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| BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS | |
| 作者姓名： | 袁玉波 溥冬梅 李庶民 |
| 作者单位： | School of Applied Mathematics University of Electronic Science and Technology of China Chengdu 610054，P. R. China，School of Applied Mathematics University of Electronic Science and Technology of China，Chengdu 610054，P. R. China，School of Science，University of Science and Technology of Kunming，Kunming 650093，P. R. China，School of Science University of Science and Technology of Kunming，Kunming 650093，P. R. China |
| 基金项目： | 四川省应用基础科研项目 |
| 摘 要： | The bifurcations of solitary waves and kink waves for variant Boussinesq equations are 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 waves solutions and kink waves solutions are obtained. In the end, several formulas of periodic wave solutions are presented. |
| 关 键 词： | 二分叉 行波解 变量 非线性常微分方程 |
| 收稿时间： | 2003-10-20 |
| 修稿时间： | 2006-03-06 |
Bifurcations of travelling wave solutions in variant Boussinesq equations |
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| Yu-bo Yuan Doctor,Dong-mei Pu,Shu-min Li.BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2006,27(6):811-822. | |
| Authors: | Yu-bo Yuan Doctor Dong-mei Pu Shu-min Li |
| Institution: | 1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, P. R. China 2. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, P. R. China;School of Science, University of Science and Technology of Kunming, Kunming 650093, P. R. China 3. School of Science, University of Science and Technology of Kunming, Kunming 650093, P. R. China |
| Abstract: | The bifurcations of solitary waves and kink waves for variant Boussinesq equations are 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 waves solutions and kink waves solutions are obtained. In the end, several formulas of periodic wave solutions are presented. |
| Keywords: | Hamiltonian system Boussinesq equations bifurcation solitary waves solutions kink waves solutions |
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