Lie algebras and equations of Korteweg-de Vries type

  title={Lie algebras and equations of Korteweg-de Vries type},
  author={V. G. Drinfel'd and Vladimir Vyacheslavovich Sokolov},
  journal={Journal of Soviet Mathematics},
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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    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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