• Numerical solution of nonlinear fractional Zakharov–Kuznetsov equation arising in ion-acoustic waves

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/093/04/0066

    • Keywords

       

      Zakharov–Kuznetsov equation; $q$-homotopy analysis transform method; Caputo fractional derivative; Laplace decomposition method

    • Abstract

       

      The main purpose of this work is to suggest an efficient hybrid computational technique, namely the $q$-homotopy analysis transform method ($q$-HATM) to find the solution of the nonlinear time-fractional Zakharov–Kuznetsov (FZK) equation in two dimensions. The uniqueness and convergence analysis of the nonlinear time-FZK equation is presented. The Laplace decomposition method (LDM) is also employed to get the approximate solution of the nonlinear FZK equation. We implemented these techniques on two numerical examples, plotted the solution and compared the absolute error with the variational iteration technique and homotopy perturbation transform technique to show the efficiency of these techniques.

    • Author Affiliations

       

      AMIT PRAKASH1 VIJAY VERMA2

      1. Department of Mathematics, National Institute of Technology, Kurukshetra 136 119, India
      2. Department of Mathematics, Pt. Chiranji Lal Sharma Govt. (PG) College, Karnal 132 001, India
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.