Bifurcation of travelling wave solutions in generalized phi-four equation

被引：6

作者：

Lou, Yijun ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期

关键词：

phi-four equation; bifurcation theory; solitary wave; periodic wave; cusp wave;

D O I：

10.1016/j.amc.2007.01.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the method of planar dynamical systems to a nonlinear variant of the phi-four equation, the existence of smooth and nonsmooth solitary wave (so called peakon and valleyon) and infinite many periodic wave solutions is shown. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of above solutions are given. The formulas to compute the travelling waves are also educed. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：517 / 525

页数：9

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