Finite Symmetry Transformation Groups and Exact Solutions of Konopelchenko-Dubrovsky Equation |
| |
| Authors: | ZHANG Huan-Ping LI Biao CHEN Yong |
| |
| Affiliation: | 1.Nonlinear Science Center, Ningbo University, Ningbo 315211, China ;2.Institute of Theoretical Computing, East China Normal University, Shanghai 200062, China;3.Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences,;Beijing 100080, China |
| |
| Abstract: | Based on the general direct method developed by Lou et al. [J. Phys. A: Math. Gen. 38 (2005) L129], the symmetry group theorem is obtained,from that both the Lie point groups and the non-Lie symmetry groups of the Konopelchenko-Dubrovsky (KD) equation are obtained. From the theorem, some exact solutions of KD equation are derived from a simple travelling wave solution and a multi-soliton solution. |
| |
| Keywords: | symmetry group Konopelchenko-Dubrovsky equation solitons |
|
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
|
点击此处可从《理论物理通讯》下载全文 |
|
