Andrey Levin, Mikhail Olshanetsky, Andrei Zotov, “Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation”, Journal of Physics A: Mathematical and Theoretical, 2016, Volume 49, Issue 39, 395202, 26 pp.

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Journal of Physics A: Mathematical and Theoretical, 2016, Volume 49, Issue 39, 395202, 26 pp.
DOI: https://doi.org/10.1088/1751-8113/49/39/395202 (Mi jpha4)

This article is cited in 12 scientific papers (total in 12 papers)

Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation

Andrey Levin^ab, Mikhail Olshanetsky^bcd, Andrei Zotov^bce

^a NRU HSE, Department of Mathematics, Myasnitskaya str. 20, Moscow, 101000, Russia
^b ITEP, B. Cheremushkinskaya str. 25, Moscow, 117218, Russia
^c MIPT, Inststitutskii per. 9, Dolgoprudny, Moscow region, 141700, Russia
^d IITP (Kharkevich Institute) RAS, Bolshoy Karetny per. 19, Moscow, 127994, Russia
^e Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, Moscow, 119991, Russia

Citations (12)

DOI: https://doi.org/10.1088/1751-8113/49/39/395202

Funding agency	Grant number
Russian Foundation for Basic Research	15-31-20484 15-51-52031
Simons Foundation
The work was supported by an RFBR grant 15-31-20484 mol_a_ved and by the joint project 15-51-52031 HHCa. The work of A Levin was partially supported by the Department of Mathematics NRU HSE, the subsidy granted to the HSE by the Government of the Russian Federation for the implementation of the Global Competitiveness Program, and by the Simons Foundation.

Received: 02.04.2016
Revised: 28.05.2016
Accepted: 14.06.2016

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Document Type: Article

Language: English

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https://www.mathnet.ru/eng/jpha4

Related presentations:

Quantum $R$ -matrices and associative Yang–Baxter equation in classical integrable systems
A. V. Zotov, November 16, 2016 11:00

This publication is cited in the following 12 articles:

K. R. Atalikov, A. V. Zotov, “Gauge equivalence of $1+1$ Calogero–Moser–Sutherland field theory and a higher-rank trigonometric Landau–Lifshitz model”, Theoret. and Math. Phys., 219:3 (2024), 1004–1017
K. R. Atalikov, A. V. Zotov, “Higher-rank generalization of the 11-vertex rational $R$ -matrix: IRF–vertex relations and the associative Yang–Baxter equation”, Theoret. and Math. Phys., 216:2 (2023), 1083–1103
K. Atalikov, A. Zotov, “Gauge equivalence between 1 + 1 rational Calogero–Moser field theory and higher rank Landau–Lifshitz equation”, JETP Letters, 117:8 (2023), 630–634
K. Atalikov, A. Zotov, “Higher rank 1 + 1 integrable landauвђ“lifshitz field theories from the associative yangвђ“baxter equation”, JETP Letters, 115:12 (2022), 757–762
E. Trunina, A. Zotov, “Lax equations for relativistic $\mathrm{G}\mathrm{L}(NM,\mathbb{C})$ Gaudin models on elliptic curve”, J. Phys. A, 55:39 (2022), 395202–31
E. S. Trunina, A. V. Zotov, “Multi-pole extension of the elliptic models of interacting integrable tops”, Theoret. and Math. Phys., 209:1 (2021), 1331–1356
A. V. Zotov, “Relativistic interacting integrable elliptic tops”, Theoret. and Math. Phys., 201:2 (2019), 1565–1580
M. Vasilyev, A. Zotov, “On factorized Lax pairs for classical many-body integrable systems”, Rev. Math. Phys., 31:6 (2019), 1930002–45
T. Krasnov, A. Zotov, “Trigonometric Integrable Tops from Solutions of Associative Yang–Baxter Equation”, Ann. Henri Poincaré, 20:8 (2019), 2671–2697
A. Grekov, I. Sechin, A. Zotov, “Generalized model of interacting integrable tops”, JHEP, 2019:10 (2019), 81–33
A. V. Zotov, “Calogero–Moser model and $R$ -matrix identities”, Theoret. and Math. Phys., 197:3 (2018), 1755–1770
A. Zotov, “Relativistic elliptic matrix tops and finite Fourier transformations”, Modern Phys. Lett. A, 32:32 (2017), 1750169–22

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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