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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 360, Pages 139–152 (Mi znsl2162)  
This article is cited in 1 scientific paper (total in 2 paper)

Discrete symmetries, Darboux transformation, and exact solutions of the Wess–Zumino–Novikov–Witten model

E. Sh. Gutshabasha, P. P. Kulishb

a St. Petersburg State University, Faculty of Physics
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: The matrix Darboux transformation is applied to an auxiliary problem of the classical Wess–Zumino–Novikov–Witten model. One and two soliton solutions are written explicitly, and a matrix expression for the $N$-soliton solution is given. Discrete symmetries of the WZNW model are analyzed, and a solution of the linearized equation of motion is obtained. Bibl. – 19 titles.
Received: 12.11.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 158, Issue 6, Pages 845–852
DOI: https://doi.org/10.1007/s10958-009-9420-4
Bibliographic databases:
UDC: 517
Language: Russian
Citation: E. Sh. Gutshabash, P. P. Kulish, “Discrete symmetries, Darboux transformation, and exact solutions of the Wess–Zumino–Novikov–Witten model”, Representation theory, dynamics systems, combinatorial methods. Part XVI, Zap. Nauchn. Sem. POMI, 360, POMI, St. Petersburg, 2008, 139–152; J. Math. Sci. (N. Y.), 158:6 (2009), 845–852
Citation in format AMSBIB
\Bibitem{GutKul08}
\by E.~Sh.~Gutshabash, P.~P.~Kulish
\paper Discrete symmetries, Darboux transformation, and exact solutions of the Wess--Zumino--Novikov--Witten model
\inbook Representation theory, dynamics systems, combinatorial methods. Part~XVI
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 360
\pages 139--152
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2162}
\zmath{https://zbmath.org/?q=an:1179.35268}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 158
\issue 6
\pages 845--852
\crossref{https://doi.org/10.1007/s10958-009-9420-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349209963}
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  • https://www.mathnet.ru/eng/znsl/v360/p139
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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