Generalized Boussinesq type of equations with compactons, solitons and periodic solutions

被引：13
作者：
Wazwaz, AM [1 ]
机构：
[1] St Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 167卷 / 02期
关键词：
compactons; solitons; periodic solutions; Boussinesq equation; sine-cosine ansatz;
D O I：
10.1016/j.amc.2004.07.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Generalized Boussinesq type of equations with positive and negative exponents are examined. The analysis depends mainly on the sine-cosine ansatz. It is formally shown that these nonlinear models give rise to compactons, solitary patterns, solitons, and periodic solutions depending on the exponents and the coefficients of the derivatives of u(x, t). The presented scheme reveals quite a number of remarkable features that will be helpful for identical problems. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：1162 / 1178
页数：17
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