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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 005, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.005 (Mi sigma131) 		 
This article is cited in 9 scientific papers (total in 9 papers)

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

Alexander V. Shapovalova, Roman O. Rezaevb, Andrey Yu. Trifonovb

a Theoretical Physics Department, Tomsk State University, 36 Lenin Ave., 660050, Tomsk, Russia
b Laboratory of Mathematical Physics, Mathematical Physics Department, Tomsk Polytechnical University, 30 Lenin Ave., 660034, Tomsk, Russia
Full-text PDF (271 kB) Citations (9)
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DOI: https://doi.org/10.3842/SIGMA.2007.005
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.
Keywords: symmetry operators; Fokker–Plank–Kolmogorov equation; nonlinear partial differential equations.
Received: October 11, 2006; in final form December 9, 2006; Published online January 5, 2007
Bibliographic databases:
Document Type: Article
MSC: 35Q58; 37J15
Language: English
Citation: Alexander V. Shapovalov, Roman O. Rezaev, Andrey Yu. Trifonov, “Symmetry Operators for the Fokker–Plank–Kolmogorov Equation with Nonlocal Quadratic Nonlinearity”, SIGMA, 3 (2007), 005, 16 pp.
Citation in format AMSBIB
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\by Alexander V.~Shapovalov, Roman O.~Rezaev, Andrey Yu.~Trifonov
\paper Symmetry Operators for the Fokker--Plank--Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
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\yr 2007
\vol 3
\papernumber 005
\totalpages 16
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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