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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/095/0117

    • Keywords

       

      Modified Camassa–Holm equation; Riccati–Bernoulli sub-ODE method; solitary wave solutions; moving mesh partial differential equations; moving adaptive scheme

    • Abstract

       

      In this article, analytical and numerical solutions to the simplified modified Camassa–Holm (MCH) equation by using the Riccati–Bernoulli (RB) sub-ODE method and moving mesh method are obtained. Some new solutions are given. The discrtisation of the presented model is introduced in the form of finite difference operators. Some 3D graphs for the presented solution are plotted with the aid of the Matlab software for suitable values of parameters. We introduce the comparison between numerical and exact solutions.

    • Author Affiliations

       

      MAHMOUD A E ABDELRAHMAN1 2 ABDULGHANI ALHARBI1

      1. Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
      2. Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

    • Dates

       
      Published
      13 July 2021
      Manuscript received
      28 June 2020
      Manuscript revised
      10 February 2021
      Accepted
      22 March 2021
      Final version published online
      13 July 2021

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      Posted on July 25, 2019

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