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

      Wang Zhen-Li Liu Qiang

      Volume 85 Issue 1 July 2015 pp 3-16

    • Fulltext

       

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      Permanent link:
      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

       
      Published
      July 2015
      Manuscript received
      27 November 2013
      Manuscript revised
      31 May 2014
      Accepted
      11 June 2014
      Early published
      11 January 2015

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