Analytical solution for the generalized Kuramoto-Sivashinsky equation by the dierential transform method

In this paper, the numerical solution of the generalized Kuramoto-Sivashinsky equation is presented using the Dierential Transform Method (DTM). The DTM is a powerful and ecient technique for nding solutions of nonlinear equations without the need of a linearization process. In this approach, the solution is found in the form of a rapidly convergent series with easily computed components. Numerical experiments demonstrate the accuracy and robustness of the method for solving a class of nonlinear partial dierential equations.