Dynamical understanding of loop soliton solution for several nonlinear wave equations

被引：0
作者：
Ji-bin Li
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Kunming University of Science and Technology,undefined
来源：
Science in China Series A: Mathematics | 2007年 / 50卷
关键词：
planar dynamical system; homoclinic orbit; solitary wave solution; one-loop soliton solution; periodic wave solution; bifurcation; nonlinear wave equation; 34C37; 34C23; 74J30; 58Z05;
D O I：
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学科分类号：
摘要：
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.
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页码：773 / 785
页数：12
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