Geodesic
Ward’s solitons
Anand, Christopher1
1 Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB, United Kingdom
Geometry & topology, Tome 1 (1997) no. 1, pp. 9-20.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Using the ‘Riemann Problem with zeros’ method, Ward has constructed exact solutions to a (2 + 1)–dimensional integrable Chiral Model, which exhibit solitons with nontrivial scattering. We give a correspondence between what we conjecture to be all pure soliton solutions and certain holomorphic vector bundles on a compact surface.

DOI : 10.2140/gt.1997.1.9
Keywords: integrable system, chiral field, sigma model, soliton, monad, uniton, harmonic map

Anand, Christopher 1

1 Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB, United Kingdom 
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Anand, Christopher. Ward’s solitons. Geometry & topology, Tome 1 (1997) no. 1, pp. 9-20. doi : 10.2140/gt.1997.1.9. http://geodesic.mathdoc.fr/articles/10.2140/gt.1997.1.9/

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[4] P M Sutcliffe, Nontrivial soliton scattering in an integrable chiral model in $(2+1)$ dimensions, J. Math. Phys. 33 (1992) 2269

[5] R S Ward, Classical solutions of the chiral model, unitons, and holomorphic vector bundles, Comm. Math. Phys. 128 (1990) 319

[6] R S Ward, Nontrivial scattering of localized solitons in a $(2+1)$–dimensional integrable system, Phys. Lett. A 208 (1995) 203

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