Bifurcations and travelling wave solutions of a (2+1)-dimensional nonlinear Schrodinger equation

被引：8

作者：

Wang, Juan ^{[1
]}

Chen, Longwei ^{[1
]}

Liu, Changfu ^{[2
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650021, Yunnan, Peoples R China

[2] Wenshan Univ, Dept Math & Phys, Wenshan 663000, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 249卷

基金：

美国国家科学基金会;

关键词：

Travelling wave solutions; Nonlinear Schrodinger equation; Dynamical systems; Theory of bifurcation; Phase portraits;

D O I：

10.1016/j.amc.2014.10.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the travelling wave solutions of a nonlinear Schrodinger equation is considered by using the approach of dynamical systems and the theory of bifurcations. With the aid of Maple software, The possible explicit parametric representations of the bounded travelling wave solutions are got and all kinds of phase portraits in the parametric space are obtained. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：76 / 80

页数：5

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