Nonlinear diffusion equation, Tsallis formalism and exact solutions
P. C. Assis, L. R. da Silva, E. K. Lenzi, L. C. Malacarne, R. S. Mendes
Source abstract
We address this work to analyze a nonlinear diffusion equation in the presence of an absorption term taking external forces and spatial time-dependent diffusion coefficient into account. The nonlinear terms present in this equation are due to a nonlinear generalization of the Darcy law and the presence of an absorbent (source) term. We obtain new exact solutions and investigate nonlinear effects produced on the solutions by these terms. We also connect the results found here within the Tsallis formalism.
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