Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities

被引：20

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2007年 / 12卷 / 06期

关键词：

Fifth-order KdV (fKdV) equation; The tanh method; The sine-cosine method; Solitons; Compactons;

D O I：

10.1016/j.cnsns.2005.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we use the sine-cosine and the tanh methods for analytic study for higher-order KdV-type equations with arbitrary power nonlinearities. Exact solutions of distinct physical structures: solitons, compactons, periodic and solitary patterns, are derived. The study shows the power of the two schemes and presents a comparison between these two methods. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：904 / 909

页数：6

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