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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 207, Number 2, Pages 188–201
DOI: https://doi.org/10.4213/tmf10027 (Mi tmf10027) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Matrix Painlevé II equations

V. E. Adlera, V. V. Sokolovab

a Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
b Federal University of ABC, Santo André, Sao Paulo, Brazil
Full-text PDF (442 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf10027
Abstract: We use the Painlevé–Kovalevskaya test to find three matrix versions of the Painlevé II equation. We interpret all these equations as group-invariant reductions of integrable matrix evolution equations, which allows constructing isomonodromic Lax pairs for them.
Keywords: Painlevé equation, Lax representation, symmetric reduction.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0029-2021-0004
Fundação de Amparo à Pesquisa do Estado de São Paulo 2018/23690-6
This research was performed under State Assignment 0029-2021-0004 of the Ministry of Science and Higher Education of the Russian Federation and was supported by Grant No. 2018/23690-6 (Brazil).
Received: 10.12.2020
Revised: 11.01.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 207, Issue 2, Pages 560–571
DOI: https://doi.org/10.1134/S0040577921050020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. E. Adler, V. V. Sokolov, “Matrix Painlevé II equations”, TMF, 207:2 (2021), 188–201; Theoret. and Math. Phys., 207:2 (2021), 560–571
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 560--571
\crossref{https://doi.org/10.1134/S0040577921050020}
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  • https://doi.org/10.4213/tmf10027
  • https://www.mathnet.ru/eng/tmf/v207/i2/p188
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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