The exact solutions and the relevant constraint conditions for two nonlinear Schrodinger equations with variable coefficients

The exact solutions and the relevant constraint conditions for two nonlinear Schrodinger equations with variable coefficients
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DOI:
10.1016/j.chaos.2007.01.116
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发表时间:
2009-01
影响因子:
7.8
通讯作者:
Jinliang Zhang;Bao-An Li;Mingliang Wang
Jinliang Zhang;Bao-An Li;Mingliang Wang
中科院分区:
数学1区
文献类型:
--
作者:
Jinliang Zhang;Bao-An Li;Mingliang Wang

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Two nonlinear Schrödinger equations with variable coefficients are researched, and the various exact solutions (including the bright and dark solitary waves) of the nonlinear Schrödinger equations are obtained with the aid of a subsidiary elliptic-like equation (sub-ODEs for short), at the same time, the constraint conditions which the coefficients of the nonlinear Schrödinger equations with variable coefficients satisfy are presented. The exact solutions and the constraint conditions are helpful in the application of the nonlinear Schrödinger equations with variable coefficients studied in this paper.