New explicit solutions for (2+1)-dimensional soliton equation

被引：24

作者：

Ye, Caier ^{[1
,2
]}

Zhang, Weiguo ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Sch Sci, Shanghai 200093, Peoples R China

[2] Zhejiang Agr & Forestry Univ, Coll Sci, Linan 311300, Zhejiang, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2011年 / 44卷 / 12期

基金：

上海市自然科学基金;

关键词：

TRAVELING-WAVE SOLUTIONS; SINE-COSINE METHOD; F-EXPANSION METHOD; BIFURCATIONS; ALGORITHM; PEAKONS;

D O I：

10.1016/j.chaos.2011.08.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Letter, we study (2 + 1)-dimensional soliton equation by using the bifurcation theory of planar dynamical systems. Following a dynamical system approach, in different parameter regions, we depict phase portraits of a travelling wave system. Bell profile solitary wave solutions, kink profile solitary wave solutions and periodic travelling wave solutions are given. Further, we present the relations between the bounded travelling wave solutions and the energy level h. Through discussing the energy level h, we obtain all explicit formulas of solitary wave solutions and periodic wave solutions. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1063 / 1069

页数：7

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