Anomalous diffusion and anisotropic nonlinear Fokker–Planck equation

We analyse a N-dimensional anisotropic nonlinear Fokker–Planck equation by considering stationary and time-dependent solutions. The stationary solutions are obtained for very general situations, including those when the diffusion coefficients are spatial dependents. Time-dependent solutions are found in the absence of external force and with constant diffusion coefficients. When restricted to the bi-dimensional case, our investigation about time-dependent solutions focuses on situations where the diffusion coefficient are Dx∝x−θx and Dy∝y−θy with . In general, we verify an anomalous behavior induced in a given direction due to the other directions.