Effects of Transport Memory and Nonlinear Damping in a Generalized Fisher's Equation

Abstract

Memory effects in transport require, for their incorporation into reaction diffusion investigations, a generalization of traditional equations. The well-known Fisher's equation, which combines diffusion with a logistic nonlinearity, is generalized to include memory effects and traveling wave solutions of the equation are found. Comparison is made with alternate generalization procedures.

6 pages, 4 figures, RevTeX 4

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