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Abstract
We have proposed accelerated homotopy perturbation transformation method (HPTM) for the solution of KdV equations of order three and four. The proposed technique is a blend of “homotopy perturbation technique” and “Laplace transformation” and include a new form of He’s polynomial for handling the nonlinear terms present in the equation. The result obtained from the proposed method shows the reliability, effiectiveness and applicability of this method for solving such complex nonlinear partial differential equations.