  We propose a protocol for creating moving, robust dispersive shock waves in
interacting one-dimensional Bose fluids. The fluid is prepared in a moving
state by phase imprinting and sent against the walls of a box trap. We
demonstrate that the thus formed shock wave oscillates for several periods and
is robust against thermal fluctuations. We show that this large amplitude
dynamics is universal across the whole spectrum of the interatomic interaction
strength, from weak to strong interactions, and it is fully controlled by the
sound velocity inside the fluid. Our work provides a generalization of the
dispersive-shock-wave paradigm to the many-body regime. The shock waves we
propose are within reach for ultracold atom experiments.
