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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| Datum: | 2014 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2014
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/146693 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| id |
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irk-123456789-1466932019-02-11T01:24:32Z Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) Marius van der Put Top, J. 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. 2014 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146693 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Marius van der Put Top, J. |
| spellingShingle |
Marius van der Put Top, J. Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Marius van der Put Top, J. |
| author_sort |
Marius van der Put |
| title |
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_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_sort |
geometric aspects of the painlevé equations piii(d₆) and piii(d₇) |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146693 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT mariusvanderput geometricaspectsofthepainleveequationspiiid6andpiiid7 AT topj geometricaspectsofthepainleveequationspiiid6andpiiid7 |
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2025-07-11T00:26:24Z |
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2025-07-11T00:26:24Z |
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1837308140176015360 |