• Generalised exponential rational function method for obtaining numerous exact soliton solutions to a (3 + 1)-dimensional Jimbo–Miwa equation

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      https://www.ias.ac.in/article/fulltext/pram/095/0152

    • Keywords

       

      Exact solutions; solitons; closed form solutions; generalised exponential rational function method.

    • Abstract

       

      In this work, we apply the generalised exponential rational function (GERF) method on an extended (3+1)-dimensional Jimbo–Miwa (JM) equation which describes the modelling of water waves of long wavelength with weakly nonlinear restoring forces and frequency dispersion. This JM equation is also used to construct modelling waves in ferromagnetic media and two-dimensional matter-wave pulses in Bose–Einstein condensates. The main purpose is to construct analytical wave solutions for the (3+1)-dimensional JM equation by utilising theGERF method with the help of symbolic computations.We have also presented three-dimensional plots to observe the dynamics of obtained results. To understand physical phenomenon through different shapes of solitary waves,we discussed solitons, the interaction of multiwave solitons, lump-type solitons and kink-type solutions.

    • Author Affiliations

       

      SACHIN KUMAR1 DHARMENDRA KUMAR1 2

      1. Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110 007, India
      2. Department of Mathematics, SGTB Khalsa College, University of Delhi, Delhi 110 007, India
    • Dates

       
  • Pramana – Journal of Physics | News

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