  We consider semiclassically scaled, weakly nonlinear Schr\"odinger equations
with external confining potentials and additional angular-momentum rotation
term. This type of model arises in the Gross-Pitaevskii theory of trapped,
rotating quantum gases. We construct asymptotic solutions in the form of
semiclassical wave-packets, which are concentrated in both space and in
frequency around an classical Hamiltonian phase-space flow. The rotation term
is thereby seen to alter this flow, but not the corresponding classical action.
