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Generalized Drinfel'd-Sokolov hierarchies

Mark F. De Groot, J.Luis Miramontes, Timothy Hollowood Orcid Logo

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

Swansea University Author: Timothy Hollowood Orcid Logo

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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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spelling 2016-06-03T14:37:11.8720207 v2 28599 2016-06-03 Generalized Drinfel'd-Sokolov hierarchies ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH 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 Journal Article Communications in Mathematical Physics "145" 1 57 84 0010-3616 1432-0916 31 3 1991 1991-03-31 10.1007/BF02099281 http://inspirehep.net/record/314876 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:37:11.8720207 2016-06-03T14:37:11.6380192 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Mark F. De Groot 1 J.Luis Miramontes 2 Timothy Hollowood 0000-0002-3258-320X 3
title Generalized Drinfel'd-Sokolov hierarchies
spellingShingle Generalized Drinfel'd-Sokolov hierarchies
Timothy Hollowood
title_short Generalized Drinfel'd-Sokolov hierarchies
title_full Generalized Drinfel'd-Sokolov hierarchies
title_fullStr Generalized Drinfel'd-Sokolov hierarchies
title_full_unstemmed Generalized Drinfel'd-Sokolov hierarchies
title_sort Generalized Drinfel'd-Sokolov hierarchies
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Mark F. De Groot
J.Luis Miramontes
Timothy Hollowood
format Journal article
container_title Communications in Mathematical Physics
container_volume "145"
container_issue 1
container_start_page 57
publishDate 1991
institution Swansea University
issn 0010-3616
1432-0916
doi_str_mv 10.1007/BF02099281
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/314876
document_store_str 0
active_str 0
description 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
published_date 1991-03-31T03:34:51Z
_version_ 1763751484872196096
score 11.014067

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