Recent Publications

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

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

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)
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)
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)
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)
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)

W. X. Ma, Complexiton solutions to integrable equations, Nonlinear Analysis, Vol. 63(2005), e2461--e2471
W. X. Ma and W. Strampp, Bilinear forms and Bäcklund transformations of the perturbation systems, Physics Letters A, Vol.341(2005), 441--449
W. X. Ma, Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources, Chaos, Solitons & Fractals, Vol.26(2005), 1453--1458
W. X. Ma, Integrable couplings of vector AKNS soliton equations, Journal of Mathematical Physics, Vol.46(2005), 033507, 19 pp.
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

W. X. Ma and K. Maruno, Complexiton solutions of the Toda lattice equation, Physica A, Vol.343(2004), 219--237
W. X. Ma and Y. You, Rational solutions of the Toda lattice equation in Casoratian form, Chaos, Solitons & Fractals, Vol.22(2004), 395--406
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
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
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
W. X. Ma, Wronskians, Generalized Wronskians and solutions to the Korteweg-de Vries equation, Chaos, Solitons & Fractals, Vol.19(2004), 163--170

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
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
W. X. Ma, Enlarging spectral problems to construct integrable couplings of soliton equations, Physics Letters A, Vol.316(2003), 72--76
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
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
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

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
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
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
W. X. Ma, Complexiton solutions to the Korteweg-de Vries equation, Physics Letters A, Vol.301(2002), 35--44
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
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
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 (ps file, pdf file)
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
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
W. X. Ma, A bi-Hamiltonian formulation for triangular systems by perturbations, Journal of Mathematical Physics, Vol.43(2002), no. 3, 1408--1421
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
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
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

A list of publications

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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