Existence and breaking property of real loop-solutions of two nonlinear wave equations

被引:1
作者
Li, Ji-bin [1 ,2 ]
机构
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Kunming Univ Sci & Technol, Kunming 650093, Peoples R China
基金
中国国家自然科学基金;
关键词
planar dynamical system; breaking wave solution; loop-solution; nonlinear wave equation; SOLITON SOLUTION;
D O I
10.1007/s10483-009-0501-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Dynamical analysis has revealed that, for some nonlinear wave equations, loop- and inverted loop-soliton solutions are actually visual artifacts. The so-called loopsoliton solution consists of three solutions, and is not a real solution. This paper answers the question as to whether or not nonlinear wave equations exist for which a "real" loop-solution exists, and if so, what are the precise parametric representations of these loop traveling wave solutions.
引用
收藏
页码:537 / 547
页数:11
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