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    • On exact solutions of the Bogoyavlenskii equation

      Yan-Ze Peng Ming Shen

      Research Articles Volume 67 Issue 3 September 2006 pp 449-456

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/067/03/0449-0456

    • Keywords

       

      Bogoyavlenskii equation; travelling wave method; singular manifold method

    • Abstract

       

      Exact solutions for the Bogoyavlenskii equation are studied by the travelling wave method and the singular manifold method. It is found that the linear superposition of the shock wave solution and the complex solitary wave solution for the physical field is still a solution of the equation of interest, except for a phase-shift. The dromion-like structures with elastic and nonelastic interactions are found.

    • Author Affiliations

       

      Yan-Ze Peng1 Ming Shen1

      1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan - 430074, People’s Republic of China

    • Dates

       
      Published
      September 2006
      Manuscript received
      20 April 2006
      Manuscript revised
      3 July 2006
      Accepted
      3 August 2006

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