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TMF, 2019, Volume 201, Number 3, Pages 337–346 (Mi tmf9770)  

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

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).


DOI: https://doi.org/10.4213/tmf9770

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English version:
Theoretical and Mathematical Physics, 2019, 201:3, 1701–1709

PACS: 02.30.Ik 02.40.−k 11.15.−q
MSC: 37K10; 37K15; 37K25; 35Q75
Received: 01.07.2019
Revised: 01.07.2019

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
\Bibitem{Bog19}
\by L.~V.~Bogdanov
\paper Matrix extension of the~Manakov--Santini system and an~integrable chiral model on an~Einstein--Weyl background
\jour TMF
\yr 2019
\vol 201
\issue 3
\pages 337--346
\mathnet{http://mi.mathnet.ru/tmf9770}
\crossref{https://doi.org/10.4213/tmf9770}
\transl
\jour Theoret. and Math. Phys.
\yr 2019
\vol 201
\issue 3
\pages 1701--1709
\crossref{https://doi.org/10.1134/S0040577919120031}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85077588700}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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