Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1984, Volume 24, Pages 81–180 (Mi intd72)  
This article is cited in 811 scientific papers (total in 811 papers)

Lie algebras and equations of Korteweg–de Vries type

V. G. Drinfeld, V. V. Sokolov
Full-text PDF (5234 kB) Citations (811)
Abstract: The survey contains a description of the connection between the infinite-dimensional Lie algebras of Kats–Moody and systems of differential equations generalizing the Korteweg–de Vries and sine-Gordon equations and integrable by the method of the inverse scattering problem. A survey of the theory of Kats–Moody algebras is also given.
English version:
Journal of Soviet Mathematics, 1985, Volume 30, Issue 2, Pages 1975–2036
DOI: https://doi.org/10.1007/BF02105860
Bibliographic databases:
Document Type: Article
UDC: 515.168.3+517.957
Language: Russian
Citation: V. G. Drinfeld, V. V. Sokolov, “Lie algebras and equations of Korteweg–de Vries type”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 24, VINITI, Moscow, 1984, 81–180; J. Soviet Math., 30:2 (1985), 1975–2036
Citation in format AMSBIB
\Bibitem{DriSok84}
\by V.~G.~Drinfeld, V.~V.~Sokolov
\paper Lie algebras and equations of Korteweg--de~Vries type
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1984
\vol 24
\pages 81--180
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd72}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=760998}
\zmath{https://zbmath.org/?q=an:0578.58040|0558.58027}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 30
\issue 2
\pages 1975--2036
\crossref{https://doi.org/10.1007/BF02105860}
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