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Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view. (English) Zbl 0767.58019
This paper is a part of a project of F. Magri’s group, aiming to frame all the properties of soliton equations in the theory of bihamiltonian systems. It is shown that the Drinfeld-Sobolev reduction is a particular case of a reduction process for Poisson manifolds suggested by Marsden and Ratiu.

37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
35Q53 KdV equations (Korteweg-de Vries equations)
Full Text: DOI
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