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    • Travelling wave solutions to nonlinear physical models by means of the first integral method

      İsmail Aslan Aslan

      Volume 76 Issue 4 April 2011 pp 533-542

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/076/04/0533-0542

    • Keywords

       

      First integral method; modified Boussinesq equation; Fornberg–Whitham equation; nonlinear Schrödinger equation; travelling wave solutions.

    • Abstract

       

      This paper presents the first integral method to carry out the integration of nonlinear partial differential equations in terms of travelling wave solutions. For illustration, three important equations of mathematical physics are analytically investigated. Through the established first integrals, exact solutions are successfully constructed for the equations considered.

    • Author Affiliations

       

      İsmail Aslan Aslan1

      1. Department of Mathematics, Izmir Institute of Technology, Urla, İzmir 35430, Turkey

    • Dates

       
      Published
      April 2011
      Manuscript received
      21 April 2010
      Manuscript revised
      8 October 2010
      Accepted
      9 November 2010

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