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26 April 2024

» arxiv » math-ph/0701012

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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 ;
Date:	5 Jan 2007
Journal:	SIGMA 3 (2007), 005, 16 pages
Subject:	Mathematical Physics
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.
Source:	arXiv, math-ph/0701012
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