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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 199, Number 2, Pages 193–209
DOI: https://doi.org/10.4213/tmf9615 (Mi tmf9615) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Expressions in Fredholm determinants for solutions of the strict KP hierarchy

G. F. Helmincka, E. A. Panasenkob

a Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Amsterdam, The Netherlands
b Tambov State University named after G.R. Derzhavin
Full-text PDF (515 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9615
Abstract: We present explicit expressions for wave functions and also their duals in terms of two Fredholm determinants that correspond to the geometric Segal–Wilson construction.
Keywords: pseudodifferential operator, (strict) KP hierarchy, (dual) linearization, (dual) oscillating function, (dual) wave function, line bundle, Fredholm determinant, τ-function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 3.8515.2017/8.9
Russian Foundation for Basic Research 17-01-00553
This research was supported in part by the Ministry of Education and Science of the Russian Federation (Grant No. 3.8515.2017/8.9 in the framework of the base part of the Government Order) and the Russian Foundation for Basic Research (Grant No. 17-01-00553).
Received: 06.08.2018
Revised: 19.09.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 199, Issue 2, Pages 637–651
DOI: https://doi.org/10.1134/S0040577919050027
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. F. Helminck, E. A. Panasenko, “Expressions in Fredholm determinants for solutions of the strict KP hierarchy”, TMF, 199:2 (2019), 193–209; Theoret. and Math. Phys., 199:2 (2019), 637–651
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf9615
  • https://doi.org/10.4213/tmf9615
  • https://www.mathnet.ru/eng/tmf/v199/i2/p193
    • This publication is cited in the following 3 articles:
    1. G. F. Helminck, J. A. Weenink, “LU Factorizations for ℕ × ℕ-Matrices and Solutions of the k[S]-Hierarchy and Its Strict Version”, Geometry, 2:2 (2025), 4  crossref
    2. G. F. Helminck, V. A. Poberezhny, S. V. Polenkova, “Connecting KP and Strict KP with Their Discrete Versions”, Lobachevskii J Math, 45:10 (2024), 4644  crossref
    3. G. F. Khelmink, E. A. Panasenko, “Svoistva algebry psevdodifferentsialnykh operatorov, svyazannye s integriruemymi ierarkhiyami”, Vestnik rossiiskikh universitetov. Matematika, 25:130 (2020), 183–195  mathnet  crossref
    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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