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    • 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



      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

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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