Efficient Implementation of Modified Asymptotic Method for the Solution of Nonlinear Coupled Partial Differential Equations

In this paper the approximate solution of coupled burgers and mKdV equations by using modified Optimal Homotopy Asymptotic Method (mOHAM) has been studied. We obtained the series solutions of the family of nonlinear coupled equations by mOHAM and compared with the Exact and Homotopy Perturbation Method (HPM) solutions. The obtained solution shows that OHAM is effective, simpler and explicit and give a suitable way to control the convergence of the approximate solution.

mOHAM, HPM, Exact, coupled burgers and coupled mKdV equations