  We theoretically generalize a systematic language to describe the
phase-imprinting technique to investigate the dynamical generation of solitons
in a one-dimensional Raman-type spin-orbit-coupled Fermi superfluid. We check
our method with the simulation of time-dependent Bogoliubov-de Gennes equations
and find that our method not only can generate stable dark and even gray
solitons in a conventional Fermi superfluid by controlling the transferred
phase jump but also is feasible to create a stable dark soliton in both BCS and
topological states of a spin-orbit-coupled Fermi superfluid. We also discuss
the physical implication of our method.
