• Symmetry reductions and exact solutions of the (2 + 1)-dimensional Camassa–Holm Kadomtsev–Petviashvili equation

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      https://www.ias.ac.in/article/fulltext/pram/085/01/0003-0016

    • Keywords

       

      Lie group method; g-CH–KP equation; symmetry reduction; conservation laws; exact solutions.

    • Abstract

       

      In this paper, the classical Lie group method is employed to obtain exact travelling wave solutions of the generalized Camassa–Holm Kadomtsev–Petviashvili (g-CH–KP) equation. We give the conservation laws of the g-CH–KP equation. Using the symmetries, we find six classical similarity reductions of g-CH–KP equation. Many types of exact solutions of the g-CH–KP equation are derived by solving the reduced equations.

    • Author Affiliations

       

      Wang Zhen-Li1 Liu Qiang1

      1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, China
    • Dates

       
  • Pramana – Journal of Physics | News

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