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Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2011, 卷号: 217, 期号: 22, 页码: 9474-9479
作者:  Yan, Zhenya
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
Vc-K(m, n) equation  Nnonlinear dispersion  Symbolic analysis  Compacton-like solutions  Solitary pattern-like solutions  Conservation laws  
变系数KdV-Burgers-Kuramoto方程的群论分析——容许变换及对称群 期刊论文
系统科学与数学, 2009, 卷号: 000, 期号: 009, 页码: 1278
作者:  闫振亚;  谢福鼎
收藏  |  浏览/下载:106/0  |  提交时间:2020/01/10
The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2008, 卷号: 203, 期号: 1, 页码: 106-112
作者:  Yan, Zhenya
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
modified Korteweg-de Vries ( mKdV)  equation with variable coefficients  exact solutions  
New binary travelling-wave periodic solutions for the modified KdV equation 期刊论文
PHYSICS LETTERS A, 2008, 卷号: 372, 期号: 7, 页码: 969-977
作者:  Yan, Zhenya
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
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
The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2006, 卷号: 29, 期号: 4, 页码: 948-964
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 177, 期号: 1, 页码: 85-91
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载:65/0  |  提交时间:2018/07/30
New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 卷号: 64, 期号: 5, 页码: 901-909
作者:  Yan, ZY
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
nonlinear wave equation  comptacton-like solution  solitary patterns-like solution  symbolic computation  
The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles 期刊论文
PHYSICS LETTERS A, 2005, 卷号: 345, 期号: 4-6, 页码: 362-377
作者:  Yan, ZY
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
integrable coupling  Backlund transformatiom  Painleve analysis  non-traveling 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:73/0  |  提交时间:2018/07/30
KdV equation  the decomposition method  numerical solution  doubly periodic solution  error analysis