TY - JOUR
T1 - Computational Study of Traveling Wave Solutions of Isothermal Chemical Systems
AU - Yuanwei Qi & Yi Zhu
JO - Communications in Computational Physics
VL - 5
SP - 1461
EP - 1472
PY - 2018
DA - 2018/04
SN - 19
DO - http://doi.org/10.4208/cicp.scpde14.38s
UR - https://global-sci.org/intro/article_detail/cicp/11138.html
KW - 
AB - <p style="text-align: justify;">This article studies propagating traveling waves in a class of reaction-diffusion
systems which model isothermal autocatalytic chemical reactions as well as microbial
growth and competition in a flow reactor. In the context of isothermal autocatalytic
systems, two different cases will be studied. The first is autocatalytic chemical reaction
of order m without decay. The second is chemical reaction of order m with a decay of
order n, where m and n are positive integers and m &gt;n≥1. A typical system in autocatalysis
is A+2B→3B and B→C involving two chemical species, a reactant A and an
auto-catalyst B and C an inert chemical species.<br/>The numerical computation gives more accurate estimates on minimum speed of
traveling waves for autocatalytic reaction without decay, providing useful insight in
the study of stability of traveling waves.<br/>For autocatalytic reaction of order m=2 with linear decay n=1, which has a particular
important role in chemical waves, it is shown numerically that there exist multiple
traveling waves with 1, 2 and 3 peaks with certain choices of parameters.</p>