Theory of propagation of slow heat waves in a catalytic bed in a reversible reaction

We have performed a qualitative and numerical analysis of the simplest model of slow heat waves propagating in a fixed catalytic bed in the presence of a first-order reversible reaction. A one-parameter family of autowave solutions subject to the boundary conditions of the problem is shown to exist. From the continuum of solutions, one can choose a unique physically reasonable solution that is a slow heat wave. The existence conditions for slow heat waves and the effect of the model parameters on the velocity of their propagation have been studied.