The results of numerical simulation of the neutron
generation process in the cone lead targets exposed to
laser irradiation are presented. The experimental time
dependence of the target shell is used as a boundary condition
for the hydrodynamic equations. Deuterium compression is
calculated on the assumption that some part of the shell
that continues to move inward onto the conical target is
decelerated by deuterium in the absence of the reactive
force. The behavior of deuterium is described by the 2D
equations of two temperature gas dynamics with the electron
and ion contributions to the heat conduction taken into
account. The behavior of lead is described by the 2D equations
of gas dynamics closed by the real wide range equation
of state (EOS). The neutron yield in the experiments under
discussion is caused by short duration steep rises of the
ion temperature generated by the collapse of the heading
shock wave and the first reflected one. The stage of adiabatic
compression of the high-temperature plasma was lacking
in the experiment due to the small mass of the shell.