中国物理B ›› 2004, Vol. 13 ›› Issue (6): 798-804.doi: 10.1088/1009-1963/13/6/003

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General Jacobian elliptic function expansion method and its applications

马正义1, 方建平1, 朱加民2, 郑春龙3, 张解放4   

  1. (1)Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; (2)Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; (3)Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China; (4)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2003-03-19 修回日期:2003-12-29 出版日期:2004-07-05 发布日期:2005-07-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10172056).

General Jacobian elliptic function expansion method and its applications

Zhu Jia-Min (朱加民)ab, Ma Zheng-Yi (马正义)a, Fang Jian-Ping (方建平)a, Zheng Chun-Long (郑春龙)ac, Zhang Jie-Fang (张解放)b   

  1. a Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; b Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; c Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China
  • Received:2003-03-19 Revised:2003-12-29 Online:2004-07-05 Published:2005-07-05
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10172056).

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摘要： An extended Jacobian elliptic function expansion method is presented and successfully applied to the nonlinear Schr?dinger (NLS) equation and Zakharov equation. We obtain some new solutions besides Fu et al's results. The results show that our method is more powerful to construct Jacobian elliptic function and can be applied to other nonlinear physics systems.

Abstract: An extended Jacobian elliptic function expansion method is presented and successfully applied to the nonlinear Schrödinger (NLS) equation and Zakharov equation. We obtain some new solutions besides Fu et al's results. The results show that our method is more powerful to construct Jacobian elliptic function and can be applied to other nonlinear physics systems.

Key words: nonlinear Schrödinger equation, Zakharov equation, Jacobian elliptic function, solitary wave solution

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
02.30.-f (Function theory, analysis) 05.45.Yv (Solitons)