  We have studied the ordering kinetics of a two-dimensional anisotropic
Swift-Hohenberg (SH) model numerically. The defect structure for this model is
simpler than for the isotropic SH model. One finds only dislocations in the
aligned ordering striped system. The motion of these point defects is strongly
influenced by the anisotropic nature of the system. We developed accurate
numerical methods for following the trajectories of dislocations. This allows
us to carry out a detailed statistical analysis of the dynamics of the
dislocations. The average speeds for the motion of the dislocations in the two
orthogonal directions obey power laws in time with different amplitudes but the
same exponents. The position and velocity distribution functions are only
weakly anisotropic.
