  The dynamics of current-induced motion of a magnetic domain wall in a
quasi-one-dimensional ferromagnet with both easy-axis and easy-plane
anisotropy, is studied. We pay a special attention to the case of a sharp
domain wall, and calculate the spin torque created by the electric current. The
torque has two components, one of which is acting as a driving force for the
motion of the domain wall while the other distorts its shape, forcing thus the
magnetic moments to deviate from the easy plane.
