New exact periodic solutions to (2+1)-dimensional dispersive long wave equations
Zhang Wen-Liang(张文亮), Wu Guo-Jiang(吴国将), Zhang Miao(张苗), Wang Jun-Mao(王军帽), and Han Jia-Hua(韩家骅)†
Key Laboratory of Opto-electronic Information Acquisition and Manipulation (Ministry of Education), School of Physics and Material Science, Anhui University, Hefei 230039, China
Abstract In this paper, we make use of the auxiliary equation and the expanded mapping methods to find the new exact periodic solutions for (2+1)-dimensional dispersive long wave equations in mathematical physics, which are expressed by Jacobi elliptic functions, and obtain some new solitary wave solutions ($m \to 1$). This method can also be used to explore new periodic wave solutions for other nonlinear evolution equations.
Received: 24 June 2007
Revised: 19 October 2007
Accepted manuscript online:
Fund: Project supported by the Anhui Key
Laboratory of Information Materials and Devices (Anhui University),
China.
Cite this article:
Zhang Wen-Liang(张文亮), Wu Guo-Jiang(吴国将), Zhang Miao(张苗), Wang Jun-Mao(王军帽), and Han Jia-Hua(韩家骅) New exact periodic solutions to (2+1)-dimensional dispersive long wave equations 2008 Chin. Phys. B 17 1156
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