Modulated Soliton Solution of the Modified Kuramoto-Sivashinsky's Equation

Abstract

We constructed in this work a modulated soliton solution. This solution is a multiform soliton prototype modulated by the very small parameter. In practice it can represent, a model of soliton capable of changing its form with respect to the obstacle in its medium of propagation without any loss in its initial energy. The nonlinear partial differential equation used in the construction of this solution is that of modified Kuramoto-Sivashinsky.