| Symmetry Reductions and Group-Invariant Solutions of （2＋1）-Dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada Equation |
| |
| 引用本文： | 吕娜,梅建琴,张鸿庆.Symmetry Reductions and Group-Invariant Solutions of （2＋1）-Dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada Equation[J].理论物理通讯,2010(4):591-595. |
| |
| 作者姓名： | 吕娜 梅建琴 张鸿庆 |
| |
| 作者单位： | School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China |
| |
| 基金项目： | Supported by the Natural Key Basic Research Project of China under Grant No. 2004CB318000 and the ＇Math ＋ X＇ Key Project and Science Foundation of Dalian University of Technology under Grant No. SFDUT0808 |
| |
| 摘 要： | With the aid of symbolic computation, we present the symmetry transformations of the （2＋ 1）-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation with Lou＇s direct method that is based on Lax pairs. Moreover, with the symmetry transformations we obtain the Lie point symmetries of the CDGKS equation, and reduce the equation with the obtained symmetries. As a result, three independent reductions are presented and some group-invariant solutions of the equation are given.
|
| 关 键 词： | CDGKS方程 对称性约化 长臂猿 和集 符号计算 直接方法 Lax对 对称变换 |
| 本文献已被 维普 等数据库收录！ |
