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    • A new combined soliton solution of the modified Korteweg–de Vries equation

      JIANPING WU

      Research Article Volume 94 Published: 13 August 2020 Article ID 0123

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0123

    • Keywords

       

      Modified Korteweg–de Vries equation; combined soliton solution; soliton dynamics.

    • Abstract

       

      In this paper, the Riemann–Hilbert problem of the modified Korteweg–de Vries (mKdV) equation is studied, from which a new combined soliton solution is obtained. In addition, to illustrate the dynamics of the new combined soliton solution, an algebra technique is developed to demonstrate the soliton interactions using $Mathematica$ symbolic computations. The proposed method is effective in deriving and investigating new soliton solutions of the mKdV equation. The results also expand the understanding of the soliton structure of the mKdV equation.

    • Author Affiliations

       

      JIANPING WU

      1. Dates

         
        Published
        13 August 2020
        Manuscript received
        26 November 2019
        Manuscript revised
        9 February 2020
        Accepted
        18 February 2020
        Final version published online
        13 August 2020

    • Pramana – Journal of Physics | News

      • Editorial Note on Continuous Article Publication

        Posted on July 25, 2019

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