List of Publications

Before 1991 1991-1995 1996-2000 2001-2005 2006-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)
  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)
  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)
  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)
  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:

  13. 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)
  14. 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)
  15. 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)
  16. 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)

  17. 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)
  18. W. X. Ma, A new hierarchy of Liouville integrable generalized Hamiltonian equations and its reduction, Chinese Journal of Contemporary Mathematics, Vol.13, No.1(1992), 79--89 (MR 94g:58100)
  19. 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)
  20. 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
  21. 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)
  22. W. X. Ma, The algebraic structures of isospectral Lax operators and applications to integrable equations, Journal of Phyics A: Mathematical and General, Vol.25(1992), 5329--5343 (MR 94c:58088)
  23. W. X. Ma, Lax operator algebras associated with Lax representations of integrable systems, Chinese Science Bulletin, Vol.37, No.14(1992), 1229--1231
  24. 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)
  25. W. X. Ma, The product property of the generators of vector fields, Nature Journal, Vol.15, No.5 (1992), 391--392(in Chinese)
  26. W. X. Ma, Laurent polynomial spectral problem, nonisospectral flows and symmetry algebra, Proceedings of CSIAM Second Conference, Shanghai, 1992, 466--469
  27. 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)

  28. 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
  29. W. X. Ma, The unified structure of zero curvature representations of integrable hierarchies, Chinese Science Bulletin, Vol.38, No.24(1993), 2025--2031
  30. 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)
  31. 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)
  32. 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)
  33. 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)
  34. 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
  35. 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) (MR 95d:35154)
  36. W. X. Ma, Travelling wave solutions to a seventh order generalized KdV equation, Physics Letters A, Vol.180(1993), 221--224 (MR 94m:35268)
  37. 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
  38. 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)

  39. W. X. Ma, Exact solutions to the Tu system through Painlevè analysis, Journal of Fudan University (Natural Science), Vol.33, No.3(1994), 319--326 (MR 96c:35169)
  40. 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)
  41. 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)
  42. 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)
  43. 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)

  44. 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)
  45. 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)
  46. W. X. Ma, Symmetry constraint of MKdV equations by binary nonlinearization, Physica A, Vol.219(1995), 467--481 (MR 96f:35145)

    1996-2000:

  47. 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)
  48. 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)
  49. 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)
  50. 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
  51. 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)
  52. 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)
  53. 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)
  54. W. X. Ma and K. S. Li, Virasoro symmetry algebra of Dirac soliton hierarchy, Inverse Problems, Vol.12(1996), L25--L31 (MR 97j:58135)

  55. 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)
  56. W. X. Ma, Problems and Solutions, no.10601, The American Mathematical Monthly, Vol.104(1997), 566
  57. 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)
  58. W. X. Ma, A note on symmetries and generalized W_\infty algebra of the modified KP equation, Letters in Mathematical Physics, Vol.39(1997), 237--241 (MR 98h:58082)
  59. W. X. Ma, Binary nonlinearization for the Dirac systems, Chinese Annals of Mathematics, Vol.18B(1997), 79--88 (MR 98h:58081) (Latex file)
  60. 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)
  61. 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) (Latex file)
  62. W. X. Ma and D. T. Zhou, Explicit exact solutions to a generalized KdV equation, Acta Mathematica Scientia, Vol.17(Supp.)(1997), 168--174

  63. W. X. Ma, Extension of hereditary symmetry operators, Journal of Physics A: Mathematical and General, Vol.31(1998), 7279--7289 (MR 99f:58100)
  64. 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)
  65. W. X. Ma and M. Pavlov, Extending Hamiltonian operators to get bi-Hamiltonian coupled KdV systems, Physics Letters A, Vol.246(1998), 511--522
  66. 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)

  67. 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)
  68. 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
  69. W. X. Ma, Comment on "Generalized W_\infty symmetry algebra of the conditionally integrable nonlinear evolution equation", Journal of Mathematical Physics, Vol.40(1999), 3685--3690
  70. 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)
  71. 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
  72. 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)
  73. 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)
  74. 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)
  75. 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)
  76. 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)

  77. 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)
  78. 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)
  79. 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)
  80. 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)
  81. 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)
  82. 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)
  83. 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)
  84. 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)
  85. Y. B. Zeng and W. X. Ma, 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)
  86. Y. S. Li and W. X. Ma, Hamiltonian structures of binary higher-order constrained flows associated with two 3x3 spectral problems, Physics Letters A, Vol.272(2000), no.4, 245--256 (MR 2001m:37140)
  87. 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)
  88. 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)
  89. 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)
  90. 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)

    91. 2001-2005:

  91. 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)
  92. 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
  93. 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)
  94. 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)
  95. 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)
  96. 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)
  97. 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)
  98. 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)
  99. W. X. Ma, Binary Bargmann symmetry constraints of soliton equations, Nonlinear Analysis, Vol.47(2001), 5199--5211 (MR 2004d:37109)
  100. 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)

  101. 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)
  102. 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)
  103. 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)
  104. 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)
  105. 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)
  106. 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)
  107. 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)
  108. 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)
  109. 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)
  110. W. X. Ma, Complexiton solutions to the Korteweg-de Vries equation, Physics Letters A, Vol.301(2002), 35--44 (MR 2003h:35237)
  111. 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)
  112. 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)
  113. 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

  114. 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)
  115. 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)
  116. 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
  117. W. X. Ma, Enlarging spectral problems to construct integrable couplings of soliton equations, Physics Letters A, Vol.316(2003), 72--76 (MR 2004g:37102)
  118. 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)
  119. 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

  120. 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)
  121. 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)
  122. 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
  123. 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)
  124. 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)
  125. W. X. Ma and K. Maruno, Complexiton solutions of the Toda lattice equation, Physica A, Vol.343(2004), 219--237 (MR 2005h:37181)

  126. 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)
  127. W. X. Ma, Integrable couplings of vector AKNS soliton equations, Journal of Mathematical Physics, Vol.46(2005), 033507, 19 pp. (MR 2005k:37155)
  128. W. X. Ma, Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources, Chaos, Solitons & Fractals, Vol.26(2005), 1453--1458
  129. 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)
  130. W. X. Ma, Complexiton solutions to integrable equations, Nonlinear Analysis, Vol. 63(2005), e2461--e2471

    131. 2006-present:

  131. W. X. Ma, X. X. Xu and Y. Zhang, Semi-direct sums of Lie algebras and continuous integrable couplings, Physics Letters A, Vol.351(2006), 125--130 (MR 2006i:37149)
  132. W. X. Ma, X. X. Xu and Y. Zhang, Semidirect sums of Lie algebras and discrete integrable couplings, Journal of Mathematical Physics, Vol.47(2006), 053501, 16 pp. (MR 2007e:37047)
  133. 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)
  134. 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)
  135. 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)

  136. 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)
  137. W. X. Ma and M. Chen, Do symmetry constraints yield exact solutions? Chaos, Solitons & Fractals, Vol.32(2007), 1513--1517 MR2286313 (2007h:35005)
  138. 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)
  139. 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
  140. 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
  141. W. X. Ma, A Hamiltonian structure associated with a matrix spectral problem of arbitrary-order, Physics Letters A, Vol.367(2007), 473--477
  142. 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
  143. 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

  144. W. X. Ma, A multi-component Lax integrable hierarchy with Hamiltonian structure, Pacific Journal of Applied Mathematics, Vol.1(2008), 69--75 (pdf file)
  145. 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)
  146. 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)
  147. 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)

  148. W. X. Ma, Multi-component bi-Hamiltonian Dirac integrable equations, Chaos, Solitons & Fractals, Vol.39(2009), 282--287 (pdf file)
  149. W. X. Ma, C. X. Li and J. S. He, A second Wronskian formulation of the Boussinesq equation, Nonlinear Analysis, Vol.70(2009), 4245--4258 (pdf file)
  150. 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
  151. 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
  152. 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.21(2009), 1677--1688 (pdf file)
  153. W. X. Ma and L. Gao, Coupling integrable couplings, Modern Physics Letters B, Vol.23(2009), 1847--1860 (pdf file)
  154. 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)
  155. 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)
  156. 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)
  157. 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)

  158. 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)

Papers reviewed in Mathematical Reviews, American Mathematical Society

Papers stored in the e-print archive of nonlinear science at the Los Alamos National Laboratory, USA.

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