Journal article 936 views
Generalized Drinfel'd-Sokolov hierarchies
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...
Published in: | Communications in Mathematical Physics |
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ISSN: | 0010-3616 1432-0916 |
Published: |
1991
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URI: | https://cronfa.swan.ac.uk/Record/cronfa28599 |
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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 |
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1763751484872196096 |
score |
11.021648 |