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This article is cited in 1 scientific paper (total in 1 paper)
Dispersionless integrable systems and the Bogomolny equations on an Einstein–Weyl geometry background
L. V. Bogdanov Landau Institute for Theoretical Physics, RAS, Moscow, Russia
Abstract:
We obtain a dispersionless integrable system describing a local form of a general three-dimensional Einstein–Weyl geometry with a Euclidean (positive) signature, construct its matrix extension, and show that it leads to the Bogomolny equations for a non-Abelian monopole on an Einstein–Weyl background. We also consider the corresponding dispersionless integrable hierarchy, its matrix extension, and the dressing scheme.
Keywords:
dispersionless integrable system, Einstein–Weyl geometry, Bogomolny equations, Yang–Mills–Higgs equations.
Received: 28.04.2020 Revised: 06.05.2020
Citation:
L. V. Bogdanov, “Dispersionless integrable systems and the Bogomolny equations on an Einstein–Weyl geometry background”, TMF, 205:1 (2020), 41–54; Theoret. and Math. Phys., 205:1 (2020), 1279–1290
Linking options:
https://www.mathnet.ru/eng/tmf9926https://doi.org/10.4213/tmf9926 https://www.mathnet.ru/eng/tmf/v205/i1/p41
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Abstract page: | 213 | Full-text PDF : | 34 | References: | 48 | First page: | 7 |
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