  We study the nuclear modifications of full jets and their structures in
relativistic heavy-ion collisions including the effect of hydrodynamic medium
response to jet quenching. To study the evolutions of the full jet shower and
the traversed medium with energy and momentum exchanges between them, we
formulate a coupled jet-fluid model consisting of a set of jet transport
equations and relativistic hydrodynamics equations with source terms. In our
model, the full jet shower interacts with the medium and gets modified via
collisional and radiative processes during the propagation. Meanwhile, the
energy and momentum are deposited from the jet shower to the medium and then
evolve with the medium hydrodynamically. The full jet defined by a cone size in
the final state includes the jet shower and the particles produced from
jet-induced flow. We apply our model to calculate the full jet energy loss and
the nuclear modifications of jet rate and shape in Pb+Pb collisions at
$2.76{\rm A~TeV}$. It is found that the inclusion of jet-induced flow
contribution leads to stronger jet-cone size dependence for jet energy loss and
jet suppression. Jet-induced flow also has a significant contribution to jet
shape function and dominates at large angles away from the jet axis.
