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    • Analytical behaviour of lump solution and interaction phenomenon to the Kadomtsev–Petviashvili-like equation

      MOHAMMAD SHAHRIARI JALIL MANAFIAN

      Research Article Volume 93 Issue 1 July 2019 Article ID 0003

    • Fulltext

       

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      https://www.ias.ac.in/article/fulltext/pram/093/01/0003

    • Keywords

       

      Kadomtsev–Petviashvili-like equation; generalised Hirota bilinear method; lump solution; periodic kink-wave solution; solitary wave solution

    • Abstract

       

      In this paper, we use the generalised Hirota bilinear method (GHBM). With the help of symbolic calculations and applying the used method, we solve the Kadomtsev–Petviashvili (KP)-like equation with $p$ = 3 to obtain some new lump, periodic kink-wave and solitary wave solutions. All solutions have been verified with their corresponding equations with the aid of the Maple package program.

    • Author Affiliations

       

      MOHAMMAD SHAHRIARI1 JALIL MANAFIAN2

      1. Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran
      2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

    • Dates

       
      Published
      1 July 2019
      Manuscript received
      6 August 2018
      Manuscript revised
      5 December 2018
      Accepted
      13 December 2018
      Early published
      Unedited version published online
      Final version published online
      16 April 2019

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