Bifurcations of travelling wave solutions in variant Boussinesq equations

被引：4

作者：

Yuan, YB ^{[1
]}

Pu, DM

Li, SM

机构：

[1] Univ Elect Sci & Technol, Sch Appl Math, Chengdu 610054, Peoples R China

[2] Univ Sci & Technol Kunming, Sch Sci, Kunming 650093, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2006年 / 27卷 / 06期

关键词：

Hamiltonian system; Boussinesq equations; bifurcation; solitary waves solutions; kink waves solutions;

D O I：

10.1007/s10483-006-0612-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The bifurcations of solitary waves and kink waves for variant Boussinesq equations axe studied by using the bifurcation theory of planar dynamical systems. The bifurcation sets and the numbers of solitary waves and kink waves for the variant Boussinesq equations axe presented. Several types explicit formulas of solitary waves solutions and kink waves solutions are obtained. In the end, several formulas of periodic wave solutions are presented.

引用

页码：811 / 822

页数：12

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