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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 205, Number 3, Pages 391–399
DOI: https://doi.org/10.4213/tmf9974 (Mi tmf9974) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Commutator identities and integrable hierarchies

A. K. Pogrebkovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Skolkovo Institute of Science and Technology, Moscow, Russia
Full-text PDF (367 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9974
Abstract: The approach based on commutator identities for elements of associative algebras was previously effectively used to investigate (2+1)-dimensional integrable systems. We develop this approach to investigate integrable hierarchies and their relations.
Keywords: complete integrability, integrable hierarchy.
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: 26.08.2020
Revised: 26.08.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 205, Issue 3, Pages 1585–1592
DOI: https://doi.org/10.1134/S004057792012003X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Pogrebkov, “Commutator identities and integrable hierarchies”, TMF, 205:3 (2020), 391–399; Theoret. and Math. Phys., 205:3 (2020), 1585–1592
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9974
  • https://doi.org/10.4213/tmf9974
  • https://www.mathnet.ru/eng/tmf/v205/i3/p391
    • This publication is cited in the following 3 articles:
    1. A. K. Pogrebkov, “Nonexplicit versions of integrable equations”, Theoret. and Math. Phys., 217:3 (2023), 1907–1913  mathnet  crossref  crossref  mathscinet  adsnasa
    2. Andrei K. Pogrebkov, “Negative Times of the Davey–Stewartson Integrable Hierarchy”, SIGMA, 17 (2021), 091, 12 pp.  mathnet  crossref  mathscinet
    3. A. K. Pogrebkov, “Kadomtsev-Petviashvili hierarchy: negative times”, Mathematics, 9:16 (2021), 1988  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:303
    Full-text PDF :110
    References:38
    First page:11
     
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