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

被引：22

作者：

Zhang, Jin-Liang ^{[1
]}

Li, Bao-An ^{[1
]}

Wang, Ming-Liang ^{[1
,2
]}

机构：

[1] Henan Univ Sci & Technol, Coll Sci, Luoyang 471003, Peoples R China

[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 02期

关键词：

PERIODIC-WAVE SOLUTIONS; F-EXPANSION METHOD; QUASI-SOLITON SOLUTIONS; VARYING DISPERSION; EVOLUTION;

D O I：

10.1016/j.chaos.2007.01.116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two nonlinear Schrodinger equations with variable coefficients are researched, and the various exact solutions (including the bright and dark solitary waves) of the nonlinear Schrodinger 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 Schrodinger equations with variable coefficients satisfy are presented. The exact solutions and the constraint conditions are helpful in the application of the nonlinear Schrodinger equations with variable coefficients studied in this paper. (C) 2009 Published by Elsevier Ltd.

引用

页码：858 / 865

页数：8

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