  We consider the structure of multi-meron knot action in the Yang-Mills theory
and in the CP^1 Ginzburg-Landau model. Self-dual equations have been obtained
without identifying orientations in the space-time and in the color space. The
dependence of the energy bounds on topological parameters of coherent states in
planar systems is also discussed. In particular, it is shown that a
characteristic size of a knot in the Faddeev-Niemi model is determined by the
Hopf invariant.
