Solitary traveling waves in a heterogeneous medium with a chemical reaction

A correct method for constructing autowave solutions is proposed for single -temperature models of unsteady processes in a dissipative:medium with Arrh enius type chemical reactions. It is based on extending the temperature ran ge to 0 K and using the Kolmogorov-Petrovskii-Piskunov approach. Solutions that are not inconsistent with the Nernst theorem are selected from the obt ained finite spectrum of autowave solutions. For a quasihomogeneous model o f gas filtration in a dissipative heterogeneous medium with a single irreve rsible chemical reaction, such an autowave solution is unique. A nondimensi onal parameter is found whose critical value for the selected Zel'dovich nu mber defines the existence condition for this self-similar solution. A crit erion is obtained for the initial temperature range in which the chemical t ransformations in the reaction are negligibly small for autowave processes.