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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 Schroedinger equation

Keywords: soliton,nonlinear Schr?dinger equation,Hirota direct method
孤立子
,非线性薛定谔方程,Hirota引导,量子力学,散射态,边界态

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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.

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