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

摘要

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.