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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 235, Pages 295–303 (Mi znsl3656)  
This article is cited in 9 scientific papers (total in 9 papers)

Quasi-classical limit of KP hierarchy, $W$-symmetries and free fermions

Kanehisa Takasakia, Takashi Takebeb

a Institute of Mathematics, Yoshida College, Kyoto University
b Department of Mathematical Sciences, University of Tokyo
Full-text PDF (387 kB) Citations (9)
Abstract: This paper deals with the dispersionless KP hierarchy from the point of view of quasiclassical limit. Its Lax formalism, W-infinity symmetries, and general solutions are shown to be reproduced from their counterparts in the KP hierarchy in the limit of $\hbar\to0$. Free fermions and bosonized vertex operators play a key role in the description of W-infinity symmetries and general solutions, which is technically very similar to a recent free fermion formalism of $c=1$ matrix models. Bibl. 25 titles.
Received: 03.07.1992
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 4, Pages 1635–1641
DOI: https://doi.org/10.1007/BF02365211
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Kanehisa Takasaki, Takashi Takebe, “Quasi-classical limit of KP hierarchy, $W$-symmetries and free fermions”, Differential geometry, Lie groups and mechanics. Part 15–2, Zap. Nauchn. Sem. POMI, 235, POMI, St. Petersburg, 1996, 295–303; J. Math. Sci. (New York), 94:4 (1999), 1635–1641
Citation in format AMSBIB
\Bibitem{TakTak96}
\by Kanehisa~Takasaki, Takashi~Takebe
\paper Quasi-classical limit of KP hierarchy, $W$-symmetries and free fermions
\inbook Differential geometry, Lie groups and mechanics. Part~15--2
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 235
\pages 295--303
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3656}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856104}
\zmath{https://zbmath.org/?q=an:0947.37038}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 4
\pages 1635--1641
\crossref{https://doi.org/10.1007/BF02365211}
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  • https://www.mathnet.ru/eng/znsl/v235/p295
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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