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Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity

Alexander V. Shapovalov·Roman O. Rezaev·Andrey Yu. Trifonov
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Abstract

The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear and nonlinear Fokker-Plank-Kolmogorov equations is considered. Illustrative examples of the one-dimensional symmetry operators are presented.

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Alexander V. Shapovalov, Roman O. Rezaev, Andrey Yu. Trifonov. 2007-01-05. Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity. https://doi.org/10.3842/sigma.2007.005

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