Journal of Soviet Mathematics

, Volume 30, Issue 2, pp 1975–2036 | Cite as

Lie algebras and equations of Korteweg-de Vries type

  • V. G. Drinfel'd
  • V. V. Sokolov


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.


Differential Equation Inverse Scattering Scattering Problem Inverse Scattering Problem 
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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • V. G. Drinfel'd
  • V. V. Sokolov

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