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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 78, Number 2, Pages 234–247 (Mi tmf4733)  

This article is cited in 4 scientific papers (total in 4 papers)

Fermions on a Riemann surface and the Kadomtsev–Petviashvili equation

A. V. Zabrodin
References:
Abstract: It is shown that the scattering matrix for free massless fermions on a Riemann surface of finite genus generates the quasiperiodic solutions of the Kadomtsev–Petviashvili equation. The operator changing the genus of the solution is constructed and the composition law of such operators is discussed. The construction extends the well-known operator approach in the case of soliton solutions to the general case of the quasiperiodic $\tau$-functions.
Received: 02.07.1987
English version:
Theoretical and Mathematical Physics, 1989, Volume 78, Issue 2, Pages 167–177
DOI: https://doi.org/10.1007/BF01018682
Bibliographic databases:
Language: Russian
Citation: A. V. Zabrodin, “Fermions on a Riemann surface and the Kadomtsev–Petviashvili equation”, TMF, 78:2 (1989), 234–247; Theoret. and Math. Phys., 78:2 (1989), 167–177
Citation in format AMSBIB
\Bibitem{Zab89}
\by A.~V.~Zabrodin
\paper Fermions on~a~Riemann surface and the Kadomtsev--Petviashvili equation
\jour TMF
\yr 1989
\vol 78
\issue 2
\pages 234--247
\mathnet{http://mi.mathnet.ru/tmf4733}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=994154}
\zmath{https://zbmath.org/?q=an:0691.35074}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 78
\issue 2
\pages 167--177
\crossref{https://doi.org/10.1007/BF01018682}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989AR42000007}
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  • https://www.mathnet.ru/eng/tmf/v78/i2/p234
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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