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    • From bell-shaped solitary wave to W/M-shaped solitary wave solutions in an integrable nonlinear wave equation

      Aiyong Chen Jibin Li Chunhai Li Yuanduo Zhang

      Research Articles Volume 74 Issue 1 January 2010 pp 19-26

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/074/01/0019-0026

    • Keywords

       

      Bifurcation method; periodic wave solution; solitary wave solution; W/M- shaped solitary wave solutions.

    • Abstract

       

      The bifurcation theory of dynamical systems is applied to an integrable non-linear wave equation. As a result, it is pointed out that the solitary waves of this equation evolve from bell-shaped solitary waves to W/M-shaped solitary waves when wave speed passes certain critical wave speed. Under different parameter conditions, all exact explicit parametric representations of solitary wave solutions are obtained.

    • Author Affiliations

       

      Aiyong Chen1 2 Jibin Li1 Chunhai Li2 Yuanduo Zhang3

      1. Center of Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan, 650093, People’s Republic of China
      2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People’s Republic of China
      3. Foundation Department, Southwest Forestry University, Kunming, Yunnan, 650224, People’s Republic of China

    • Dates

       
      Published
      January 2010
      Manuscript received
      7 October 2008
      Manuscript revised
      1 July 2009
      Accepted
      9 September 2009

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