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