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

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

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Guillermo Abramson, Alan R. Bishop, V. M. Kenkre. 2001-07-18. Effects of Transport Memory and Nonlinear Damping in a Generalized Fisher's Equation. https://doi.org/10.1103/physreve.64.066615

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