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Generalized Drinfel'd-Sokolov hierarchies / Mark F. De Groot; J.Luis Miramontes; Timothy Hollowood

Communications in Mathematical Physics, Volume: "145", Issue: 1, Pages: 57 - 84

Swansea University Author: Timothy, Hollowood

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DOI (Published version): 10.1007/BF02099281

Abstract

A general approach is adopted to the construction of integrable hierarchies of partial differential equations. A series of hierarchies associated to untwisted Kac-Moody algebras, and conjugacy classes of the Weyl group of the underlying finite Lie algebra, is obtained. The generalized KdV hierarchie...

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Published in: Communications in Mathematical Physics
ISSN: 0010-3616 1432-0916
Published: 1991
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URI: https://cronfa.swan.ac.uk/Record/cronfa28599
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Abstract: A general approach is adopted to the construction of integrable hierarchies of partial differential equations. A series of hierarchies associated to untwisted Kac-Moody algebras, and conjugacy classes of the Weyl group of the underlying finite Lie algebra, is obtained. The generalized KdV hierarchies of V.G. Drinfel'd and V.V. Sokolov are obtained as the special case for the Coxeter element. Various examples of the general formalism are treated in some detail; including the fractional KdV
College: College of Science
Issue: 1
Start Page: 57
End Page: 84