Potential symmetries and invariant solutions for the generalized one-dimensional Fokker–Planck equation

A.H. Khater, M.H.M. Moussa and S.F. Abdul-Aziz

Physica A: Statistical Mechanics and its Applications, 2002, vol. 304, issue 3, 395-408

Abstract: Pucci and Saccomandi [J. Phys. A 26 (1993) 681] have obtained invariant solutions for the Fokker–Planck (FP) equation via potential symmetries. Herein, we analyze the generalized one-dimensional FP equation for various cases corresponding to the physically interesting situations through the application of the same technique. Some interesting outcomes of this study are the deductions of the new exact solutions that do not seem to have been reported in the literature.

Keywords: Partial differential equations; Heat conduction (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:304:y:2002:i:3:p:395-408

DOI: 10.1016/S0378-4371(01)00496-4

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