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