论文标题
反应交叉扩散系统中的精确传播波解
Exact Propagating Wave Solutions in Reaction Cross-Diffusion System
论文作者
论文摘要
除了通常的自扩散外，具有交叉扩散术语的反应扩散系统表现出有趣的特征，可以激发他们的进一步研究。目前的工作旨在设计一个以繁殖前线的形式设计的玩具反应 - 交叉扩散模型。我们提出了一个最小的这种模型，涉及两个通过交叉扩散链接的物种，其中一个由线性方程支配，另一个具有多项式动力学项。我们对产生的精确传播前溶液进行了分类。其中一些具有Fisher-KPP前部的某些特征，以及ZFK-Nagumo前部的某些功能。
Reaction-diffusion systems with cross-diffusion terms in addition to, or instead of, the usual self-diffusion demonstrate interesting features which motivate their further study. The present work is aimed at designing a toy reaction-cross-diffusion model with exact solutions in the form of propagating fronts. We propose a minimal model of this kind which involves two species linked by cross-diffusion, one of which governed by a linear equation and the other having a polynomial kinetic term. We classify the resulting exact propagating front solutions. Some of them have some features of the Fisher-KPP fronts and some features of the ZFK-Nagumo fronts.
