| Bifurcations of travelling wave solutions for two generalized Boussinesq systems |
| |
| 作者单位： | LI JiBin1，2 1 Department of Mathematics，Zhejiang Normal University，Jinhua 321004，China 2 Department of Mathematics，Kunming University of Science and Technology，Kunming 650093，China |
| |
| 摘 要： | Using the methods of dynamical systems for two generalized Boussinesq systems, the existence of all possible solitary wave solutions and many uncountably infinite periodic wave solutions is obtained. Exact explicit parametric representations of the travelling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.
|
Bifurcations of travelling wave solutions for two generalized Boussinesq systems |
| |
| Authors: | JiBin Li |
| |
| Institution: | (1) Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China;(2) Department of Mathematics, Kunming University of Science and Technology, Kunming, 650093, China |
| |
| Abstract: | Using the methods of dynamical systems for two generalized Boussinesq systems, the existence of all possible solitary wave solutions and many uncountably infinite periodic wave solutions is obtained. Exact explicit parametric representations of the travelling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined. |
| |
| Keywords: | nonlinear wave bifurcation solitary wave exact explicit solution generalized Boussi-nesq system |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
