Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (4): 437-440 .doi: https://doi.org/10.1007/s10483-008-0402-y

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Exact traveling wave solutions for an integrable nonlinear evolution equation given by M. Wadati

李继彬   

  • 收稿日期:2008-02-19 修回日期:2008-03-05 出版日期:2008-04-18 发布日期:2008-04-18
  • 通讯作者: 李继彬

Exact traveling wave solutions for an integrable nonlinear evolution equation given by M. Wadati

LI Ji-bin   

    1. School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China;
    2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China
  • Received:2008-02-19 Revised:2008-03-05 Online:2008-04-18 Published:2008-04-18
  • Contact: LI Ji-bin

Abstract: By using the method of dynamical systems, the travelling wave solutions of for an integrable nonlinear evolution equation is studied. Exact explicit parametric representations of kink and anti-kink wave, periodic wave solutions and uncountably infinite many smooth solitary wave solutions are given.

Key words: kink and anti-kink wave solutions, nonlinear evolution equation, solitary wave solution, periodic wave solution

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