中国物理B ›› 2005, Vol. 14 ›› Issue (6): 1069-1074.doi: 10.1088/1009-1963/14/6/002

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Exact discrete soliton solutions of quintic discrete nonlinear Schr?dinger equation

李画眉, 吴锋民   

  1. Department of Physics, Zhejiang Normal University ,Jinhua 321004,PR China
  • 收稿日期:2004-10-29 修回日期:2005-01-18 出版日期:2005-05-27 发布日期:2005-05-27
  • 基金资助:
    The work is Supported by the National Science Foundation of China(Grant No. 10372094), the Natural Science Foundation of Zhejiang Province , China (Grant No.102053)and the Foundation of Zhejiang Education Committee (Grant No.20030706)

Exact discrete soliton solutions of quintic discrete nonlinear Schrödinger equation

Li Hua-Mei (李画眉), Wu Feng-Min (吴锋民)   

  1. Department of Physics, Zhejiang Normal University ,Jinhua 321004,PR China
  • Received:2004-10-29 Revised:2005-01-18 Online:2005-05-27 Published:2005-05-27
  • Supported by:
    The work is Supported by the National Science Foundation of China(Grant No. 10372094), the Natural Science Foundation of Zhejiang Province , China (Grant No.102053)and the Foundation of Zhejiang Education Committee (Grant No.20030706)

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摘要： By using the extended hyperbolic function approach, we consider a quintic discrete nonlinear Schr?dinger (QDNLS) equation and obtained new exact localized solutions ,including discrete bright soliton solution, dark soliton solution, alternating phase bright soliton solution and alternating phase dark soliton solution ,if a special constraint is imposed on coefficients of the equation.

关键词: discrete solitons, extended hyperbolic function　approach

Abstract: By using the extended hyperbolic function approach, we consider a quintic discrete nonlinear Schr?dinger (QDNLS) equation and obtained new exact localized solutions ,including discrete bright soliton solution, dark soliton solution, alternating phase bright soliton solution and alternating phase dark soliton solution ,if a special constraint is imposed on coefficients of the equation.

Key words: discrete solitons, extended hyperbolic function　approach

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

  • 03.65.Ge
05.45.Yv (Solitons) 02.30.Sa (Functional analysis)