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We develop the physical model and the system of equations for the impulseneutron source (INS) of high-energy neutrons ($\sim$14 MeV) emitted by fusionreactions during compression of D-T gas by cumulative detonation waves. Thesystem of INS equations includes a system of gas dynamic equations that takesinto account the energy transfer by radiation, equations for the radiationflux, the equation of the shock adiabat (the Hugoniot adiabat) for a compressedgas, and the equation for the neutron yield. We perform the INS dynamicssimulation for the spherical and cylindrical geometries, and calculate maximumtemperatures of D-T plasma, its density and neutron yield in the pulse. Theobtained temperature estimates and simulation results show that thethermonuclear fusion temperatures are reached within this approach, and thefusion reactions proceed. Their yield determines the yield of neutrons.

Impulse source of high energy neutrons emitted by fusion reactions after compression of D-T gas by cumulative detonation waves