Darboux transformation and soliton-like solutions of nonlinear Schrodinger equations

被引：46
|
作者：
Xia, TC [1 ]
Chen, XH
Chen, DY
机构：
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
[2] Bohai Univ, Dept Math, Jinzhou 121000, Peoples R China
[3] Anshan Univ Sci & Technol, Dept Math, Anshan 114007, Peoples R China
[4] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 26卷 / 03期
关键词：
D O I：
10.1016/j.chaos.2005.01.030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this Letter, a systematic method is presented to construct c the Darboux transformation with multi-parameters for the coupled nonlinear Schrodinger equations, from which the solutions of Schrodinger equations are reduced to solving a linear algebraic system and a constraint differential equation. With the aid of symbolic computation, new soliton-like solutions for the nonlinear Schrodinger equations are obtained by using its Darboux transformation. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：889 / 896
页数：8
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