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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146805 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862662738668421120 |
|---|---|
| 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⁾.
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| first_indexed | 2025-12-02T13:43:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146805 |
| 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 |