| NEW B$\ddot{A}$CKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT KdV EQUATION |
| |
| 作者姓名： | 闫振亚 张鸿庆 |
| |
| 作者单位： | Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, China |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.19572022). |
| |
| 摘 要： | In this paper, with the aid of Lax pairs, a new B?cklund transformation for the variable coefficient KdV equation is found, Based on the B?cklund transformation, only if integration is needed, a series of exact solutions can be obtained. This method is important for finding more new and physical-signficant solutions.
|
| 收稿时间： | 1999-04-08 |
NEW B?CKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT KdV EQUATION |
| |
| Affiliation: | Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, China |
| |
| Abstract: | In this paper, with the aid of Lax pairs, a new B$\ddot{\rm a}$cklund transformation for the variable coefficient KdV equation is found, Based on the B$\ddot{\rm a}$cklund transformation, only if integration is needed, a series of exact solutions can be obtained. This method is important for finding more new and physical-signficant solutions. |
| |
| Keywords: | |
|
| 点击此处可从《物理学报(海外版)》浏览原始摘要信息 |
|
点击此处可从《物理学报(海外版)》下载免费的PDF全文 |
