  Understanding the domain wall dynamics is an important issue in modern
magnetism. Here we present results of domain wall displacement in curved
cylindrical nanowires at a constant magnetic field. We show that the average
velocity of a transverse domain wall increases with curvature. Contrary to what
it is observed in stripes, in a curved wire the transverse domain wall
oscillates along and rotates around the nanowire with the same frequency. These
results open the possibility of new oscillation-based applications.
