| Periodic Wave Solutions and Their Limits for the Modified Kd V–KP Equations |
| |
| 基金项目： | Supported by National Natural Science Foundation of China (Grant Nos. 11361069 and 11171115) |
| |
| 摘 要： | In this paper, we use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the modified Kd V–KP equations. Some explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain solitary wave solutions, periodic wave solutions, kink wave solutions and unbounded solutions.
|
Periodic wave solutions and their limits for the modified KdV-KP equations |
| |
| Authors: | Ming Song Zheng Rong Liu Chen Xi Yang |
| |
| Institution: | 1. Department of Mathematics, Shaoxing University, Shaoxing 312000, P. R. China;
2. Department of Mathematics, Yuxi Normal University, Yuxi 653100, P. R. China;
3. Department of Mathematics, South China University of Technology, Guangzhou 510640, P. R. China;
4. Department of Mathematics, Yuxi Normal University, Yuxi 653100, P. R. China |
| |
| Abstract: | In this paper, we use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the modified KdV-KP equations. Some explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain solitary wave solutions, periodic wave solutions, kink wave solutions and unbounded solutions. |
| |
| Keywords: | Bifurcation method modified KdV-KP equation periodic wave solutions limits |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学学报(英文版)》下载免费的PDF全文 |
