Exact Traveling Wave Solutions of the Fractional Type Kuramoto-Sivashinsky (KS-Equation) Equation by  \({\frac{G'}{G}}\) -Expansion Method

The traveling wave solutions of nonlinear fractional Kuramoto-Sivashinsky (KS-Equation) equation has been obtained by employ \({\frac{G'}{G}}\) -expansion method. Some new traveling wave solutions with arbitrary parameters of nonlinear fractional Kuramoto-Sivashinsky equation are successfully deduced these are presented in terms of trigonometric function, hyperbolic function, and rational function.