Traveling waves for a dissipative modified KdV equation

Journal of the Egyptian Mathematical Society

关键词: Perturbed modified KdV equation;    Singular perturbations;    Traveling waves;   

DOI  :  10.1016/j.joems.2012.08.002

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown