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    • Bifurcation analysis and the travelling wave solutions of the Klein–Gordon–Zakharov equations

      Zaiyun Zhang Fnag-Li Xia Xin-Ping Li

      Research Articles Volume 80 Issue 1 January 2013 pp 41-59

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/080/01/0041-0059

    • Keywords

       

      Klein–Gordon–Zakharov equations; travelling wave solutions; bifurcation analysis.

    • Abstract

       

      In this paper, we investigate the bifurcations and dynamic behaviour of travelling wave solutions of the Klein–Gordon–Zakharov equations given in Shang et al, Comput. Math. Appl. 56, 1441 (2008). Under different parameter conditions, we obtain some exact explicit parametric representations of travelling wave solutions by using the bifurcation method (Feng et al, Appl. Math. Comput. 189, 271 (2007); Li et al, Appl. Math. Comput. 175, 61 (2006)).

    • Author Affiliations

       

      Zaiyun Zhang1 Fnag-Li Xia2 Xin-Ping Li1

      1. School of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, Hunan Province, People’s Republic of China
      2. School of Mathematics and Computation Sciences, Hunan City University, Yiyang, 413000, Hunan Province, People’s Republic of China

    • Dates

       
      Published
      January 2013
      Manuscript received
      15 February 2012
      Manuscript revised
      28 May 2012
      Accepted
      20 June 2012

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