| Bifurcation of travelling wave solutions for （2＋1）-dimension nonlinear dispersive long wave equation |
| |
| 作者姓名： | RONG Ji-hong TANG Sheng-qiang |
| |
| 作者单位： | School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin 541004,China |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China （10871206） and Program for Excellent Talents in Guangxi Higher Education Institutions |
| |
| 摘 要： | In this paper,the bifurcation of solitary,kink,anti-kink,and periodic waves for （2＋1）-dimension nonlinear dispersive long wave equation is studied by using the bifurcation theory of planar dynamical systems.Bifurcation parameter sets are shown,and under various parameter conditions,all exact explicit formulas of solitary travelling wave solutions and kink travelling wave solutions and periodic travelling wave solutions are listed.
|
| 关 键 词： | 色散长波方程 非线性 分叉 周期行波解 旅游 孤立行波解 分岔理论 参数设置 |
Bifurcation of travelling wave solutions for (2+1)-dimension nonlinear dispersive long wave equation |
| |
| RONG,Ji-hong TANG,Sheng-qiang.Bifurcation of travelling wave solutions for (2+1)-dimension nonlinear dispersive long wave equation[J].Applied Mathematics A Journal of Chinese Universities,2009,24(3):291-297. |
| |
| Authors: | Ji-hong Rong Sheng-qiang Tang |
| |
| Institution: | School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin541004, China |
| |
| Abstract: | In this paper, the bifurcation of solitary, kink, anti-kink, and periodic waves for (2+1)-dimension nonlinear dispersive long
wave equation is studied by using the bifurcation theory of planar dynamical systems. Bifurcation parameter sets are shown,
and under various parameter conditions, all exact explicit formulas of solitary travelling wave solutions and kink travelling
wave solutions and periodic travelling wave solutions are listed. |
| |
| Keywords: | solitary wave kink and anti-kink wave periodic wave (2+1)-Dimension nonlinear dispersive long wave equation |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ |
