Effects of transport memory and nonlinear damping in a generalized Fisher's equation.
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.
Abramson
G
G
Center for Advanced Studies and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA. abramson@cab.cnea.gov.ar
Bishop
A R
AR
Kenkre
V M
VM