The existence of Bogomolny decompositions for gauged baby Skyrme models

Understand

The Bogomolny decompositions (Bogomolny equations) for the gauged baby Skyrme models: restricted and full one, in (2+0)-dimensions, are derived, for some general classes of the potentials.

• The conditions, which must be satisfied by the potentials, for each of these mentioned models, are also derived.