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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 221, Number 3, Pages 503–522
DOI: https://doi.org/10.4213/tmf10833 (Mi tmf10833) 		 
Darboux transformations for the discrete versions of the KP and strict KP hierarchies

G. F. Helmincka, V. A. Poberezhnyb, S. V. Polenkovac

a Korteweg–de Vries Institute for Mathematics, University of Amsterdam, Amsterdam, The Netherlands
b National Research University "Higher School of Economics", Moscow, Russia
c University of Twente, Enschede, The Netherlands
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DOI: https://doi.org/10.4213/tmf10833
Abstract: We introduce the notion of Darboux transformations for the discrete KP hierarchy and its strict version, and present an explicit form of these transformations for the solutions of discrete KP and discrete strict KP hierarchies constructed in our previous work.
Keywords: pseudodifference operators, Lax equations, discrete (strict) KP hierarchy, oscillating matrices, Darboux transformations.
Received: 27.09.2024
Revised: 27.09.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 221, Issue 3, Pages 2031–2048
DOI: https://doi.org/10.1134/S0040577924120031
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Document Type: Article
Language: Russian
Citation: G. F. Helminck, V. A. Poberezhny, S. V. Polenkova, “Darboux transformations for the discrete versions of the KP and strict KP hierarchies”, TMF, 221:3 (2024), 503–522; Theoret. and Math. Phys., 221:3 (2024), 2031–2048
Citation in format AMSBIB
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\paper Darboux transformations for the~discrete versions of the~KP and strict KP hierarchies
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\vol 221
\issue 3
\pages 503--522
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\jour Theoret. and Math. Phys.
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\vol 221
\issue 3
\pages 2031--2048
\crossref{https://doi.org/10.1134/S0040577924120031}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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