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

doi:10.1088/1009-1963/13/4/004

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

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

颜家壬, 潘留仙, 卢竞

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)

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).

摘要/Abstract

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)

颜家壬, 潘留仙, 卢竞. A certain critical two-soliton solution of the nonlinear Schr?dinger equation[J]. 中国物理B, 2004, 13(4): 441-444.

Yan Jia-Ren (颜家壬), Pan Liu-Xian (潘留仙), Lu Jing (卢竞). A certain critical two-soliton solution of the nonlinear Schr?dinger equation[J]. Chinese Physics, 2004, 13(4): 441-444.

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

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

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