On the variety of traveling fronts in one-variable multistable reaction-diffusion systems

被引：4

作者：

Leda, Marcin ^{[1
]}

Kawczynski, Andrzej L. ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Phys Chem, PL-01224 Warsaw, Poland

来源：

JOURNAL OF PHYSICAL CHEMISTRY A | 2006年 / 110卷 / 25期

关键词：

PROPAGATING FRONTS; KINETICS; WAVES;

D O I：

10.1021/jp062292h

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The still-open problem of the variety of asymptotic solutions to one-variable, one-dimensional infinite multistable reaction-diffusion systems is solved. We show that in such systems, besides monotonic traveling fronts, nonmonotonic traveling fronts can exist for appropriate initial conditions. The dependence of numbers of various types of traveling fronts on the number of stable stationary states also is given. Examples of traveling fronts for the chemical model describing two enzymatic (catalytic) reactions inhibited by an excess of their reactant is presented.

引用

页码：7882 / 7887

页数：6

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