中国物理B ›› 2008, Vol. 17 ›› Issue (4): 1156-1164.doi: 10.1088/1674-1056/17/4/002

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New exact periodic solutions to (2+1)-dimensional dispersive long wave equations

张文亮, 吴国将, 张苗, 王军帽, 韩家骅   

  1. Key Laboratory of Opto-electronic Information Acquisition and Manipulation (Ministry of Education), School of Physics and Material Science, Anhui University, Hefei 230039, China
  • 收稿日期:2007-06-24 修回日期:2007-10-19 出版日期:2008-04-20 发布日期:2008-04-20
  • 基金资助:
    Project supported by the Anhui Key Laboratory of Information Materials and Devices (Anhui University), China.

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)†   

  1. Key Laboratory of Opto-electronic Information Acquisition and Manipulation (Ministry of Education), School of Physics and Material Science, Anhui University, Hefei 230039, China
  • Received:2007-06-24 Revised:2007-10-19 Online:2008-04-20 Published:2008-04-20
  • Supported by:
    Project supported by the Anhui Key Laboratory of Information Materials and Devices (Anhui University), China.

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摘要： 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.

关键词: auxiliary equation method, expanded mapping method, (2+1)-dimensional dispersive long wave equations, periodic wave solutions

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.

Key words: auxiliary equation method, expanded mapping method, (2+1)-dimensional dispersive long wave equations, periodic wave solutions

中图分类号:  (Ordinary differential equations)

  • 02.30.Hq
05.45.Yv (Solitons)