  We look at properties of vortex solutions of the extended CP^N Skyrme-Faddeev
model. We show that only holomorphic solutions of the CP^N model are also
solutions of the Skyrme-Faddeev model. As the total energy of these solutions
is infinite these solutions should be interpreted as describing time dependent
vortices. We describe their dynamics and, in partcular, point out that one of
the terms in the energy density is related to the Noether charge of the model.
