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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 201, Number 3, Pages 337–346
DOI: https://doi.org/10.4213/tmf9770 (Mi tmf9770) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Matrix extension of the Manakov–Santini system and an integrable chiral model on an Einstein–Weyl background

L. V. Bogdanov

Landau Institute for Theoretical Physics, RAS, Moscow, Russia
Full-text PDF (406 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9770
Abstract: We introduce an integrable matrix extension of the Manakov–Santini system and show that it describes a $(2+1)$-dimensional integrable chiral model in the Einstein–Weyl space. We apply a dressing scheme for the extended Manakov–Santini system and define an extended hierarchy. We also consider a matrix extension of a Toda-type system associated with another local form of the Einstein–Weyl geometry.
Keywords: Manakov–Santini system, Einstein–Weyl geometry, integrable chiral model, dispersionless integrable system.
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: 01.07.2019
Revised: 01.07.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 201, Issue 3, Pages 1701–1709
DOI: https://doi.org/10.1134/S0040577919120031
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, “Matrix extension of the Manakov–Santini system and an integrable chiral model on an Einstein–Weyl background”, TMF, 201:3 (2019), 337–346; Theoret. and Math. Phys., 201:3 (2019), 1701–1709
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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