Semilocal self-dual Chern-Simons solitons

We consider a nonrelativistic Chern-Simons theory of planar matter fields interacting with the Chern-Simons gauge held in a SU(N)(global)xU(1)(local) invariant fashion. We find that this model admits static zero-energy self-dual soliton solutions. We also present a set of exact soliton solutions. The exact time-dependent solutions are also obtained, when this model is considered in the background of an external uniform magnetic field.