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    • Solutions and conservation laws of Benjamin–Bona–Mahony–Peregrine equation with power-law and dual power-law nonlinearities

      Chaudry Masood Khalique

      Research Articles Volume 80 Issue 3 March 2013 pp 413-427

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/080/03/0413-0427

    • Keywords

       

      Lie symmetries; integrability; solitons; conservation laws; simplest equation method.

    • Abstract

       

      In this paper, exact solutions of Benjamin–Bona–Mahony–Peregrine equation are obtained with power-law and dual power-law nonlinearities. The Lie group analysis as well as the simplest equation method are used to carry out the integration of these equations. The solutions obtained are cnoidal waves, periodic solutions and soliton solutions. Subsequently, the conservation laws are derived for the underlying equations.

    • Author Affiliations

       

      Chaudry Masood Khalique1

      1. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa

    • Dates

       
      Published
      March 2013
      Manuscript received
      3 January 2012
      Accepted
      8 October 2012

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