Effects of transport memory and nonlinear damping in a generalized Fisher’s equation
- 26 November 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (6) , 066615
- https://doi.org/10.1103/physreve.64.066615
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 alternative generalization procedures.Keywords
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