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Название: Lie algebras and equations of Korteweg-de Vries type
Авторы: Drinfel'd V.G., Sokolov V.V.
Аннотация:
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 algebrasis also given.