Variants of the two-dimensional Boussinesq equation with compactons, solitons, and periodic solutions

被引：27

作者：

Wazwaz, AM ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 2-3期

关键词：

compactons; solitons; periodic solutions; Bossinesq equation; sine-cosine ansatz;

D O I：

10.1016/j.camwa.2004.06.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Variants of the two-dimensional Boussinesq equation with positive and negative exponents are studied. The sine-cosine ansatz is fruitfully used to carry out the analysis. Exact solutions of different physical structures: compactons, solitary patterns, solitons, and periodic solutions, are obtained. The quantitative change in the physical structure of the solutions is shown to depend mainly on the exponent of the wave function u(x, t) and on the ratio a/b of the derivatives of u(x, t). (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：295 / 301

页数：7

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