Exact Kink Solitons in Skyrme Crystals

Dec 9, 2013
4 pages
Published in:
  • Phys.Rev.D 89 (2014) 2, 025007
  • Published: Jan 9, 2014
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Abstract: (APS)
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