  We introduce a consistent ansatz for the baby Skyrme model in
(2+1)-dimensions which is able to reduce the complete set of field equations to
just one equation for the profile function in situations in which the baby
baryon charge can be arbitrary. Many analytic solutions both with and without
the inclusion of the effects of the minimal coupling with the Maxwell field are
constructed. Linear stability and other physical properties are discussed.
These analytic gauged baby Skyrmions generate a persistent $U(1)$ current which
cannot be turned off continuously as it is tied to the topological charge of
the baby Skyrmions themselves. In the simplest non-trivial case of a gauged
baby Skyrmion, a very important role is played by the Mathieu equation with an
effective coupling constant which can be computed explicitly. These
configurations are a very suitable arena to test resurgence in a non-integrable
context.

High Energy Physics - Theory