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.
Received: 13 June 2003
Revised: 18 November 2003
Accepted manuscript online:
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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