Symmetry Groups and Exact Solutions of New (4+1)-Dimensional Fokas Equation
Symmetry Groups and Exact Solutions of New (4+1)-Dimensional Fokas Equation
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DOI：
10.1088/0253-6102/51/5/24
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发表时间：
2009-05
影响因子：
3.1
通讯作者：
Zhengkun Yang;Zhenya Yan
中科院分区：
文献类型：
--
作者：
Zhengkun Yang;Zhenya Yan
本文研究了新的（4+1）维Fokas方程的对称性，包括点对称性和势对称性。我们首先采用计算点对称性的算法过程。然后将Fokas方程转化为势系统，得到了Fokas方程的势对称性。最后，利用所得到的点对称性和一些构造性的方法，得到了Fokas方程的一些双周期波解和其它解。特别地，还给出了一些孤立波解。
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 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.