Darboux transformation and soliton-like solutions of nonlinear Schrodinger equations

被引：47

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.

引用

页码：889 / 896

页数：8

共 22 条

[1]

Ablowitz M.J., 1991, SOLITONS NONLINEAR E

[2] INTEGRABILITY OF NON-LINEAR HAMILTONIAN-SYSTEMS BY INVERSE SCATTERING METHOD [J].

CHEN, HH ;

LEE, YC ;

LIU, CS .

PHYSICA SCRIPTA, 1979, 20 (3-4) :490-492

[3]

CIESLINSKI J, 1995, J MATH PHYS, V36, P5670, DOI 10.1063/1.531282

[4] EXACT-SOLUTIONS OF THE MULTIDIMENSIONAL DERIVATIVE NONLINEAR SCHRODINGER-EQUATION FOR MANY-BODY SYSTEMS NEAR CRITICALITY [J].

CLARKSON, PA ;

TUSZYNSKI, JA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (19) :4269-4288

[5]

CLARKSON PA, 2003, J PHYS A, P20

[6] Darboux transformation and solutions for an equation in 2+1 dimensions [J].

Estévez, PG .

JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (03) :1406-1419

[7] Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation [J].

Fan, EG .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (39) :6925-6933

[8]

Fan EG, 2000, J MATH PHYS, V41, P2058, DOI 10.1063/1.533226

[9]

Gerdjikov V. S., 1983, Bulgarian Journal of Physics, V10, P130

[10]

GU CH, 1986, LETT MATH PHYS, V11, P325, DOI 10.1007/BF00574158

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