Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method

被引：59

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 182卷 / 01期

关键词：

fifth-order KdV equation; SK equation; KK equation; ito equation; the tanh method; solitons;

D O I：

10.1016/j.amc.2006.02.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we use the tanh method for solving several forms of the fifth-order nonlinear KdV equation. The forms include the Lax, Sawada-Kotera (SK), Kaup-Kupershmidt (KK), and the Ito forms and other related special cases. Abundant solitons solutions are derived. Two necessary criteria are established to build up reliable strategies that govern the relation between the parameters of the equation. Previously known solutions are recovered and entirely new bell shaped solitons are determined. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：283 / 300

页数：18

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