Similarity solutions of a class of perturbative Fokker-Planck equation

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 Schroumldinger 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. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3605481]