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中国物理 B 2011
Solitons for a generalized variable-coefficient nonlinear Schr dinger equation
Keywords: generalized NLS equation,Hirota method,solitons Abstract: In this paper, we investigate some exact soliton solutions for a generalized variable-coefficients nonlinear Schr dinger equation (NLS) with an arbitrary time-dependent linear potential which describes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensations. Under some reasonable assumptions, one-soliton and two-soliton solutions are constructed analytically by the Hirota method. From our results, some previous one- and two-soliton solutions for some NLS-type equations can be recovered by some appropriate selection of the various parameters. Some figures are given to demonstrate some properties of the one- and the two-soliton and the discussion about the integrability property and the Hirota method is given finally.
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