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    • Computational soliton solutions to (2 + 1)-dimensional Pavlov equation using Lie symmetry approach

      SACHIN KUMAR MUKESH KUMAR DHARMENDRA KUMAR

      Research Article Volume 94 Published: 25 January 2020 Article ID 0028

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0028

    • Keywords

       

      (2 + 1)-Dimensional Pavlov equation; optimal system; invariant solutions

    • Abstract

       

      In this work, Lie symmetry analysis and one-dimensional optimal system for Pavlov equation are presented. All the possible vector fields, their commutative and adjoint relations are carried out under invariance property of Lie group theory. On the basis of optimal system, similarity reductions of Pavlov equation are obtained. A repeated process of similarity reductions transforms the Pavlov equation into ordinary differential equations, which generate invariant solutions. The obtained invariant solutions are supplemented by numerical simulation toanalyse the physical behaviour. Thus, their parabolic, multisoliton, nonlinear, kink and antikink wave profiles are traced in results and discussions sections.

    • Author Affiliations

       

      SACHIN KUMAR1 MUKESH KUMAR2 DHARMENDRA KUMAR3

      1. Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110 007, India
      2. Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211 004, India
      3. Department of Mathematics, SGTB Khalsa College, University of Delhi, Delhi 110 007, India

    • Dates

       
      Published
      25 January 2020
      Manuscript received
      12 June 2019
      Manuscript revised
      19 September 2019
      Accepted
      17 October 2019
      Early published
      Unedited version published online
      Final version published online
      20 January 2020

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      Posted on July 25, 2019

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