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Development of a new kind of ram accelerators with a high explosive layer is strictly connected with the research into combustion of high-energetic materials. In the paper there is presented mathematical model of ignition and combustion of PETN layer caused by propagating gaseous detonation. The model is based on the previous experimental research which allowed estimating basic features of the process e.g. activation energy of the explosive. The model was applied in numerical simulation. Computations and experimental data showed good qualitative agreement.