%0 Journal Article
%T Approximate homotopy series solutions of perturbed PDEs via approximate symmetry method
%A Zhi-Yong Zhang
%J Physics
%D 2011
%I arXiv
%X We show that the two couple equations derived by approximate symmetry method and approximate homotopy symmetry method are connected by a transformation for the perturbed PDEs. Consequently, approximate homotopy series solutions can be obtained by acting the transformation on the known solutions by approximate symmetry method. Applications to the Cahn-Hilliard equation illustrate the effectiveness of the transformation.
%U http://arxiv.org/abs/1112.4225v2