  In this paper, we consider a reaction-diffusion system describing the
propagation of flames under the assumption of ignition-temperature kinetics and
fractional reaction order. It was shown in [3] that this system admits a
traveling front solution. In the present work, we show that this traveling
front is unique up to translations. We also study some qualitative properties
of this solution using the combination of formal asymptotics and numerics. Our
findings allow conjecture that the velocity of the propagation of the flame
front is a decreasing function of all of the parameters of the problem:
ignition temperature, reaction order and an inverse of the Lewis number.
