• Non-local symmetry, interaction solutions and conservation laws of the (1 + 1)-dimensional Wu–Zhang equation

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      https://www.ias.ac.in/article/fulltext/pram/095/0129

    • Keywords

       

      (1 + 1)-dimensional Wu–Zhang equation; non-local symmetry; consistent tanh-expansion method; interaction solutions; conservation laws

    • Abstract

       

      In this article, we take into account the (1 + 1)-dimensional dispersive long-wave equation which is reduced from the Wu–Zhang equation. Firstly, the Bäcklund transformation and the non-local symmetry are successfully acquired from the truncated Painlevé expansion. At the same time, the non-local symmetry is transformed to Lie point symmetry by a suitable prolonged system. Then some solitary solutions are derived without a hitch via new Bäcklund transformation which originates from Lie point symmetry. Secondly, by utilising the consistent Riccati expansion method and the consistent tanh-expansion method, we find the interaction solutions between soliton and cnoidal wave by using the Jacobi elliptic function. Lastly, the conservation laws which are related to symmetries of the equation are successfully obtained by Ibragimov’s method.

    • Author Affiliations

       

      YANXIA WANG1 BEN GAO1

      1. College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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