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Original Articles

Exact Time Dependent Solutions to (1+1) Fokker-Planck Equation via Linearizing Transformations to the Itô Equations

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Pages 211-221 | Published online: 21 Jan 2013
 

Abstract

It is shown that invertible linearizing transformations of the one-dimensional Ito stochastic differential equations cast the associated Fokker-Planck equation to the heat equation. This leads to the time-dependent exact solutions to the Fokker-Planck equations via inverse transformations. To obtain the linearizing transformations of the Ito stochastic differential equation we have extended Gard’s theorem to the time-dependent case.

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