EXACT SOLITARY-WAVE SOLUTIONS FOR THE NONLINEAR DISPERSIVE K (2,2,1) and K (3,3,1) EQUATIONS BY THE HOMOTOPY PERTURBATION METHOD

We implemented homotopy perturbation method for approximating the solution to the nonlinear dispersive K(m, n, 1) type equations. By using this scheme, the explicit exact solution is calculated in the form of a quickly convergent series with easily computable components. To illustrate the application of this method, numerical results are derived by using the calculated components of the homotopy perturbation series.