Problem of a strong explosion in a weakly compressible medium

The problem of one-dimensional motions of an inviscid non-heat-conducting polytropic gas, which arises in the description of endothermal combustion-type physical processes, is considered. The medium is assumed to be weakly compressible (the adiabatic exponent is much greater than unity). The gas motion is initiated by a point (explosive) energy release. The goal of the paper is to derive approximate equations that describe the dynamics of strong explosions.