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    • On the solitary wave solutions of modified Benjamin–Bona–Mahony equation for unidirectional propagation of long waves

      A K GUPTA J HAZARIKA

      Research Article Volume 94 Published: 3 September 2020 Article ID 0134

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0134

    • Keywords

       

      Nonlinear evolution equation; modified Benjamin–Bona–Mahony equation; generalised Kudryashov method; optimal homotopy asymptotic method; soliton solution.

    • Abstract

       

      In this article, generalised Kudryashov technique has been implemented to construct new soliton solutions of modified Benjamin–Bona–Mahony (mBBM) equation. Also, the optimal homotopy asymptotic method (OHAM) has been employed to estimate the numerical solution. The solutions thus acquired by the above methods are illustrated graphically. The techniques considered here are efficacious, plausible and can be employed in mathematical physics to compute new exact and numerical solutions of NPDEs.

    • Author Affiliations

       

      A K GUPTA1 J HAZARIKA2

      1. School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar 751 024, India
      2. School of Computer Engineering, KIIT Deemed to be University, Bhubaneswar 751 024, India

    • Dates

       
      Published
      3 September 2020
      Manuscript received
      20 December 2019
      Manuscript revised
      14 May 2020
      Accepted
      1 July 2020
      Final version published online
      3 September 2020

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      Posted on July 25, 2019

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