The Solution of the Nonlinear Dispersive K(m,n,1) Equations by RDT Method

In the present paper, we implement the Reduced Differential Transform Method to solve the nonlinear dispersive K(m,n,1) type equations. This method is an alternative approach which is capable of reducing significantly the size of calculations unlike the classical differential transformation to overcome relatively troublesome aspects of perturbation techniques and the Adomian decomposition method regarding computational simplicity. To illustrate the applicability of the proposed method, two special types K(2,2,1) and K(3,3,1) of dispersive equations are discussed. Numerical results have been found in good agreement with the exact solutions.