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

Alexander V. Shapovalov ; Roman O. Rezaev ; Andrey Yu. Trifonov

Symmetry, integrability and geometry: methods and applications, Tome 3 (2007)

Résumé

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.

Détail

Keywords: symmetry operators; Fokker–Plank–Kolmogorov equation; nonlinear partial differential equations.

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