  A new quantum dynamical model has been developed to describe the dissociative
ionization of deuterium molecular ions by intense laser pulses ($\tau=10$ fs,
$\lambda=200$ nm and $I=3\times10^{13}$ W/cm$^{2}$). We calculated the
ionization probability densities by solving the time-dependent Schr\"odinger
equation numerically. Throughout the simulation the nuclear vibration was
considered as a dynamic variable with fixed molecular axis orientation.
Benchmark calculations were performed for the ionization of
$\mathrm{HeH}^{++}$, for which accurate numerical results are available in the
literature, in order to check the performance of this new restricted model.
