中国物理B ›› 2004, Vol. 13 ›› Issue (4): 441-444.doi: 10.1088/1009-1963/13/4/004

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A certain critical two-soliton solution of the nonlinear Schr?dinger equation

颜家壬, 潘留仙, 卢竞   

  1. Department of Physics , Hunan Normal University, Changsha 410081, China
  • 收稿日期:2003-06-13 修回日期:2003-11-18 出版日期:2004-04-22 发布日期:2004-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10375022).

A certain critical two-soliton solution of the nonlinear Schr?dinger equation

Yan Jia-Ren (颜家壬), Pan Liu-Xian (潘留仙), Lu Jing (卢竞)   

  1. Department of Physics , Hunan Normal University, Changsha 410081, China
  • Received:2003-06-13 Revised:2003-11-18 Online:2004-04-22 Published:2004-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10375022).

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摘要： An exact two-soliton solution of the nonlinear Schr?dinger equation is derived by using the Hirota direct approach. This solution describes such a critical process that two still solitons separated infinitely approach and then pass through each other and keep straight on infinitely.

关键词: soliton, nonlinear Schr?dinger equation, Hirota direct method

Abstract: An exact two-soliton solution of the nonlinear Schr?dinger equation is derived by using the Hirota direct approach. This solution describes such a critical process that two still solitons separated infinitely approach and then pass through each other and keep straight on infinitely.

Key words: soliton, nonlinear Schr$\ddot{o}$dinger equation, Hirota direct method

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.-f (Function theory, analysis) 03.65.Ge (Solutions of wave equations: bound states)