Dynamical understanding of loop soliton solution for several nonlinear wave equations

被引：0

作者：

Jibin LI Department of Mathematics Zhejiang Normal University Jinhua China ^{[321004
]}

Kunming University of Science and Technology Kunming China ^{[650093
]}

机构：

来源：

ScienceinChina(SeriesA:Mathematics) | 2007年 / 06期

关键词：

planar dynamical system; homoclinic orbit; solitary wave solution; one-loop soliton solution; periodic wave solution; bifurcation; nonlinear wave equation;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

<正>It has been found that some nonlinear wave equations have one-loop soliton solutions. What is the dynamical behavior of the so-called one-loop soliton solution? To answer this question, the travelling wave solutions for four nonlinear wave equations are discussed. Exact explicit parametric representations of some special travelling wave solutions are given. The results of this paper show that a loop solution consists of three different breaking travelling wave solutions. It is not one real loop soliton travelling wave solution.

引用

页码：773 / 785

页数：13