Invariant Subspace Method and Some Exact Solutions of Time Fractional Modi ed Kuramoto-Sivashinsky Equation

Abstract

In this paper, we construct the exact solutions of the modied nonlinear time fractional Kuramoto-Sivashinsky equation by suing the invariant subspace method. As a result, the obtained reduced system of nonlinear ordinary fractional equations is solved by the Laplace transform method and with using of some useful properties of Mittag-Leer functions. Then, some exact solutions of the time fractional nonlinear studied equation are found.