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A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 卷号: 74, 期号: 13, 页码: 4300-4318
作者:  Zhang, Zhiyong;  Chen, Yufu
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
Approximate symmetry  Optimal system  Reduction  Approximate homotopy symmetry  
Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 卷号: 16, 期号: 7, 页码: 2709-2719
作者:  Zhang, Zhiyong;  Gao, Ben;  Chen, Yufu
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Approximate symmetry  Lie reduction  Approximate invariant solution  Optimal system  
Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2009, 卷号: 211, 期号: 2, 页码: 347-353
作者:  Mei, Jianqin;  Zhang, Hongqing
收藏  |  浏览/下载:85/0  |  提交时间:2018/07/30
Symmetry reduction  Lie algebra  Jimbo-Miwa equation  Soliton solution  
Symmetry reductions of two-dimensional variable coefficient Burgers equation 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 43, 期号: 5, 页码: 861-866
作者:  Zhang, XL;  Li, B
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
variable coefficient Burgers equation  symmetry reduction  
Conditional similarity reductions of the (2+1)-dimensional KdV equation via the extended Lie group approach 期刊论文
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 卷号: 73, 期号: 6, 页码: 1464-1475
作者:  Tang, XY;  Qian, XM;  Lin, J;  Lou, SY
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
(2+1)-dimensional KdV equation  conditional symmetry  conditional similarity reduction  the extended Lie group approach