Matrix extension of the Manakov-Santini system and integrable chiral model on Einstein-Weyl background
Exactly Solvable and Integrable Systems
2021-06-01 v1 Mathematical Physics
math.MP
Abstract
It was demonstrated recently [Dunajski, Ferapontov and Kruglikov (2014)] that the Manakov-Santini system describes a local form of general Lorentzian Einstein-Weyl geometry. We introduce integrable matrix extension of the Manakov-Santini system and show that it describes (2+1)-dimensional integrable chiral model in Einstein-Weyl space. We develop a dressing scheme for the extended MS system and define an extended hierarchy. Matrix extension of Toda type system connected with another local form of Einstein-Weyl geometry is also considered.
Keywords
Cite
@article{arxiv.1907.01964,
title = {Matrix extension of the Manakov-Santini system and integrable chiral model on Einstein-Weyl background},
author = {L. V. Bogdanov},
journal= {arXiv preprint arXiv:1907.01964},
year = {2021}
}
Comments
11 pages