The goal of this study deals with an effective approach to achieve the approximate solution of
nonlinear partial differential equations (NPDE's). This approach exempts the calculation of integration in
recurrence relation, and the convolution theorem in Laplace transforms to compute the value of Lagrange
multiplier. Finally, nonlinear terms can easily be handled with He's polynomials via homotopy perturbation
method (HPM). This approach demonstrates the high efficiency and attains very good agreement in illustrated
problems.
Keywords: He-Laplace method, He's polynomials, KdV equation, Inverse Laplace transform.
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