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

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    • 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

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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