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

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.

M B A Mansour¹

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

Published

November 2009

Manuscript received

7 October 2008

Manuscript revised

11 May 2009

Accepted

11 June 2009