Symmetry Reductions of the Skyrme-Faddeev Model
In the present article we perform the symmetry analysis of the Skyrme-Faddeev system at the level of point symmetries. We provide a new simple approximate expression for the axisymmetric solutions, with an accuracy of 10?4 in the static energy value. Furthermore, we proceed to a reduction with respect to all discrete Platonic rotation subgroups, providing the equation for the radial profile function.
skyrme-faddeev model lie symmetry groups vortices