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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 109, Number 3, Pages 357–371
DOI: https://doi.org/10.4213/tmf1233 (Mi tmf1233) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Fredholm determinants and τ-functions

N. A. Slavnov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (232 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf1233
Abstract: It is proved that integral operators with the kernels of the special type generate by a natural way the infinite set of the AKNS equations. The corresponding determinants satisfy to the Hirota equations and are generation functions for integrals of motion.
Received: 13.03.1996
English version:
Theoretical and Mathematical Physics, 1996, Volume 109, Issue 3, Pages 1523–1535
DOI: https://doi.org/10.1007/BF02073869
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. A. Slavnov, “Fredholm determinants and τ-functions”, TMF, 109:3 (1996), 357–371; Theoret. and Math. Phys., 109:3 (1996), 1523–1535
Citation in format AMSBIB
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\by N.~A.~Slavnov
\paper Fredholm determinants and $\tau$-functions
\jour TMF
\yr 1996
\vol 109
\issue 3
\pages 357--371
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\crossref{https://doi.org/10.4213/tmf1233}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1472474}
\zmath{https://zbmath.org/?q=an:0935.35162}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 109
\issue 3
\pages 1523--1535
\crossref{https://doi.org/10.1007/BF02073869}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996XN86800004}
Linking options:
  • https://www.mathnet.ru/eng/tmf1233
  • https://doi.org/10.4213/tmf1233
  • https://www.mathnet.ru/eng/tmf/v109/i3/p357
    • This publication is cited in the following 3 articles:
    1. N. A. Slavnov, “Vvedenie v teoriyu kvantovykh integriruemykh sistem. Kvantovoe nelineinoe uravnenie Shredingera”, Lekts. kursy NOTs, 18, MIAN, M., 2011, 3–118  mathnet  crossref  zmath  elib
    2. H. Aratyn, J. F. Gomes, A. H. Zimerman, E. Nissimov, S. Pacheva, Integrable Hierarchies and Modern Physical Theories, 2001, 243  crossref
    3. Adler, M, “Random matrices, Virasoro algebras, and noncommutative KP”, Duke Mathematical Journal, 94:2 (1998), 379  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    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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    Abstract page:571
    Full-text PDF :279
    References:82
    First page:1
     
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