title: N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients.
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.
authors.affiliation: Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo 5790, 87020-900 Maringá, PR, Brazil. lcmala@dfi.uem.br
authors.forename: L C
authors.initials: LC
authors.lastname: Malacarne
authors.forename: R S
authors.initials: RS
authors.lastname: Mendes
authors.forename: I T
authors.initials: IT
authors.lastname: Pedron
authors.forename: E K
authors.initials: EK
authors.lastname: Lenzi