  We investigate shock waves in the unitary Fermi gas by using the
zero-temperature equations of superfluid hydrodynamics. We obtain analytical
solutions for the dynamics of a localized perturbation of the uniform gas.
These supersonic bright and subsonic dark solutions produce, after a transient
time, an extremely large (divergent) density gradient: the shock. We calculate
the time of formation of the shock and also simulate the space-time behavior of
the waves by solving generalized hydrodynamic equations, which include a
reliable dispersive regularization of the shock. We find that the shock spreads
into wave ripples whose properties crucially depend on the chosen initial
configuration.
