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

The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlo- cal nonlinear drift term is reduced to a similar problem for the correspondent linear equa- tion. 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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