Highly Influenced

@article{Abramson2001EffectsOT, title={Effects of transport memory and nonlinear damping in a generalized Fisher's equation.}, author={Guillermo Abramson and A. R. Bishop and V. M. Kenkre}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2001}, volume={64 6 Pt 2}, pages={066615} }

- Published 2001 in Physical review. E, Statistical, nonlinear, and…

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.