  We study the quantum reflection of a two-dimensional disk-shaped
Bose-Einstein condensate with a dark-soliton excitation by a square potential
barrier. For the giving geometry, the dark-soliton initially located at the
centre of the condensate cloud survive long enough for investigating the
reflection process. We show the time evolution of the reflection probability
with respect to various width of the barrier. The asymptotic value of the
reflection probability is decreased by the existence of a dark-soliton, and is
highly sensitive to the initial orientation of the dark-soliton which also
affects the excitation properties during the process of condensate and barrier
interaction.
