Similarity Solutions of a Class of Perturbative Fokker-Planck Equation

Details Similarity Solutions of a Class of Perturbative Fokker-Planck Equation Similarity Solutions of a Class of Perturbative Fokker-Planck Equation

2011-03-18

arxiv.org/abs/1103.3558v1

Physics

Mathematical Physics

Scientific paper

In a previous work, a perturbative approach to a class of Fokker-Planck equations, which have constant diffusion coefficients and small time-dependent drift coefficients, was developed by exploiting the close connection between the Fokker-Planck equations and the Schrodinger equations. In this work, we further explore the possibility of similarity solutions of such a class of Fokker-Planck equations. These solutions possess definite scaling behaviors, and are obtained by means of the so-called similarity method.

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