Effects of Transport Memory and Nonlinear Damping in a Generalized Fisher's Equation
Pattern Formation and Solitons
2009-11-07 v1 Statistical Mechanics
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
Cite
@article{arxiv.nlin/0107043,
title = {Effects of Transport Memory and Nonlinear Damping in a Generalized Fisher's Equation},
author = {Guillermo Abramson and Alan R. Bishop and V. M. Kenkre},
journal= {arXiv preprint arXiv:nlin/0107043},
year = {2009}
}
Comments
6 pages, 4 figures, RevTeX 4