• On exact solutions of the Bogoyavlenskii equation

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      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

       
  • Pramana – Journal of Physics | News

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