Lie algebras and equations of Korteweg–de Vries type
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 24 (1984), pp. 81-180
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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.
@article{INTD_1984_24_a1,
author = {V. G. Drinfeld and V. V. Sokolov},
title = {Lie algebras and equations of {Korteweg{\textendash}de~Vries} type},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {81--180},
year = {1984},
volume = {24},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1984_24_a1/}
}
TY - JOUR AU - V. G. Drinfeld AU - V. V. Sokolov TI - Lie algebras and equations of Korteweg–de Vries type JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya PY - 1984 SP - 81 EP - 180 VL - 24 UR - http://geodesic.mathdoc.fr/item/INTD_1984_24_a1/ LA - ru ID - INTD_1984_24_a1 ER -
%0 Journal Article %A V. G. Drinfeld %A V. V. Sokolov %T Lie algebras and equations of Korteweg–de Vries type %J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya %D 1984 %P 81-180 %V 24 %U http://geodesic.mathdoc.fr/item/INTD_1984_24_a1/ %G ru %F INTD_1984_24_a1
V. G. Drinfeld; V. V. Sokolov. Lie algebras and equations of Korteweg–de Vries type. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 24 (1984), pp. 81-180. http://geodesic.mathdoc.fr/item/INTD_1984_24_a1/