The existence of Bogomolny decompositions for gauged baby Skyrme models

Abstract

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.

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• On Bogomolny equations in the Skyrme model
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• Bogomolny equations for the BPS Skyrme models with impurity