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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 219, Number 3, Pages 531–544
DOI: https://doi.org/10.4213/tmf10693 (Mi tmf10693) 		 
Cosymmetries of chiral-type systems

A. V. Balandin

Institute of Information Technologies, Mathematics and Mechanics, Lobachevsky National Research State University of Nizhny Novgorod, Nizhny Novgorod, Russia
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DOI: https://doi.org/10.4213/tmf10693
Abstract: We consider chiral-type systems admitting a Lax representation with values in a real or complex semisimple Lie algebra such that an additional regularity condition is satisfied (one of the matrices is a regular element of the Lie algebra). We prove that for a chiral-type system with vanishing torsion and a nonvanishing curvature, the existence of at least one pointwise cosymmetry is a necessary condition for the regular Lax representation.
Keywords: chiral-type systems, integrable systems, Lax representation, cosymmetries.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSWR-2023-0034
This work was financially supported by the Ministry of Science and Higher Education of the Russian Federation (project No. FSWR-2023-0034) and the Scientific and Educational Mathematical Center “Mathematics of Future Technologies.”
Received: 07.02.2024
Revised: 11.03.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 219, Issue 3, Pages 992–1003
DOI: https://doi.org/10.1134/S0040577924060084
Bibliographic databases:
Document Type: Article
MSC: MSC: 35Q51, 37K10, 37K05
Language: Russian
Citation: A. V. Balandin, “Cosymmetries of chiral-type systems”, TMF, 219:3 (2024), 531–544; Theoret. and Math. Phys., 219:3 (2024), 992–1003
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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