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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 $\tau$-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 $\tau$-functions”, TMF, 109:3 (1996), 357–371; Theoret. and Math. Phys., 109:3 (1996), 1523–1535
Citation in format AMSBIB
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\paper Fredholm determinants and $\tau$-functions
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\jour Theoret. and Math. Phys.
\yr 1996
\vol 109
\issue 3
\pages 1523--1535
\crossref{https://doi.org/10.1007/BF02073869}
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  • https://www.mathnet.ru/eng/tmf/v109/i3/p357
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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