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

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 ex...

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Bibliographic Details
Published in:arXiv.org 2007-01
Main Authors: Shapovalov, Alexander V, Rezaev, Roman O, Andrey Yu Trifonov
Format: Article
Language:English
Subjects:
Cauchy problems
Linear equations
Nonlinear equations
Nonlinearity
Operators
Symmetry
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0701012