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    • Exact solitary wave solutions to the (2 + 1)-dimensional generalised Camassa–Holm–Kadomtsev–Petviashvili equation

      BEHZAD GHANBARI JIAN-GUO LIU

      Research Article Volume 94 Published: 10 January 2020 Article ID 0021

    • Fulltext

       

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      https://www.ias.ac.in/article/fulltext/pram/094/0021

    • Keywords

       

      Generalised Camassa–Holm–Kadomtsev–Petviashvili equation; Kadomtsev–Petviashvili– Benjamin–Bona–Mahony equation; generalised exponential rational function method; simplest equation method

    • Abstract

       

      In this paper, a (2+1)-dimensional nonlinear evolution equation (NLEE), namely the generalised Camassa–Holm–Kadomtsev–Petviashvili equation (gCHKP) or Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation (KP-BBM), is examined. After applying the newly developed generalised exponential rational function method (GERFM), 14 travelling wave solutions are formally generated. It is worth mentioning that by specifying values to free parameters some previously obtained solutions can be recovered. The simplest equation method (SEM) is used to prove that the solutions obtained by GERFM are good. With the aid of a symbolic computation system, we prove that GERFM is more efficient and faster.

    • Author Affiliations

       

      BEHZAD GHANBARI1 2 JIAN-GUO LIU3

      1. Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran
      2. Department of Mathematics, Faculty of Engineering and Natural Sciences, Bahçe¸sehir University, P.O. Box 34349, Istanbul, Turkey
      3. College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi 330004, China

    • Dates

       
      Published
      10 January 2020
      Manuscript received
      7 August 2019
      Manuscript revised
      11 September 2019
      Accepted
      17 October 2019
      Early published
      Unedited version published online
      Final version published online
      3 January 2020

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