Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation

Document Type: Research articles


Department of Mathematical Sciences, North-West University, Ma keng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa


In this paper we obtain  exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes many
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.