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

被引：58

作者：

Abramson, G ^{[1
]}

Bishop, AR

Kenkre, VM

机构：

[1] Univ New Mexico, Ctr Adv Studies, Albuquerque, NM 87131 USA

[2] Univ New Mexico, Dept Phys & Astron, Albuquerque, NM 87131 USA

[3] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[4] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[5] Ctr Atom Bariloche, Inst Balseiro, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina

[6] Consejo Nacl Invest Cient & Tecn, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina

来源：

PHYSICAL REVIEW E | 2001年 / 64卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevE.64.066615

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：6

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