New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations

被引：53

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Francis Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2008年 / 13卷 / 02期

关键词：

KdV equation; mKdV equation; generalized KdV equation; solitons;

D O I：

10.1016/j.cnsns.2006.03.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we introduce new schemes, each combines two hyperbolic functions, to study the KdV, mKdV, and the generalized KdV equations. It is shown that this class of equations gives conventional solitons and periodic solutions. We also show that the proposed schemes develop sets of entirely new solitary wave solutions in addition to the traditional solutions. The analysis can be used to a wide class of nonlinear evolutions equations. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：331 / 339

页数：9

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