# Lie algebras and equations of Korteweg-de Vries type

@article{Drinfeld1985LieAA, title={Lie algebras and equations of Korteweg-de Vries type}, author={V. G. Drinfel'd and Vladimir Vyacheslavovich Sokolov}, journal={Journal of Soviet Mathematics}, year={1985}, volume={30}, pages={1975-2036} }

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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