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New exact solution profiles of the nonlinear dispersion Drinfel'd-Sokolov (D(m,n)) system 期刊论文
CHAOS SOLITONS & FRACTALS, 2009, 卷号: 39, 期号: 2, 页码: 866-872
作者:  Xie, Fuding;  Yan, Zhenya
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30
Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant 期刊论文
CHAOS SOLITONS & FRACTALS, 2007, 卷号: 33, 期号: 3, 页码: 951-957
作者:  Yan, Zhenya
收藏  |  浏览/下载:76/0  |  提交时间:2018/07/30
(3+1)-dimensional KP equation  Wronskian determinant  exact solution  elastic collision  soliton solution  
Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations 期刊论文
PHYSICS LETTERS A, 2007, 卷号: 361, 期号: 3, 页码: 223-230
作者:  Yan, Zhenya
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
higher-dimensional generalized Boussinesq equation  similarity reductions  solitary wave-like solution  doubly-periodic wave-like solution  
New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems 期刊论文
PHYSICS LETTERS A, 2007, 卷号: 361, 期号: 3, 页码: 194-200
作者:  Yan, Zhenya
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
nonlinear dispersion  coupled nonlinear wave equations  compactons  solitary patterns  solitary wave solutions  
Comment on "Analytical integrability and physical solutions of d-KdV equation" [J. Math. Phys. 47, 032901 (2006)] 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2007, 卷号: 48, 期号: 1, 页码: 2
作者:  Yan, Zhenya
收藏  |  浏览/下载:5/0  |  提交时间:2018/07/30
Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 卷号: 64, 期号: 8, 页码: 1798-1811
作者:  Yan, ZY
收藏  |  浏览/下载:77/0  |  提交时间:2018/07/30
discrete soliton equations  discrete sine-Gordon expansion method  solitary wave solution  symbolic computation  
Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2005, 卷号: 168, 期号: 2, 页码: 1065-1078
作者:  Yan, ZY
收藏  |  浏览/下载:71/0  |  提交时间:2018/07/30
KdV equation  the decomposition method  numerical solution  doubly periodic solution  error analysis  
Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2005, 卷号: 166, 期号: 3, 页码: 571-583
作者:  Yan, ZY
收藏  |  浏览/下载:77/0  |  提交时间:2018/07/30
mKdV equation  the decomposition method  Jacobi elliptic function solution  error analysis  
The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations 期刊论文
PHYSICS LETTERS A, 2004, 卷号: 331, 期号: 3-4, 页码: 193-200
作者:  Yan, ZY
收藏  |  浏览/下载:77/0  |  提交时间:2018/07/30
Sine-Gordon equation  nonlinear wave equation  symbolic computation  doubly periodic solution  solitary wave solution  
An improved algebra method and its applications in nonlinear wave equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2004, 卷号: 21, 期号: 4, 页码: 1013-1021
作者:  Yan, ZY
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30