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arXiv 2001-07-18 DOI 10.1103/PhysRevE.64.066615 0 views

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

Abramson, Guillermo · Bishop, Alan R. · Kenkre, V. M.

Original · EN

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.

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