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Conference publications

WKB-approximation for the Nonlinear Fokker-Planck Equation

Trifonov A. Yu., Shapovalov A. V., Rezaev R. O.

"Математика. Компьютер. Образование". Cб. трудов XVI международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2009. Vol. 2. Pp. 49-62. (accepted)

The WKB-Maslov method is applied to the nonlinear Fokker-Planck equation.

General construction of explicit analytical solutions in semiclassical WKB-approximation of the Cauchy problem is considered for the multidimensional Fokker-Planck equation with quadratic nonlocal nonlinearity and variable coefficients. Semiclassical solutions are found in the class of trajectory concentrated functions. General formula are illustrated by example.



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