| 一类(3+1)维非线性Jaulent-Miodek分层发展方程的行波解分岔 |
| |
| 引用本文： | 何斌,赵立通,李静,田征. 一类(3+1)维非线性Jaulent-Miodek分层发展方程的行波解分岔[J]. 上海师范大学学报(自然科学版), 2018, 47(3): 305-314 |
| |
| 作者姓名： | 何斌 赵立通 李静 田征 |
| |
| 作者单位： | 北京工业大学 应用数理学院, 北京 100124,北京工业大学 应用数理学院, 北京 100124,北京工业大学 应用数理学院, 北京 100124,北京工业大学 应用数理学院, 北京 100124 |
| |
| 基金项目： | The Natural Science Foundation of China (11772007, 11372014, 11072007, 11290152, 11072008); Beijing Natural Science Foundation (1172002, 1122001) |
| |
| 摘 要： | 应用动力系统分岔理论研究一类（3+1）维非线性Jaulent-Miodek分层发展方程的行波解分岔，根据分岔参数的不同值得到非线性变换系统的相图.通过计算得到（3+1）维非线性Jaulent-Miodek分层发展方程的精确行波解，包括周期波解、孤立波解、扭波解及反扭波解.
|
| 关 键 词： | (3+1)维非线性发展方程 分岔 行波解 精确解 |
| 收稿时间： | 2017-09-01 |
Bifurcations of traveling wave solutions of a (3+1)-dimensional nonlinear model generated by the Jaulent-Miodek hierarchy |
| |
| He Bin,Zhao Litong,Li Jing and Tian Zheng. Bifurcations of traveling wave solutions of a (3+1)-dimensional nonlinear model generated by the Jaulent-Miodek hierarchy[J]. Journal of Shanghai Normal University(Natural Sciences), 2018, 47(3): 305-314 |
| |
| Authors: | He Bin Zhao Litong Li Jing Tian Zheng |
| |
| Affiliation: | College of Applied Sciences, Beijing University of Technology, Beijing 100124, China,College of Applied Sciences, Beijing University of Technology, Beijing 100124, China,College of Applied Sciences, Beijing University of Technology, Beijing 100124, China and College of Applied Sciences, Beijing University of Technology, Beijing 100124, China |
| |
| Abstract: | We study bifurcation of traveling wave solutions of a class of (3+1)-dimensional nonlinear evolution equations generated by the Jaulent-Miodek hierarchy. We obtain phase portraits of the nonlinear transformation system according to the different bifurcation regions of parameters. Different kinds of traveling wave solutions, such as the periodic wave solutions, solitary wave solutions, kink wave solutions and anti-kink wave solutions are found to exist under certain parameter conditions, and the exact solutions of traveling waves are obtained. |
| |
| Keywords: | (3+1)-dimensional nonlinear evolution equation bifurcation traveling wave solution exact solution |
|
| 点击此处可从《上海师范大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《上海师范大学学报(自然科学版)》下载免费的PDF全文 |
|
