Effects of transport memory and nonlinear damping in a generalized Fisher's equation.

@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}
}
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.