Exact Kink Solitons in Skyrme Crystals

Abstract

We present an explicit integration of the kink soliton equation obtained in a recent interesting study of the classical Skyrme model where the field configurations are of a generalized hedgehog form which is of a domain-wall type. We also show that in such a reduced one-dimensional setting the first-order and second-order equations are equivalent. Consequently, in such a context, all finite-energy solitons are BPS type and precisely known.

References in corpus (4)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Hedgehog ansatz and its generalization for self-gravitating Skyrmions
• Non-linear superposition law and Skyrme crystals
• Exact kink solitons in a monopole confinement problem

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