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广义Drinfeld-Sokolov方程的行波解的分支
Bifurcations of Travelling Wave Solutions for the Generalized Drinfeld-Sokolov Equations
【摘要】 用Ansatz方法和动力系统理论研究了广义Drinfeld_Sokolov方程的行波解.在给定的两组参数条件下,得到了广义Drinfeld_Sokolov方程更多的孤立波解,扭子和反扭子波解及周期波解,并给出这些行波解精确的参数表示.
【Abstract】 Ansatz method and the theory of dynamical systems are used to the study of the traveling wave solutions for the generalized Drinfeld-Sokolov equations.Under two groups of the parametricconditions,more solitary wave solutions,kink and anti-kink wave solutions and periodic wave solutions were obtained.Exact explicit parametric representations of these travelling wave solutions are given.
【关键词】 孤立波;
扭子波;
周期波;
广义Drinfeld-Sokolov方程;
【Key words】 solitary wave; kink wave; periodic wave; generalized Drinfeld-Sokolov equation;
【Key words】 solitary wave; kink wave; periodic wave; generalized Drinfeld-Sokolov equation;
【基金】 云南省教育厅科学研究基金(重点)资助项目(5Z0071A)
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2006年11期
- 【分类号】O175.14
- 【下载频次】85