The existence of Bogomolny decomposition for baby Skyrme models

@article{Stpie2012TheEO,
  title={The existence of Bogomolny decomposition for baby Skyrme models},
  author={Ł. T. Stȩpień},
  journal={arXiv: Mathematical Physics},
  year={2012}
}
  • Ł. Stȩpień
  • Published 27 April 2012
  • Economics
  • arXiv: Mathematical Physics
We derive the Bogomolny decompositions (Bogomolny equations) for: full baby Skyrme model and for its restricted version (so called, pure baby Skyrme model), in (2+0) dimensions, by using so called, concept of strong necessary conditions. It turns out that Bogomolny decomposition can be derived for restricted baby Skyrme model for arbitrary form of the potential term, while for full baby Skyrme model, such derivation is possible only for some class of the potentials. 
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