Rational Solutions of the Sasano System of Type A₅⁽²⁾

In this paper, we completely classify the rational solutions of the Sasano system of type A₅⁽²⁾, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type A₅⁽²⁾.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2011
1. Verfasser: Matsuda, K.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2011
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146805
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Rational Solutions of the Sasano System of Type A₅⁽²⁾ / K. Matsuda // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 26 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Matsuda, K.
author_facet Matsuda, K.
citation_txt Rational Solutions of the Sasano System of Type A₅⁽²⁾ / K. Matsuda // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 26 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description In this paper, we completely classify the rational solutions of the Sasano system of type A₅⁽²⁾, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type A₅⁽²⁾.
first_indexed 2025-12-02T13:43:56Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-02T13:43:56Z
publishDate 2011
publisher Інститут математики НАН України
record_format dspace
spelling Matsuda, K.
2019-02-11T15:37:12Z
2019-02-11T15:37:12Z
2011
Rational Solutions of the Sasano System of Type A₅⁽²⁾ / K. Matsuda // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 26 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 33E17; 34M55
DOI:10.3842/SIGMA.2011.030
https://nasplib.isofts.kiev.ua/handle/123456789/146805
In this paper, we completely classify the rational solutions of the Sasano system of type A₅⁽²⁾, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type A₅⁽²⁾.
The author wishes to express his sincere thanks to Professor Yousuke Ohyama. In addition, he is also indebted the referees for their useful comments.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Rational Solutions of the Sasano System of Type A₅⁽²⁾
Article
published earlier
spellingShingle Rational Solutions of the Sasano System of Type A₅⁽²⁾
Matsuda, K.
title Rational Solutions of the Sasano System of Type A₅⁽²⁾
title_full Rational Solutions of the Sasano System of Type A₅⁽²⁾
title_fullStr Rational Solutions of the Sasano System of Type A₅⁽²⁾
title_full_unstemmed Rational Solutions of the Sasano System of Type A₅⁽²⁾
title_short Rational Solutions of the Sasano System of Type A₅⁽²⁾
title_sort rational solutions of the sasano system of type a₅⁽²⁾
url https://nasplib.isofts.kiev.ua/handle/123456789/146805
work_keys_str_mv AT matsudak rationalsolutionsofthesasanosystemoftypea52