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| Symmetry Groups and Exact Solutions of New （4＋1）-Dimensional Fokas Equation | |
| 引用本文： | YANG Zheng-Zheng,YAN Zhen-Ya. Symmetry Groups and Exact Solutions of New （4＋1）-Dimensional Fokas Equation[J]. 理论物理通讯, 2009, 51(5): 876-880 |
| 作者姓名： | YANG Zheng-Zheng YAN Zhen-Ya |
| 作者单位： | [1]Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080, China [2]Graduate School of the Chinese Academy of Sciences, Beijing 100049, China |
| 基金项目： | The project supported by the National Natural Science Foundation of China under Grant No. 60821002, and the National Key Basic Research Program of China under Grant No. 2004CB318000 |
| 摘 要： | In this paper, we investigate symmetries of the new （4＋1）-dimensional Fokas equation, including point symmetries and the potential symmetries. We firstly employ the algorithmic procedure of computing the point symmetries. And then we transform the Fokas equation into a potential system and gain the potential symmetries of Fokas equation. Finally, we use the obtained point symmetries wave solutions and other solutions of the Fokas equation. and some constructive methods to get some doubly periodic In particular, some solitary wave solutions are also given. |
| 关 键 词： | 方程 精确解 对称群 对称性 算法程序 孤立波解 计算点 双周期 |
| 收稿时间： | 2008-10-15 |
Symmetry Groups and Exact Solutions of New (4+1)-Dimensional Fokas Equation |
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| YANG Zheng-Zheng YAN Zhen-Ya. Symmetry Groups and Exact Solutions of New (4+1)-Dimensional Fokas Equation[J]. Communications in Theoretical Physics, 2009, 51(5): 876-880 | |
| Authors: | YANG Zheng-Zheng YAN Zhen-Ya |
| Affiliation: | 1.Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080, China;2.Graduate School of the Chinese Academy of Sciences, Beijing 100049, China |
| Abstract: | In this paper, we investigate symmetries of the new (4+1)-dimensional Fokas equation, including point symmetries and the potential symmetries. We firstly employ the algorithmic procedure of computing the point symmetries. And then we transform the Fokas equation into a potential system and gain the potentialsymmetries of Fokas equation. Finally, we use the obtained point symmetries and some constructive methods to get some doubly periodic wave solutions and other solutions of the Fokas equation. In particular, some solitary wave solutions are also given. |
| Keywords: | Fokas equation point symmetry potential symmetry solitary wave solution reduced form |
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