Travelling wave solutions in a class of generalized Korteweg-de Vries equation

被引：3
|
作者：
Shen, Jianwei [1 ]
Xu, Wei
机构：
[1] Xuchang Univ, Dept Math, Xuchang 461000, Henan, Peoples R China
[2] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2007年 / 34卷 / 04期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.chaos.2006.04.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a new generalization of KdV equation u(t) = u(x)u(1-2) + alpha[2u(xxx)u(p) + 4pu(p-1)u(x)u(xx) + p(p - 1)u(p-2)(u(x))(3)] and investigate its bifurcation of travelling wave solutions. From the above analysis, we know that there exists compacton and cusp waves in the system. We explain the reason that these non-smooth travelling wave solution arise by using the bifurcation theory. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1299 / 1306
页数：8
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