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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 221, Number 3, Pages 493–502
DOI: https://doi.org/10.4213/tmf10835 (Mi tmf10835) 		 
Equation with a lower negative time number in the Davey–Stewartson hierarchy

A. K. Pogrebkovabc

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Department of Mathematics, National Research University "Higher School of Economics", Moscow, Russia
c Krichever Center for Advanced Studies, Skolkovo Institute of Science and Technology, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10835
Abstract: Earlier, we have presented an integrable system with a negative time variable number for the Davey–Stewartson hierarchy. Here, we develop this approach to construct an integrable equation with a lower time variable number. In addition, we show that the system reduced with respect to this time yields a new integrable equation in 1+1 dimensions.
Keywords: space of (2+1) dimensions, negative time numbers, hierarchies, dimensional reduction.
Received: 01.10.2024
Revised: 01.10.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 221, Issue 3, Pages 2022–2030
DOI: https://doi.org/10.1134/S004057792412002X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Pogrebkov, “Equation with a lower negative time number in the Davey–Stewartson hierarchy”, TMF, 221:3 (2024), 493–502; Theoret. and Math. Phys., 221:3 (2024), 2022–2030
Citation in format AMSBIB
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\by A.~K.~Pogrebkov
\paper Equation with a~lower negative time number in the~Davey--Stewartson hierarchy
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\yr 2024
\vol 221
\issue 3
\pages 493--502
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\crossref{https://doi.org/10.4213/tmf10835}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2024TMP...221.2022P}
\transl
\jour Theoret. and Math. Phys.
\yr 2024
\vol 221
\issue 3
\pages 2022--2030
\crossref{https://doi.org/10.1134/S004057792412002X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85212935489}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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