Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation

Abstract

<br />In this paper we obtain exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes many<br />physical processes in motion of turbulence and other unstable process systems. The methods used to determine the exact solutions of the underlying equation are the Lie group analysis and the simplest equation method. The solutions obtained are then plotted.