Science in China Series A: Mathematics

, Volume 50, Issue 6, pp 773–785 | Cite as

Dynamical understanding of loop soliton solution for several nonlinear wave equations

  • Ji-bin Li


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.


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


34C37 34C23 74J30 58Z05 


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Copyright information

© Science in China Press 2007

Authors and Affiliations

  • Ji-bin Li
    • 1
    • 2
  1. 1.Department of MathematicsZhejiang Normal UniversityJinhuaChina
  2. 2.Kunming University of Science and TechnologyKunmingChina

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