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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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/
@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
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.
