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    • Travelling wave solutions for a singularly perturbed Burgers–KdV equation

      M B A Mansour

      Volume 73 Issue 5 November 2009 pp 799-806

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/073/05/0799-0806

    • Keywords

       

      Burgers–KdV equation; singular perturbation; travelling wave solutions.

    • Abstract

       

      This paper concerns with the existence problem of travelling wave solutions to a singularly perturbed Burgers–KdV equation. For this, we use the dynamical systems approach, specifically, the geometric singular perturbation theory and centre manifold theory. We also numerically show approximations, in particular, for kink-type waves.

    • Author Affiliations

       

      M B A Mansour1

      1. Mathematics Department, Faculty of Science at Qena, South Valley University, Qena, Egypt

    • Dates

       
      Published
      November 2009
      Manuscript received
      7 October 2008
      Manuscript revised
      11 May 2009
      Accepted
      11 June 2009

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