Bäcklund Transformations for First and Second Painlevé Hierarchies

We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the considered hierarchies to new hierarchies of Painlevé-type equations.

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2009
Main Author: Sakka, A.H.
Format: Article
Language:English
Published: Інститут математики НАН України 2009
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/149252
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Bäcklund Transformations for First and Second Painlevé Hierarchies / A.H. Sakka // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Sakka, A.H.
author_facet Sakka, A.H.
citation_txt Bäcklund Transformations for First and Second Painlevé Hierarchies / A.H. Sakka // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the considered hierarchies to new hierarchies of Painlevé-type equations.
first_indexed 2025-12-07T13:25:53Z
format Article
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id nasplib_isofts_kiev_ua-123456789-149252
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T13:25:53Z
publishDate 2009
publisher Інститут математики НАН України
record_format dspace
spelling Sakka, A.H.
2019-02-19T19:23:09Z
2019-02-19T19:23:09Z
2009
Bäcklund Transformations for First and Second Painlevé Hierarchies / A.H. Sakka // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 34M55; 33E17
https://nasplib.isofts.kiev.ua/handle/123456789/149252
We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the considered hierarchies to new hierarchies of Painlevé-type equations.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Bäcklund Transformations for First and Second Painlevé Hierarchies
Article
published earlier
spellingShingle Bäcklund Transformations for First and Second Painlevé Hierarchies
Sakka, A.H.
title Bäcklund Transformations for First and Second Painlevé Hierarchies
title_full Bäcklund Transformations for First and Second Painlevé Hierarchies
title_fullStr Bäcklund Transformations for First and Second Painlevé Hierarchies
title_full_unstemmed Bäcklund Transformations for First and Second Painlevé Hierarchies
title_short Bäcklund Transformations for First and Second Painlevé Hierarchies
title_sort bäcklund transformations for first and second painlevé hierarchies
url https://nasplib.isofts.kiev.ua/handle/123456789/149252
work_keys_str_mv AT sakkaah backlundtransformationsforfirstandsecondpainlevehierarchies