Extended Jacobi elliptic function method and its applications to (2+1)﹣dimensional dispersive long-wave equation
Chen Yong (陈勇)a)b)c) †, Li Biao(李彪)b)a), and Zhang Hong-Qing(张鸿庆)b)c)
a) Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; b) Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; c) Key Laboratory of Mathematics and Mechanization, Chinese Academy of Sciences, Beijing 100080, China
Abstract An extended Jacobi elliptic function method is proposed for constructing the exact double periodic solutions of nonlinear partial differential equations (PDEs) in a unified way. It is shown that these solutions exactly degenerate to the many types of soliton solutions in a limited condition. The Wu－Zhang equation (which describes the (2+1)﹣dimensional dispersive long wave) is investigated by this means and more formal double periodic solutions are obtained.
Received: 12 May 2002
Revised: 27 May 2003
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10072013), and the State Key Development Program for Basic Research of China (Grant No G1998030600).
Cite this article:
Chen Yong (陈勇), Li Biao(李彪), and Zhang Hong-Qing Extended Jacobi elliptic function method and its applications to (2+1)﹣dimensional dispersive long-wave equation 2004 Chinese Physics 13 5
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