  Two-component mixtures of Bose-Einstein condensates are shown to support
solitary wave complexes that move with a constant velocity preserving their
form. I obtain the families of such solitary wave complexes in two-dimensional
two-component mixture condensates. These solutions are classified according to
the structure of the wavefunction in each component. I show that these
complexes nucleate from the surface of the disk when it moves supercritically,
therefore, suggesting a mechanism by which these waves can be obtained in
condensates by a moving laser beam. The condition for such a nucleation is
derived analytically. The flow for supercritical disk velocities is computed
numerically. The process of a boundary layer separation with emission of either
vortex pairs in each component or a vortex pair in one component and a ``slaved
wave'' in the other component is elucidated.
