Traveling waves for a dissipative modified KdV equation | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 20, Issue 2, 2012, Page 134-138 PDF (596.61 K) | ||||
| DOI: org/10.1016/j.joems.2012.08.002 | ||||
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| Author | ||||
| M. B. A. Mansour | ||||
| Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt | ||||
| Abstract | ||||
| In this paper we consider a dispersive–dissipative nonlinear equation which can be regarded as a dissipation perturbed modified KdV equation, governing the evolution of long waves in an elastic rod immersed inside a viscoelastic medium. Using geometric singular perturbation theory, a construction of traveling waves for the equation is shown. This also is illustrated by presenting some numerical calculations. | ||||
| Keywords | ||||
| Perturbed modified KdV equation; Singular perturbations; Traveling waves | ||||
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