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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