The polygonal method for constructing exact solutions to certain nonlinear differential equations describing water waves

被引：0
|
作者：
M. V. Demina
N. A. Kudryashov
D. I. Sinel’shchikov
机构：
[1] Moscow Engineering Physics Institute (State University),
来源：
Computational Mathematics and Mathematical Physics | 2008年 / 48卷
关键词：
nonlinear differential equations of mathematical physics; wave equations; polygonal method for constructing exact solutions;
D O I：
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学科分类号：
摘要：
A method is proposed for constructing exact solutions to certain nonlinear differential equations of mathematical physics. Possible applications of this method are illustrated using equations arising in the description of water waves. Exact solutions to the generalized Gardner, Kawahara, and Benjamin-Bona-Mahony equations are constructed.
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