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N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients

L. C. Malacarne·R. S. Mendes·I. T. Pedron·E. K. Lenzi
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Abstract

An $N$-dimensional nonlinear Fokker-Planck equation is investigated here by considering the time dependence of the coefficients, where drift-controlled and source terms are present. We exhibit the exact solution based on the generalized gaussian function related to the Tsallis statistics. Furthermore, we show that a rich class of diffusive processes, including normal and anomalous ones, can be obtained by changing the time dependence of the coefficients.

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L. C. Malacarne, R. S. Mendes, I. T. Pedron, E. K. Lenzi. 2002-02-19. N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients. https://doi.org/10.1103/physreve.65.052101

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