一类变形的Boussinesq方程组的行波解分支  

Bifurcations of Travelling Wave Solutions in Variant Boussinesq Equations

作　　者：袁玉波[1] 溥冬梅[1] 李庶民[2] 

机构地区：[1]电子科技大学应用数学学院,成都610054 [2]昆明理工大学理学院,昆明650093

出　　处：《应用数学和力学》2006年第6期716-726,共11页Applied Mathematics and Mechanics

基　　金：四川省应用基础研究计划资助项目(05JY029-068-2)

摘　　要：在Boussinesq方程组求解方面,用平面动力系统的分支理论研究了一类变形的Boussinesq方程组的行波解分支.得到了不同参数条件下的分支集、相图及所有孤立波和扭波的精确公式.The bifurcations of solitary waves and kink waves for variant Boussinesq equations were 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 are presented. Several types explicit formulas of solitary wave solutions and kink wave solutions are obtained. In the end, several formulas of periodic wave solutions are presented.

关 键 词：HAMILTON系统 BOUSSINESQ方程组 分支 孤立行波 扭波 

分 类 号：O175.14[理学—数学]