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Tau-functions and generalized intergrable hierarchies

J.Luis Miramontes, Timothy Hollowood Orcid Logo

Communications in Mathematical Physics, Volume: "157", Issue: 1, Pages: 99 - 118

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1007/BF02098021

Abstract

The tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies. A direct relation between the variables of the zero-curvature formalism and the tau-...

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Published in: Communications in Mathematical Physics
ISSN: 0010-3616 1432-0916
Published: 1992
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URI: https://cronfa.swan.ac.uk/Record/cronfa28591
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first_indexed 2016-06-03T19:16:34Z
last_indexed 2018-02-09T05:12:54Z
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spelling 2016-06-03T14:37:05.3511789 v2 28591 2016-06-03 Tau-functions and generalized intergrable hierarchies ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH The tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies. A direct relation between the variables of the zero-curvature formalism and the tau-functions is established. The formalism also clarifies the connection between the zero-curvature hierarchies and the Hirota-type hierarchies of Kac and Journal Article Communications in Mathematical Physics "157" 1 99 118 0010-3616 1432-0916 31 7 1992 1992-07-31 10.1007/BF02098021 http://inspirehep.net/record/337389 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:37:05.3511789 2016-06-03T14:37:05.1327775 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics J.Luis Miramontes 1 Timothy Hollowood 0000-0002-3258-320X 2
title Tau-functions and generalized intergrable hierarchies
spellingShingle Tau-functions and generalized intergrable hierarchies
Timothy Hollowood
title_short Tau-functions and generalized intergrable hierarchies
title_full Tau-functions and generalized intergrable hierarchies
title_fullStr Tau-functions and generalized intergrable hierarchies
title_full_unstemmed Tau-functions and generalized intergrable hierarchies
title_sort Tau-functions and generalized intergrable hierarchies
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 J.Luis Miramontes
Timothy Hollowood
format Journal article
container_title Communications in Mathematical Physics
container_volume "157"
container_issue 1
container_start_page 99
publishDate 1992
institution Swansea University
issn 0010-3616
1432-0916
doi_str_mv 10.1007/BF02098021
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/337389
document_store_str 0
active_str 0
description The tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies. A direct relation between the variables of the zero-curvature formalism and the tau-functions is established. The formalism also clarifies the connection between the zero-curvature hierarchies and the Hirota-type hierarchies of Kac and
published_date 1992-07-31T03:34:50Z
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score 11.036706

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