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We show that the two couple equations derived by approximate symmetry methodand approximate homotopy symmetry method are connected by a transformation forthe perturbed PDEs. Consequently, approximate homotopy series solutions can beobtained by acting the transformation on the known solutions by approximatesymmetry method. Applications to the Cahn-Hilliard equation illustrate theeffectiveness of the transformation.

Approximate homotopy series solutions of perturbed PDEs via approximate symmetry method