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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 2, Pages 177–184 (Mi tmf1576)  
This article is cited in 3 scientific papers (total in 3 papers)

Generic solutions for some integrable lattice equations

L. V. Bogdanov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (759 kB) Citations (3)
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Abstract: We derive the expressions for ψ-functions and generic solutions of lattice principal chiral equations, lattice KP hierarchy and hierarchy including lattice N-wave type equations. τ-function of n free fermions plays fundamental role in this context. Miwa's coordinates in our case appear as the lattice parameters.
English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 2, Pages 505–510
DOI: https://doi.org/10.1007/BF01016131
Bibliographic databases:
Language: English
Citation: L. V. Bogdanov, “Generic solutions for some integrable lattice equations”, TMF, 99:2 (1994), 177–184; Theoret. and Math. Phys., 99:2 (1994), 505–510
Citation in format AMSBIB
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\by L.~V.~Bogdanov
\paper Generic solutions for some integrable lattice equations
\jour TMF
\yr 1994
\vol 99
\issue 2
\pages 177--184
\mathnet{http://mi.mathnet.ru/tmf1576}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1308778}
\zmath{https://zbmath.org/?q=an:0850.35095}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 2
\pages 505--510
\crossref{https://doi.org/10.1007/BF01016131}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PV07100003}
Linking options:
  • https://www.mathnet.ru/eng/tmf1576
  • https://www.mathnet.ru/eng/tmf/v99/i2/p177
    • This publication is cited in the following 3 articles:
    1. Andrei Parnachev, “Near lightcone thermal conformal correlators and holography”, J. Phys. A: Math. Theor., 54:15 (2021), 155401  crossref
    2. Konopelchenko, BG, “Discrete integrable systems and deformations of associative algebras”, Journal of Physics A-Mathematical and Theoretical, 42:45 (2009), 454003  crossref  mathscinet  zmath  adsnasa  isi
    3. L.V. Bogdanov, “Generalized Hirota bilinear identity and integrable q-difference and lattice hierarchies”, Physica D: Nonlinear Phenomena, 87:1-4 (1995), 58  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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    Abstract page:349
    Full-text PDF :133
    References:81
    First page:1
     
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