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

被引：9
|
作者：
Shapovalov, Alexander V. [1 ]
Rezaev, Roman O. [2 ]
Trifonov, Andrey Yu. [2 ]
机构：
[1] Tomsk State Univ, Dept Theoret Phys, Tomsk 660050, Russia
[2] Tomsk Polytech Univ, Dept Math Phys, Phys Math Lab, Tomsk 660034, Russia
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2007年 / 3卷
关键词：
symmetry operators; Fokker-Plank-Kolmogorov equation; nonlinear partial differential equations;
D O I：
10.3842/SIGMA.2007.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：16
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