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Effects of transport memory and nonlinear damping in a generalized Fisher's equation
G Abramson1, A R Bishop, V M Kenkre
1Center for Advanced Studies and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA. abramson@cab.cnea.gov.ar
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
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.