Exact Kink Solitons in Skyrme Crystals

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 Bogomolnyi-Prasad-Sommerfield type and precisely known.

11.27.+d
Skyrme model: classical
dimension: 1
soliton
kink
finite energy
domain wall
crystal
BPS

References(36)

Figures(0)

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