Monday, April 23, 2012

1112.4225 (Zhi-Yong Zhang)

Approximate homotopy series solutions of perturbed PDEs via approximate
symmetry method

Zhi-Yong Zhang
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.
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