Extended Jacobi elliptic function method and its applications to (2+1)﹣dimensional dispersive long-wave equation

doi:10.1088/1009-1963/13/1/002

中国物理B ›› 2004, Vol. 13 ›› Issue (1): 5-10.doi: 10.1088/1009-1963/13/1/002

Extended Jacobi elliptic function method and its applications to (2+1)﹣dimensional dispersive long-wave equation

李彪¹, 张鸿庆¹, 陈勇²

(1)Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; Key Laboratory of Mathematics and Mechanization, Chinese Academy of Sciences, Beijing 100080, China; (2)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; Key Laboratory of Mathematics and Mechanization, Chinese Academy of Sciences, Beijing 100080, China

收稿日期:2002-05-12 修回日期:2003-05-27 出版日期:2004-01-22 发布日期:2007-03-22
基金资助:
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).

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

Received:2002-05-12 Revised:2003-05-27 Online:2004-01-22 Published:2007-03-22
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: Jacobi elliptic function, double periodic solutions, solitary wave solutions

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.

Key words: Jacobi elliptic function, double periodic solutions, solitary wave solutions

中图分类号:

0340K

陈勇, 李彪, 张鸿庆. Extended Jacobi elliptic function method and its applications to (2+1)﹣dimensional dispersive long-wave equation[J]. 中国物理B, 2004, 13(1): 5-10.

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[J]. Chinese Physics, 2004, 13(1): 5-10.

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Extended Jacobi elliptic function method and its applications to (2+1)﹣dimensional dispersive long-wave equation

Extended Jacobi elliptic function method and its applications to (2+1)﹣dimensional dispersive long-wave equation

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