  We consider theoretically the effect of an inhomogeneous magnetoelectric
coupling on the magnon-induced dynamics of a ferromagnet. The magnon-mediated
magnetoelectric torque affects both the homogeneous magnetization and
magnon-driven domain wall motion. In the domains, we predict a reorientation of
the magnetization, controllable by the applied electric field, which is almost
an order of magnitude larger than that observed in other physical systems via
the same mechanism. The applied electric field can also be used to tune the
domain wall speed and direction of motion in a linear fashion, producing domain
wall velocities several times the zero field velocity. These results show that
multiferroic systems offer a promising arena to achieve low-dissipation
magnetization rotation and domain wall motion by exciting spin-waves.
