Skip to main content
Log in

Model with solitons in (2+1) dimensions

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

We consider various models in (2+1) dimensions which possess soliton-like solutions. We discuss the additional terms that must be added to the conventionalS 2 model in order that its solutions are stable and so can be treated as solitons. The role of various terms is analysed and some properties of the solitonic solutions are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R.S. Ward: Nonlinearity 1 (1988) 671

    Google Scholar 

  2. A.A. Belavin, A.M. Polyakov: JETP Lett. 22 (1975) 245

    Google Scholar 

  3. G. Woo: J. Math. Phys. 18 (1977) 1264

    Google Scholar 

  4. R.A. Leese, M. Peyrard, W.J. Zakrzewski: Nonlinearity 3 (1990) 387

    Google Scholar 

  5. R.A. Leese: Nucl. Phys. B344 (1990) 33

    Google Scholar 

  6. R.A. Leese, M. Peyrard, W.J. Zakrzewski: Nonlinearity 3 (1990) 773

    Google Scholar 

  7. T.H.R. Skyrme: Proc. R. Soc. A260 (1961) 127

    Google Scholar 

  8. E. Witten; Nucl. Phys. B223 (1983) 433; G. Adkins, C. Nappi, E. Witten: Nucl. Phys. B 228 (1983) 552

    Google Scholar 

  9. J.A. de Azcárraga, M.S. Rashid, W.J. Zakrzewski: Skyrme-like and topological terms in sigma models. J. Math. Phys. to appear (1991)

  10. M. Peyrard, B. Piette, W.J. Zakrzewski: Soliton scattering in the Skyrme model in (2+1) dimensions 1 and 2. Durham University preprints DTP-90/37 and 39 (1990)

  11. D. Tchrakian: private communication

  12. B. Piette, W.J. Zakrzewski: in preparation

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Izquierdo, J.M., Rashid, M.S., Piette, B. et al. Model with solitons in (2+1) dimensions. Z. Phys. C - Particles and Fields 53, 177–182 (1992). https://doi.org/10.1007/BF01483887

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01483887

Keywords

Navigation