| 非线性Ur-KdV方程的显式平面行波解 |
| |
| 引用本文： | 徐昌智,何宝钢.非线性Ur-KdV方程的显式平面行波解[J].平顶山学院学报,2005,20(5):39-40. |
| |
| 作者姓名： | 徐昌智 何宝钢 |
| |
| 作者单位： | 金华教育学院,浙江,金华,321000 |
| |
| 摘 要： | 用辅助方程方法构建非线性Ur-KdV方程的精确解, 经行波法约化方程,给出了这个模型的一个变换,利用辅助方程的解,获得非线性Ur-KdV方程的丰富的显式平面行波解,包括peakon孤子解、周期波解、kink孤波解和其他精确解.
|
| 关 键 词： | 辅助方程方法 非线性Ur-KdV方程 行波解 |
| 文章编号： | 1673-1670（2005）05-0039-02 |
| 收稿时间： | 2005-01-26 |
| 修稿时间： | 2005年1月26日 |
The explicit plane travelling wave solutions to nonlinear Ur-KdV equation |
| |
| XU Chang-zhi,HE Bao-gang.The explicit plane travelling wave solutions to nonlinear Ur-KdV equation[J].Journal of Pingdingshan University,2005,20(5):39-40. |
| |
| Authors: | XU Chang-zhi HE Bao-gang |
| |
| Abstract: | The auxiliary equation method is applied to nonlinear Ur- KdV equations. The system is reduced by using the travelling wave method. A simple transformation relation is obtained by using leading order analysis and starting new form of nonlinear evolution equations. Abundant explicit and exact plane wave solutions, such as peakon solition solution, periodic wave solutions, kink solitary wave solutions and other exact traveling wave solutions, are obtained by using the exact solutions of auxiliary equations. |
| |
| Keywords: | auxiliary equation method nonlinear Ur- KdV equation travelling wave solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
