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On Bogomolny Decompositions for the Baby Skyrme Models

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Book cover Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

Abstract

We derive the Bogomolny decompositions (Bogomolny equations) for the baby Skyrme models: restricted (also called, as extreme or pure baby Skyrme model), and full one, in (2+0) dimensions, by using so-called, concept of strong necessary conditions.

Mathematics Subject Classification (2010). 35Q51, 37K10, 37K40.

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Author information

Authors and Affiliations

  1. Chair of Computer Science and Computer Methods, The Pedagogical University of Cracow, ul. Podchorazych 2, PL-30-084, Krakow, Poland

    Ł. T. Stępień

Authors
  1. Ł. T. Stępień
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Correspondence to Ł. T. Stępień .

Editor information

Editors and Affiliations

  1. Departamento de Física, CINVESTAV, Mexico City, Distrito Federal, Mexico

    Piotr Kielanowski

  2. Dept. of Mathematics and Statistics, Concordia University, Montreal, Québec, Canada

    S. Twareque Ali

  3. Department of Mathematics - MC J415, Brock University, St. Catharines, Ontario, Canada

    Alexander Odesskii

  4. Institute of Mathematics, University of Bialystok, Bialystok, Poland

    Anatol Odzijewicz

  5. Mathematics Research Unit, FSTC, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg

    Martin Schlichenmaier

  6. School of Mathematics, University of Manchester, Manchester, United Kingdom

    Theodore Voronov

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Stępień, Ł.T. (2013). On Bogomolny Decompositions for the Baby Skyrme Models. In: Kielanowski, P., Ali, S., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0645-9_22

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