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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 210, Number 3, Pages 422–429
DOI: https://doi.org/10.4213/tmf10198 (Mi tmf10198) 		 
Uniqueness of the Pohlmeyer–Lund–Regge system

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/tmf10198
Abstract: We prove that the Pohlmeyer–Lund–Regge system is, up to coordinate changes, the unique two-component variational system of chiral type with an irreducible metric that admits a Lax representation with values in the algebra $\mathfrak{so}(3)$.
Keywords: chiral-type system, integrable system, Lax representation, Pohlmeyer–Lund–Regge system.
Received: 11.11.2021
Revised: 22.11.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 210, Issue 3, Pages 368–375
DOI: https://doi.org/10.1134/S0040577922030072
Bibliographic databases:
Document Type: Article
MSC: 35Q51, 37K10, 37K05.
Language: Russian
Citation: A. V. Balandin, “Uniqueness of the Pohlmeyer–Lund–Regge system”, TMF, 210:3 (2022), 422–429; Theoret. and Math. Phys., 210:3 (2022), 368–375
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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