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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 291, Pages 185–205 (Mi znsl1657)  
This article is cited in 17 scientific papers (total in 18 papers)

Group-theoretical structure and inverse scattering method for super-KdV equation

P. P. Kulisha, A. M. Zeitlinb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (263 kB) Citations (18)
Abstract: Using group-theoretical approach to the inverse scattering method the super-Korteveg-de Vries equation is obtained by application of the Drinfeld–Sokolov reduction to $osp(1|2)$ loop super-algebra. The direct and inverse scattering problems are discussed for the corresponding Lax pair.
Received: 15.09.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 125, Issue 2, Pages 203–214
DOI: https://doi.org/10.1023/B:JOTH.0000049572.41993.9f
Bibliographic databases:
UDC: 539.12
Language: Russian
Citation: P. P. Kulish, A. M. Zeitlin, “Group-theoretical structure and inverse scattering method for super-KdV equation”, Questions of quantum field theory and statistical physics. Part 17, Zap. Nauchn. Sem. POMI, 291, POMI, St. Petersburg, 2002, 185–205; J. Math. Sci. (N. Y.), 125:2 (2005), 203–214
Citation in format AMSBIB
\Bibitem{KulZei02}
\by P.~P.~Kulish, A.~M.~Zeitlin
\paper Group-theoretical structure and inverse scattering method for super-KdV equation
\inbook Questions of quantum field theory and statistical physics. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 291
\pages 185--205
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1657}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1948816}
\zmath{https://zbmath.org/?q=an:1068.35134}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 125
\issue 2
\pages 203--214
\crossref{https://doi.org/10.1023/B:JOTH.0000049572.41993.9f}
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  • https://www.mathnet.ru/eng/znsl/v291/p185
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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