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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 091, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.091 (Mi sigma1773) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Negative Times of the Davey–Stewartson Integrable Hierarchy

Andrei K. Pogrebkovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Skolkovo Institute of Science and Technology, Moscow, Russia
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DOI: https://doi.org/10.3842/SIGMA.2021.091
Abstract: We use example of the Davey–Stewartson hierarchy to show that in addition to the standard equations given by Lax operator and evolutions of times with positive numbers, one can consider time evolutions with negative numbers and the same Lax operator. We derive corresponding Lax pairs and integrable equations.
Keywords: commutator identities, integrable hierarchies, reductions.
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: June 8, 2021; in final form October 1, 2021; Published online October 12, 2021
Bibliographic databases:
Document Type: Article
MSC: 37K10, 70H06
Language: English
Citation: Andrei K. Pogrebkov, “Negative Times of the Davey–Stewartson Integrable Hierarchy”, SIGMA, 17 (2021), 091, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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