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Chinese Physics, 2004, Vol. 13(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

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
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.
Keywords:  soliton      nonlinear Schr$\ddot{o}$dinger equation      Hirota direct method  
Received:  13 June 2003      Revised:  18 November 2003      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.-f (Function theory, analysis)  
  03.65.Ge (Solutions of wave equations: bound states)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10375022).

Cite this article: 

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 2004 Chinese Physics 13 441

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