablowitz–Kaup–Newell–Segur scenario, Axioms, Vol.13(2024), no. 8, 563, 11 pp. (pdf file)
  48. Wen-Xiu Ma, Commuting integrable models generated from a generalized AKNS eigenvalue problem, Discrete and Continuous Dynamical Systems - Series S, Vol.17(2024), https://doi.org/10.3934/dcdss.2024127 (pdf file)
  49. Wen-Xiu Ma, Integrable couplings stemming from three-dimensional unital algebras, Physics Letters A, Vol.523(2024), 129783, 5 pp. (pdf file)
  50. Savitha Muthanna and Wen-Xiu Ma, An eight component integrable Hamiltonian hierarchy from a reduced seventh-order matrix spectral problem, Journal of Applied Mathematics and Physics, Vol.12(2024), no. 6, 2102-2111 (pdf file)
  51. Wen-Xiu Ma, Nonlocal integrable equations in soliton theory, pp.251-266, in: Nonlinear and Modern Mathematical Physics, edited by Solomon Manukure and Wen-Xiu Ma (Springer, 2024) (pdf file)
  52. Syed Asif Ali Shah, Ejaz Hussain, Wen-Xiu Ma, Zhao Li, Adham E. Ragab, Tamer M. Khalaf, Qualitative analysis and new variety of solitons profiles for the (1+1)-dimensional modified equal width equation, Chaos, Solitons and Fractals, Vol.187(2024), 115353, 12 pp. (pdf file)
  53. Ni Song, Yating Liu, Zhuyan Wen and Wen-Xiu Ma, Dynamical analysis of solitons, breathers and periodic rogue waves for the variable-coefficient fourth-order nonlinear Schrödinger equation, Nonlinear Dynamics, Vol.112(2024), no.24, 22245–22256 (pdf file)
  54. Yu-Juan Zhang and Wen-Xiu Ma, Darboux transformations for bi-integrable couplings of the AKNS system, pp.367-385, in: Nonlinear and Modern Mathematical Physics, edited by Solomon Manukure and Wen-Xiu Ma (Springer, 2024) (pdf file)
  55. Wen-Xiu Ma, A combined derivative nonlinear Schrödinger soliton hierarchy, Reports on Mathematical Physics, Vol.93(2024), no. 3, 313-325, 13 pp. (pdf file)
  56. M. R. Shahzad, Asifa Ashraf, M. Awais Qarni, Emad E. Mahmoud and Wen-Xiu Ma, Finch–Skea quintessence models in non-conservative theory of gravity, Physics of the Dark Universe, Vol.46(2024), 101646, 11 pp. (pdf file)
  57. Niloufar Yazdanpanah, et al., Global challenges after a global challenge: Lessons learned from the COVID-19 pandemic, pp.1-31, in: The COVID-19 Aftermath, edited by Nima Rezaei (Springer, 2024) (pdf file)
  58. Zeeshan Amjad, Bushra Haider and Wen-Xiu Ma, Integrable discretization and multi-soliton solutions of negative order AKNS equation, Qualitative Theory of Dynamical Systems, Vol.23(2024), Issue 1 suppl., 280, 20 pp. (pdf file)
  59. Asifa Ashraf, Faisal Javed, Wen-Xiu Ma and Arfa Waseem, Effect of perfect fluid dark matter on Bardeen thin-shell wormholes, The European Physical Journal Plus, Vol.139(2024), no. 10, 867, 12 pp. (pdf file)
  60. Abdul Hamid Ganie, Mashael M. AlBaidani, Abdul-Majid Wazwaz, Wen-Xiu Ma, Umme Shamima, Mohammad Safi Ullah, Soliton dynamics and chaotic analysis of the Biswas–Arshed model, Optical and Quantum Electronics, Vol.56(2024), no. 8, 1379, 15 pp. (pdf file)
  61. Wen-Xiu Ma, Novel integrable Hamiltonian hierarchies with six potentials, Acta Mathematica Scientia, Vol.44B(2024), no. 6, 2498-2508 (pdf file)
  62. Wen-Xiu Ma, An extended AKNS eigenvalue problem and its affiliated integrable Hamiltonian hierarchies, Chaos, Solitons and Fractals, Vol.188(2024), 115580, 6 pp. (pdf file)
  63. Wen-Xiu Ma, Lump waves and their dynamics of a spatial symmetric generalized KP model, Romanian Reports in Physics, Vol.76(2024), no.3, 108, 11 pp. (pdf file)
  64. Wen-Xiu Ma, A combined integrable hierarchy with four potentials and its recursion operator and bi-Hamiltonian structure, Indian Journal of Physics, Vol.98(2024), 7 pp. https://doi.org/10.1007/s12648-024-03364-4 (pdf file)
  65. Wen-Xiu Ma, A combined generalized Kaup-Newell soliton hierarchy and its hereditary recursion operator and bi-Hamiltonian structure, Theoretical and Mathematical Physics, Vol.221(2024), no. 1, 1603-1614 (pdf file)
  66. Wen-Xiu Ma, Soliton solutions to Sasa–Satsuma-type modified Korteweg–De Vries equations by binary Darboux transformations, Mathematics, Vol.12(2024), no. 23, 3643, 15 pp. (pdf file)
  1. Mohamed R. Ali, Ali Mubaraki, R. Sadat and Wen-Xiu Ma, Investigation of a new similarity solution for the (2+1)-dimensional Schwarzian Korteweg-de Vries equation, Modern Physics Letters B, Vol.39(2025), 2550028, 13 pp. (pdf file)
  2. Peng-Fei Han, Wen-Xiu Ma, Ru-Suo Ye and Yi Zhang, Inverse scattering transform for the defocusing–defocusing coupled Hirota equations with non-zero boundary conditions: Multiple double-pole solutions, Physica D, Vol.471(2025), 134434, 29 pp. (pdf file)
  3. Asifa Ashraf, Wen-Xiu Maa, Faisal Javed, S. K. Maurya, Farruh Atamurotov, Abdelmalek Bouzenada and Magda Abd El-Rahman, Construction of wormhole under embedded approach through dark matter halos in F(T,TG) gravity, Physics of the Dark Universe, Vol.47(2025), 101777, 14 pp. (pdf file)
  4. Li Cheng, Yi Zhang and Wen-Xiu Ma, An extended (2+1)-dimensional modified Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff equation: Lax pair and Darboux transformation, Communications in Theoretical Physics, Vol.77(2025), no. 3, 035002, 9 pp. (pdf file)
  5. Junrong Liu and Wen-Xiu Ma, Evolutionary equations of a sharing-bicycle system and their solutions, Wave Motion, Vol.134(2025), 103498, 14 pp. (pdf file)
  6. Wen-Xiu Ma, A combined Kaup-Newell type integrable Hamiltonian hierarchy with four potentials and a hereditary recursion operator, Discrete & Continuous Dynamical Systems - Series S, Vol.18(2025), no. 4, 931-941 (pdf file)
  7. Sachin Kumar, Setu Rani and Wen-Xiu Ma, Lie symmetries, modulation instability, conservation laws, and the dynamic waveform patterns of several invariant solutions to a (2+1)-dimensional Hirota bilinear equation, Discrete & Continuous Dynamical Systems - Series S, Vol.18(2025), no. 4, 1054-1074 (pdf file)
  8. Wen-Xiu Ma, Commuting integrable models generated from a generalized AKNS eigenvalue problem, Discrete & Continuous Dynamical Systems - Series S, Vol.18(2025), no. 4, 995-1005 (pdf file)
  9. Shelly Arora, S. S. Dhaliwal, Wen-Xiu Ma and Atul Pasrija, Analysis of fractional order Schrödinger equation with singular and non-singular kernel derivatives via novel hybrid scheme, Journal of Applied Analysis & Computation, Vol.15(2025), no. 2, 1039-1067 (pdf file)
  10. Saira, Wen-Xiu Ma and Suliman Khan, An efficient numerical method for highly oscillatory logarithmic-algebraic singular integrals, AIMS Mathematics, Vol.10(2025), no. 3, 4899-4914 (pdf file)
  11. Noor Alam, Wen-Xiu Ma, Mohammad Safi Ullah, Aly R. Seadawy and Mahinur Akter, Exploration of soliton structures in the Hirota–Maccari system with stability analysis, Modern Physics Letters B, Vol.39(2025), no. 11, 2450481, 15 pp. (pdf file)
  12. Wen-Xiu Ma, A matrix integrable Hamiltonian hierarchy and its two integrable reductions, International Journal of Geometric Methods in Modern Physics, Vol.22(2025), no. 3, 2450293, 13 pp. (pdf file)
  13. Abdullah Khan, Aamir Farooq, A. A. Abid, Malik Sadam Hussain, Wen-Xiu Ma and Shaaban M. Shaaban, Exploring non-Maxwellian distributions effects on modulational instability and rogue wave triplets in ion-acoustic plasmas, Chaos, Solitons and Fractals, Vol.195(2025), 116262, 19 pp. (pdf file)
  14. Wen-Xiu Ma, A combined integrable hierarchy with four potentials and its recursion operator and bi-Hamiltonian structure, Indian Journal of Physics, Vol.99(2025), no. 3, 1063-1069 (pdf file)
  15. Wen-Xiu Ma, A soliton hierarchy derived from a fourth-order matrix spectral problem possessing four fields, Chaos, Solitons and Fractals, Vol.195(2025), 116309, 8 pp. (pdf file)
  16. Wen-Xiu Ma, Integrable matrix nonlinear Schrödinger equations with reduced Lax pairs of AKNS type, Applied Mathematics Letters, Vol.168(2025), 109574, 6 pp. (pdf file)
  17. Wen-Xiu Ma, Matrix mKdV integrable hierarchies via two identical group reductions, Mathematics, Vol.13(2025), no. 9, 1438, 10 pp. (pdf file)
  18. Jingyi Chu, Yaqing Liu and Wen-Xiu Ma, Integrability and multiple-rogue and multi-soliton wave solutions of the (3+1)-dimensional Hirota--Satsuma--Ito equation, Modern Physics Letters B, Vol.39(2025), no. 21, 2550060, 27 pp. (pdf file)
  19. Uttam Kumar Mandal, Sukanya Dutta, Wen-Xiu Ma and Amiya Das, Integrability aspects, Wronskian solution, Grammian solution, lump and lump-multi-kink solutions of an extended (3+1)-dimensional Bogoyavlensky-Konopelchenko equation, The European Physical Journal Plus, Vol.140(2025), no. 5, 389, 23 pp. (pdf file)
  20. Md. Dulal Hossain, Mahmoud N. Sherif, J. R. M. Borhan, K. El-Rashidy, M. Mamun Miah and Wen-Xiu Ma, Revealing abundant novel optical wave solutions of the two nonlinear models with dynamical behaviors: Bifurcation, chaotic, and stability analyses, Modern Physics Letters A, Vol.40(2025), 2550075, 22 pp. (pdf file)
  21. Yi Wang, Xing Lü and Wen-Xiu Ma, Integrability characteristics and exact solutions of an extended (3+1)-dimensional variable-coefficient shallow water wave model, Nonlinear Dynamics, Vol.113(2025), 17 pp. (pdf file)
  22. Peng-Fei Han, Kun Zhu and Wen-Xiu Ma, Novel superposition solutions for an extended (3+1)-dimensional generalized shallow water wave equation in fluid mechanics and plasma physics, Qualitative Theory of Dynamical Systems, Vol.24(2025), no. 3, 150, 22 pp. (pdf file)
  23. Peng-Fei Han, Kun Zhu, Feng Zhang, Wen-Xiu Ma and Yi Zhang, Inverse scattering transform for the fourth-order nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions, Chinese Journal of Physics, Vol.96(2025), 577-602 (pdf file)

Papers reviewed in Mathematical Reviews, American Mathematical Society

Papers stored in arXiv at Cornell University, USA.

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