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  1. Rezaev R.O., Trifonov A.Y., Shapovalov A.V.
    The Einstein−Ehrenfest system of (0, M)-type and asymptotical solutions of the multidimensional nonlinear Fokker−Planck−Kolmogorov equation
    Computer Research and Modeling, 2010, v. 2, no. 2, pp. 151-160

    Semiclassical approximation formalism is developed for the multidimensional Fokker–Planck–Kolmogorov equation with non-local and nonlinear drift vector with respect to a small diffusion coefficient D, D→0, in the class of trajectory concentrated functions. The Einstein−Ehrenfest system of (0, M)-type is obtained. A family of semiclassical solutions localized around a point driven by the Einstein−Ehrenfest system accurate to O(D(M+1)/2) is found.

    Keywords: nonlinear Fokker−Planck−Kolmogorov equation, semiclassical asymptotics, WKB-Maslov method, Einstein−Ehrenfest system.
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