  We study the reflection of magnons from a D5-brane in the framework of the
AdS/CFT correspondence. We consider two possible orientations of the D5-brane
with respect to the reference vacuum state, namely vacuum states aligned along
"vertical" and "horizontal" directions. We show that the reflections are of the
achiral type. We also show that the reflection matrices satisfy the boundary
Yang-Baxter equations for both orientations. In the horizontal case the
reflection matrix can be interpreted in terms of a bulk S-matrix, S(p, -p), and
factorizability of boundary scattering therefore follows from that of bulk
scattering. Finally, we solve the nested coordinate Bethe ansatz for the system
in the vertical case to find the Bethe equations. In the horizontal case, the
Bethe equations are of the same form as those for the closed string.
