Geodesic
Lie algebras and equations of Korteweg--de~Vries type
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. 
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     author = {V. G. Drinfeld and V. V. Sokolov},
     title = {Lie algebras and equations of {Korteweg--de~Vries} type},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {81--180},
     publisher = {mathdoc},
     volume = {24},
     year = {1984},
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     url = {http://geodesic.mathdoc.fr/item/INTD_1984_24_a1/}
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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, Tome 24 (1984), pp. 81-180. http://geodesic.mathdoc.fr/item/INTD_1984_24_a1/