Abstract
Dynamics of weak finite-amplitude perturbations in two-phase homogeneous medium (gas + solid particles) with nonequilibrium chemical reaction in gas is studied theoretically. Weakly non-linear model of plane perturbation evolution is substantiated by the instrumentality of asymptotic approach. The model takes into account wave-kinetic interaction and dissipation effects, including inter-phase heat and momentum transfer. Stability conditions for uniform state of the system are analyzed. Non-linear equation describing evolution of plane perturbations is derived under weak dispersion and dissipation effects. Solutions of evolution equation are obtained numerically in form of steady-state oscillations. Its parameters are determined by effect of nonlinearity and by relation between dissipative property of two-phase medium and given modeling characteristics of kinetics of reaction
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