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.
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This research was performed in the framework of State Assignment Topic 0033-2019-0006 (Integrable systems of Mathematical Physics).
Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 201, No. 3, pp. 337–346, December, 2019.
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Bogdanov, L.V. Matrix Extension of the Manakov-Santini System and an Integrable Chiral Model on an Einstein-Weyl Background. Theor Math Phys 201, 1701–1709 (2019). https://doi.org/10.1134/S0040577919120031
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DOI: https://doi.org/10.1134/S0040577919120031