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.
A. Mansour, M. (2012). Traveling waves for a dissipative modified KdV equation. Journal of the Egyptian Mathematical Society, 20(2), 134-138. doi: org/10.1016/j.joems.2012.08.002
MLA
M. B. A. Mansour. "Traveling waves for a dissipative modified KdV equation", Journal of the Egyptian Mathematical Society, 20, 2, 2012, 134-138. doi: org/10.1016/j.joems.2012.08.002
HARVARD
A. Mansour, M. (2012). 'Traveling waves for a dissipative modified KdV equation', Journal of the Egyptian Mathematical Society, 20(2), pp. 134-138. doi: org/10.1016/j.joems.2012.08.002
VANCOUVER
A. Mansour, M. Traveling waves for a dissipative modified KdV equation. Journal of the Egyptian Mathematical Society, 2012; 20(2): 134-138. doi: org/10.1016/j.joems.2012.08.002
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