  Alfven waves are transverse magneto-hydrodynamic waves resulting from motion
of a conducting fluid in direction perpendicular to an applied magnetic field,
that propagate along the magnetic field direction. I propose that Alfven-like
waves can propagate along normal-superconductor phase boundaries in the
presence of a magnetic field. This requires charge flow and backflow across the
normal-superconductor phase boundary when the boundary moves, which is
predicted by the theory of hole superconductivity but not by the conventional
theory of superconductivity. The magnetic field and the domain wall energy
provide elasticity, and the normal charge carriers' effective mass provides
inertia. It is essential that the normal state charge carriers are holes. I
propose an experimental search for Alfven-like waves in superconductors.
