  We show that every gradient shrinking soliton of the generalized Ricci flow
on compact manifold is a Ricci soliton. And we prove that the pluriclosed
soliton is gradient Kahler-Ricci soliton under a broad cohomological condition.
Moreover, we construct the first example of non-trivial shrinking generalized
soliton, which can serve as a singularity model of the generalized Ricci flow.
