  Mathematical model of heavy and superheavy nuclei production in intensive
pulsed neutron fluxes of explosive process is developed. The pulse character of
the process allows dividing it in time into two stages: very short rapid
process of multiple neutron captures with higher temperature and very intensive
neutron fluxes, and relatively slower process with lower temperature and
neutron fluxes. The model was also extended for calculation of the transuranium
yields in nuclear explosions takes into account the adiabatic character of the
process, the probabilities of delayed fission, and the emission of delayed
neutrons. Also the binary starting target isotopes compositions were included.
Calculations of heavy transuranium and transfermium nuclei production were made
for Mike, Par and Barbel experiments, performed in USA. It is shown that the
production of transfermium neutron-rich nuclei and superheavy elements with A ~
295 is only possible in case of binary mixture of starting isotopes with the
significant addition of heavy components, such as long-lived isotopes of
curium, or californium.
