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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 204, Number 3, Pages 367–382
DOI: https://doi.org/10.4213/tmf9933 (Mi tmf9933) 		 
Extensions of the discrete KP hierarchy and its strict version

G. F. Helmincka, V. A. Poberezhnybcd, S. V. Polenkovae

a Korteweg-de Vries Institute, University of Amsterdam, The Netherlands
b National Research University "Higher School of Economics", Moscow, Russia
c Institute for Theoretical and Experimental Physics, Moscow, Russia
d Center for Advanced Studies, Skolkovo Institute of Science and Technology, Moscow, Russia
e University of Twente, Enschede, The Netherlands
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DOI: https://doi.org/10.4213/tmf9933
Abstract: We show that both the dKP hierarchy and its strict version can be extended to a wider class of deformations satisfying a larger set of Lax equations. We prove that both extended hierarchies have appropriate linearizations allowing a geometric construction of their solutions.
Keywords: pseudodifference operator, hierarchy, linearization, oscillating matrix, wave matrix, geometric construction of solutions.
Funding agency Grant number
Russian Science Foundation 19-11-00275
The research of V. A. Poberezhny was performed at the Center for Advanced Studies, Skolkovo Institute of Science and Technology, and was supported by a grant from the Russian Science Foundation (Project No. 19-11-00275).
Received: 01.03.2020
Revised: 01.03.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 204, Issue 3, Pages 1140–1153
DOI: https://doi.org/10.1134/S0040577920090044
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. F. Helminck, V. A. Poberezhny, S. V. Polenkova, “Extensions of the discrete KP hierarchy and its strict version”, TMF, 204:3 (2020), 367–382; Theoret. and Math. Phys., 204:3 (2020), 1140–1153
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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