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Exact Kink Solitons in Skyrme Crystals

Mathematical Physics 2014-06-19 v2 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1312.2479,
  title  = {Exact Kink Solitons in Skyrme Crystals},
  author = {Shouxin Chen and Yijun Li and Yisong Yang},
  journal= {arXiv preprint arXiv:1312.2479},
  year   = {2014}
}