  The dynamics of short intense electromagnetic pulses propagating in a
relativistic pair plasma with small temperature asymmetry is of current
interest. Such pulses were shown to be governed by a nonlinear Schrodinger
equation with a new type of focusing-defocusing nonlinearity. We provide an
existence theory and numerical analysis for a special class of solutions, known
as "ring-profiled" optical vortex solitons. Our methods include both a direct
and constrained minimization. We give a necessary condition for the existence
of nontrivial solutions and a series of interesting estimates in terms of the
relevant parameters describing the electromagnetic pulse. Additionally, we use
the constrained minimization approach and a finite element formalism to
numerically study the behavior of the profiles of soliton solutions.
