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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 201, Number 2, Pages 175–192
DOI: https://doi.org/10.4213/tmf9767 (Mi tmf9767) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Relativistic interacting integrable elliptic tops

A. V. Zotov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (547 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9767
Abstract: We propose a relativistic generalization of integrable systems describing $M$ interacting elliptic $gl(N)$ Euler–Arnold tops. The obtained models are elliptic integrable systems that reproduce the spin elliptic $GL(M)$ Ruijsenaars–Schneider model with $N=1$ and relativistic integrable $GL(N)$ elliptic tops with $M=1$. We construct the Lax pairs with a spectral parameter on the elliptic curve.
Keywords: elliptic integrable system, spin Ruijsenaars–Schneider model, integrable top.
Funding agency Grant number
Russian Science Foundation 19-11-00062
This research is supported by a grant from the Russian Science Foundation (Project No. 19-11-00062).
Received: 01.07.2019
Revised: 01.07.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 201, Issue 2, Pages 1565–1580
DOI: https://doi.org/10.1134/S0040577919110035
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Zotov, “Relativistic interacting integrable elliptic tops”, TMF, 201:2 (2019), 175–192; Theoret. and Math. Phys., 201:2 (2019), 1565–1580
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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