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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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf9770https://doi.org/10.4213/tmf9770 https://www.mathnet.ru/eng/tmf/v201/i3/p337
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Abstract page: | 267 | Full-text PDF : | 22 | References: | 62 | First page: | 10 |
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