中国物理B ›› 2005, Vol. 14 ›› Issue (2): 251-256.doi: 10.1088/1009-1963/14/2/006

• GENERAL • 上一篇    下一篇

New exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields

李画眉   

  1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2004-04-07 修回日期:2004-10-02 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported by the National Natural 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).

New exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields

Li Hua-Mei (李画眉)   

  1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • Received:2004-04-07 Revised:2004-10-02 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported by the National Natural 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 mapping method and an appropriate transformation, we find new exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions , triangular function solutions, bright and dark solitons, and soliton-like solutions.

Abstract: By using the mapping method and an appropriate transformation, we find new exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions , triangular function solutions, bright and dark solitons, and soliton-like solutions.

Key words: Gross—Pitaevskii equation, exact solution, mapping method

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
05.45.Yv (Solitons) 02.30.Hq (Ordinary differential equations)