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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 205, Number 1, Pages 41–54
DOI: https://doi.org/10.4213/tmf9926 (Mi tmf9926) 		 
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
Full-text PDF (445 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf9926
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0033-2019-0006
This research was performed in the framework of State Assignment Topic 0033-2019-0006 (Integrable systems of Mathematical Physics).
Received: 28.04.2020
Revised: 06.05.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 205, Issue 1, Pages 1279–1290
DOI: https://doi.org/10.1134/S0040577920100037
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik 02.40.−k 11.15.−q
MSC: 37K10; 37K15; 37K25; 35Q75
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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