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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/092/03/0036

    • Keywords

       

      Date–Jimbo–Kashiwara–Miwa equation; soliton solutions; multiple exp-function method; complexiton solutions; extended transformed rational function method

    • Abstract

       

      In this work, we derive the complexiton solutions for Date–Jimbo–Kashiwara–Miwa (DJKM) equation using the extended transformed rational function algorithm that relies on the Hirota bilinear form of the considered equation. Additional solutions such as complex-valued solutions also fall out of this integration scheme. Multisoliton-type solutions, in other words one-soliton, two-soliton and three-soliton solutions, which comprise both wave frequencies and generic phase shifts are presented through the medium of the multiple exp-function methodology which falls out as a result of generalisation of Hirota’s perturbation technique.

    • Author Affiliations

       

      ABDULLAHI RASHID ADEM1 YAKUP YILDIRIM2 EMRULLAH YASAR2

      1. Material Science Innovation and Modelling Focus Area, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa
      2. Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, Turkey

    • Dates

       
      Published
      5 March 2019
      Manuscript received
      9 May 2018
      Manuscript revised
      18 July 2018
      Accepted
      23 July 2018
      Early published
      Unedited version published online
      Final version published online
      1 February 2019

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      Posted on July 25, 2019

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