New kinds of solitons and periodic solutions to the generalized KdV equation

被引：3

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

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

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 23卷 / 02期

关键词：

generalized KdV equation; sine-cosine method; the tanh method; solitons; periodic solutions; NONLINEAR-WAVE EQUATIONS; SOLITARY PATTERNS; TANH METHOD; COMPACTONS; EVOLUTION;

D O I：

10.1002/num.20179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the sine-cosine method, the tanh method, and specific schemes that involve hyperbolic functions are used to study solitons and periodic solutions governed by the generalized KdV equation. New solutions are determined by using the hyperbolic functions schemes. The study introduces new approaches to handle nonlinear PDEs in the solitary wave theory. (c) 2006 Wiley Periodicals, Inc.

引用

页码：247 / 255

页数：9

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