A. Mansour, M. (2012). Traveling waves for a dissipative modified KdV equation. test, 20(2), 134-138. doi: org/10.1016/j.joems.2012.08.002
M. B. A. Mansour. "Traveling waves for a dissipative modified KdV equation". test, 20, 2, 2012, 134-138. doi: org/10.1016/j.joems.2012.08.002
A. Mansour, M. (2012). 'Traveling waves for a dissipative modified KdV equation', test, 20(2), pp. 134-138. doi: org/10.1016/j.joems.2012.08.002
A. Mansour, M. Traveling waves for a dissipative modified KdV equation. test, 2012; 20(2): 134-138. doi: org/10.1016/j.joems.2012.08.002

Traveling waves for a dissipative modified KdV equation

Journal of the Egyptian Mathematical Society
Volume 20, Issue 2, 2012, Pages 134-138    PDF (596.61 K)
DOI: org/10.1016/j.joems.2012.08.002
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
Statistics
Article View: 19
PDF Download: 18