Effects of Transport Memory and Nonlinear Damping in a Generalized Fisher's Equation

Preprint

19 July 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.nlin/0107043

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 alternate generalization procedures.

Keywords

EFFECTS OF TRANSPORT
NONLINEAR DAMPING
FISHER'S EQUATION
TRANSPORT MEMORY
TRAVELING WAVE
MEMORY EFFECTS
NONLINEARITY
DIFFUSION

All Related Versions

Version 1, 2001-07-19, ArXiv
Published version: Physical Review E, 64 (6), 066615.

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