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

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

2007-01-05

arxiv.org/abs/math-ph/0701012v1

SIGMA 3 (2007), 005, 16 pages

Physics

Mathematical Physics

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2007.005

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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