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Chinese Physics, 2004, Vol. 13(6): 798-804    DOI: 10.1088/1009-1963/13/6/003
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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
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
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.
Keywords:  nonlinear Schrödinger equation      Zakharov equation      Jacobian elliptic function      solitary wave solution  
Received:  19 March 2003      Revised:  29 December 2003      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  02.30.-f (Function theory, analysis)  
  05.45.Yv (Solitons)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10172056).

Cite this article: 

Zhu Jia-Min (朱加民), Ma Zheng-Yi (马正义), Fang Jian-Ping (方建平), Zheng Chun-Long (郑春龙), Zhang Jie-Fang (张解放) General Jacobian elliptic function expansion method and its applications 2004 Chinese Physics 13 798

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