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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)
References:
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:
    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:260
    Full-text PDF :89
    References:27
    First page:9
     
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