Nonlinearization of the Lax pairs for discrete Ablowitz–Ladik hierarchy
暂无分享,去创建一个
Xianguo Geng | H. Dai | X. Geng | H. H. Dai
[1] Xianguo Geng,et al. Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable , 2002 .
[2] Yoshimasa Matsuno,et al. Bilinear Transformation Method , 1984 .
[3] Xianguo Geng,et al. Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions , 2001 .
[4] Geng Xian-Guo,et al. C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy , 1990 .
[5] Xianguo Geng,et al. Quasi-periodic solutions for some 2+1-dimensional discrete models , 2003 .
[6] Geng Xianguo. Involutive solutions for toda and langmuir lattices through nonlinearization of lax pairs , 1992 .
[7] O. Ragnisco,et al. On the relation of the stationary Toda equation and the symplectic maps , 1995 .
[8] T Gui-zhang,et al. A trace identity and its applications to the theory of discrete integrable systems , 1990 .
[9] Xianguo Geng,et al. Relation between the Kadometsev–Petviashvili equation and the confocal involutive system , 1999 .
[10] F. Kako,et al. Complete Integrability of General Nonlinear Differential-Difference Equations Solvable by the Inverse Method. II , 1979 .
[11] C Cao,et al. NONLINEARIZATION OF THE LAX SYSTEM FOR AKNS HIERARCHY , 1990 .
[12] M. Ablowitz,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .
[13] Z. Qiao. r-matrix and algebraic-geometric solution for integrable symplectic map , 1999 .
[14] Ruguang Zhou,et al. The finite-band solution of the Jaulent–Miodek equation , 1997 .
[15] Mark J. Ablowitz,et al. Nonlinear differential−difference equations , 1975 .
[16] E. Belokolos,et al. Algebro-geometric approach to nonlinear integrable equations , 1994 .
[17] V. Matveev,et al. Darboux Transformations and Solitons , 1992 .
[18] Xianguo Geng,et al. New Finite-Dimensional Completely Integrable Systems Associated with the Sine-Gordon Equation , 1999 .
[19] Xianguo Geng,et al. DARBOUX TRANSFORMATION OF THE DISCRETE ABLOWITZ–LADIK EIGENVALUE PROBLEM , 1989 .
[20] Geng Xianguo. Finite‐dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem , 1993 .
[21] X. Geng,et al. From the special 2 + 1 Toda lattice to the Kadomtsev-Petviashvili equation , 1999 .
[22] S. Novikov,et al. Theory of Solitons: The Inverse Scattering Method , 1984 .
[23] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .
[24] R. Schilling. A systematic approach to the soliton equations of a discrete eigenvalue problem , 1989 .
[25] A discrete Neumann system , 1992 .
[26] P. Santini,et al. Integrable symplectic maps , 1991 .
[27] X. Geng,et al. Classical Integrable Systems Generated Through Nonlinearization of Eigenvalue Problems , 1990 .
[28] Discrete Bargmann and Neumann systems and finite-dimensional integrable systems , 1994 .
[29] R. Hirota. Exact N-Soliton Solution of Nonlinear Lumped Self-Dual Network Equations , 1973 .