In this paper we study fractional as well as semi-local Chern-Simons vortices
in G = U(1) x SO(2M) and G = U(1) x USp(2M) theories. The master equations are
solved numerically using appropriate Ansatze for the moduli matrix field. In
the fractional case the vortices are solved in the transverse plane due to the
broken axial symmetry of the configurations (i.e. they are non-rotational
invariant). It is shown that unless the fractional vortex-centers are all
coincident (i.e. local case) the ring-like flux structure, characteristic of
Chern-Simons vortices, will become bell-like fluxes - just as those of the
standard Yang-Mills vortices. The asymptotic profile functions are calculated
in all cases and the effective size is identified.Comment: LaTeX, 38 pages, 16 figures
