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

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dc.creatorShapovalov, Alexander V.
dc.creatorRezaev, Roman O.
dc.creatorTrifonov, Andrey Yu.
dc.date2007-01-05
dc.date.accessioned2026-07-07T09:34:27Z
dc.date.available2026-07-07T09:34:27Z
dc.descriptionThe 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.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math-ph/0701012
dc.identifierhttp://arxiv.org/abs/math-ph/0701012
dc.identifierSIGMA 3 (2007), 005, 16 pages
dc.identifierdoi:10.3842/SIGMA.2007.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159495
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectExactly Solvable and Integrable Systems
dc.titleSymmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
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