The Polygonal Method for Constructing Exact Solutions to Certain Nonlinear Differential Equations Describing Water Waves

被引：9

作者：

Demina, M. V. ^{[1
]}

Kudryashov, N. A. ^{[1
]}

Sinel'shchikov, D. I. ^{[1
]}

机构：

[1] State Univ, Moscow Engn Phys Inst, Moscow 115409, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 12期

关键词：

nonlinear differential equations of mathematical physics; wave equations; polygonal method for constructing exact solutions;

D O I：

10.1134/S0965542508120087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：2182 / 2193

页数：12

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