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Soliton Solutions of the Integrable Chiral Model in (2+1) Dimensions

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Solitons

Part of the book series: CRM Series in Mathematical Physics ((CRM))

Abstract

We present soliton and soliton-antisoliton solutions for the integrable chiral model in (2 + 1) dimensions with nontrivial (elastic) scattering. These solutions can be obtained either as the limiting cases of the ones already constructed by Ward or by adapting Uhlenbeck’s method.

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References

  1. R. S. Ward, J. Math. Phys. 29 (1985), 386.

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  2. K. Uhlenbeck, J. Diff. Geom. 30 (1989), 1.

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  3. T. Ioannidou and W. J. Zakrzewski, Durham preprint, 1997.

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  4. T. Ioannidou, J. Math. Phys. 37 (1996), 3422.

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  5. R. S. Ward, Phys. Lett. A 208 (1995), 203.

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© 2000 Springer Science+Business Media New York

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Ioannidou, T. (2000). Soliton Solutions of the Integrable Chiral Model in (2+1) Dimensions. In: MacKenzie, R., Paranjape, M.B., Zakrzewski, W.J. (eds) Solitons. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1254-6_11

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  • DOI: https://doi.org/10.1007/978-1-4612-1254-6_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7063-8

  • Online ISBN: 978-1-4612-1254-6

  • eBook Packages: Springer Book Archive

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