广义Drinfeld-Sokolov方程的行波解的分支

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 云南省教育厅科学研究基金(重点)资助项目(5Z0071A)

Bifurcations of Travelling Wave Solutions for the Generalized Drinfeld-Sokolov Equations

Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, P. R. China

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．
- 孤立波 /
- 扭子波 /
- 周期波 /
- 广义Drinfeld-Sokolov方程
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 parametric-conditions,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.
- solitary wave /
- kink wave /
- periodic wave /
- generalized Drinfeld-Sokolov equation

[1]	Gurses M,Karasu A.Integrable KdV systems: recursion operators of degree four[J].Phys Lett A,1999,251(4):247—249. doi: 10.1016/S0375-9601(98)00910-4
[2]	HU Jian-lan.A new method of exact travelling wave solution for coupled nonlinear differential equations[J].Phys Lett A,2004,325(1):37—42. doi: 10.1016/j.physleta.2004.01.074
[3]	Chow S N,Hale J K.Method of Bifurcation Theory[M].New York:Springer-Verlag,1981.
[4]	Guckenheimer J,Holmes P J.Nonlinear Oscillations，Dynamical Systems and Bifurcations of Vector Fields[M].New York:Springer-Verlag,1983.
[5]	LI Ji-bin,LIU Zheng-rong.Smooth and non-smooth travelling waves in a nonlinearly dispersive equation[J].Appl Math Modelling,2000,25(1):41—56. doi: 10.1016/S0307-904X(00)00031-7
[6]	LI Ji-bin,LIU Zheng-rong.Travelling wave solutions for a class of nonlinear dispersive equations[J].Chinese Ann Math Ser B,2003,23(3):397—418.
[7]	LONG Yao,RUI Wei-guo,HE Bin.Travelling wave solutions for a higher order wave equations of KdV type(Ⅰ)[J].Chaos Solitons and Fractals,2005,23(2):469—475. doi: 10.1016/j.chaos.2004.04.027