Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇)
The Riemann-Hilbert approach for the equations PIII(D6) and PIII(D7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painlevé varieties, the Painlevé property, special solutions and explicit Bäcklund transformations.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146693 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) / Marius van der Put, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862578835150602240 |
|---|---|
| author | Marius van der Put Top, J. |
| author_facet | Marius van der Put Top, J. |
| citation_txt | Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) / Marius van der Put, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Riemann-Hilbert approach for the equations PIII(D6) and PIII(D7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painlevé varieties, the Painlevé property, special solutions and explicit Bäcklund transformations.
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| first_indexed | 2025-11-26T17:52:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146693 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T17:52:25Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Marius van der Put Top, J. 2019-02-10T19:01:20Z 2019-02-10T19:01:20Z 2014 Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) / Marius van der Put, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 13 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14D20; 14D22; 34M55 DOI:10.3842/SIGMA.2014.050 https://nasplib.isofts.kiev.ua/handle/123456789/146693 The Riemann-Hilbert approach for the equations PIII(D6) and PIII(D7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painlevé varieties, the Painlevé property, special solutions and explicit Bäcklund transformations. The authors thank Yousuke Ohyama for his helpful answers to our questions and his remarks
 concerning the tau-divisor (see Section 3.3.4). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) Article published earlier |
| spellingShingle | Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) Marius van der Put Top, J. |
| title | Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) |
| title_full | Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) |
| title_fullStr | Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) |
| title_full_unstemmed | Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) |
| title_short | Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) |
| title_sort | geometric aspects of the painlevé equations piii(d₆) and piii(d₇) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146693 |
| work_keys_str_mv | AT mariusvanderput geometricaspectsofthepainleveequationspiiid6andpiiid7 AT topj geometricaspectsofthepainleveequationspiiid6andpiiid7 |