Matrix Extension of the Manakov-Santini System and an Integrable Chiral Model on an Einstein-Weyl Background
- Authors: Bogdanov L.V.1
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Affiliations:
- Landau Institute for Theoretical Physics
- Issue: Vol 201, No 3 (2019)
- Pages: 1701-1709
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/172591
- DOI: https://doi.org/10.1134/S0040577919120031
- ID: 172591
Cite item
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.
About the authors
L. V. Bogdanov
Landau Institute for Theoretical Physics
Author for correspondence.
Email: leonid@itp.ac.ru
Russian Federation, Moscow