Exact travelling wave solutions of an ''integrable'' discrete reaction-diffusion equation

被引：15
|
作者：
Bressloff, PC [1 ]
Rowlands, G [1 ]
机构：
[1] UNIV WARWICK, DEPT PHYS, COVENTRY CV4 7AL, W MIDLANDS, ENGLAND
来源：
PHYSICA D-NONLINEAR PHENOMENA | 1997年 / 106卷 / 3-4期
关键词：
D O I：
10.1016/S0167-2789(97)00047-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct exact travelling wave solutions of a discrete reaction-diffusion equation describing a system of coupled bistable elements. The form of the bistable potential is chosen such that in a moving frame the waveform satisfies an integrable discrete equation that can be solved explicitly. We analyse the linear stability of the wave and study wave propagation failure in the weak coupling limit.
引用
收藏
页码：255 / 269
页数：15
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