Isomonodromy for the Degenerate Fifth Painlevé Equation
This is a sequel to papers by the last two authors making the Riemann-Hilbert correspondence and isomonodromy explicit. For the degenerate fifth Painlevé equation, the moduli spaces for connections and for monodromy are explicitly computed. It is proven that the extended Riemann-Hilbert morphism is...
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| Дата: | 2017 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148586 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Isomonodromy for the Degenerate Fifth Painlevé Equation / P.B. Acosta-Humánez, M. van der Put, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 26 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1485862019-02-19T01:29:57Z Isomonodromy for the Degenerate Fifth Painlevé Equation Acosta-Humánez, P.B. van der Put, M. Top, J. This is a sequel to papers by the last two authors making the Riemann-Hilbert correspondence and isomonodromy explicit. For the degenerate fifth Painlevé equation, the moduli spaces for connections and for monodromy are explicitly computed. It is proven that the extended Riemann-Hilbert morphism is an isomorphism. As a consequence these equations have the Painlevé property and the Okamoto-Painlevé space is identified with a moduli space of connections. Using MAPLE computations, one obtains formulas for the degenerate fifth Painlevé equation, for the Bäcklund transformations. 2017 Article Isomonodromy for the Degenerate Fifth Painlevé Equation / P.B. Acosta-Humánez, M. van der Put, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 26 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33E17; 14D20; 14D22; 34M55 DOI:10.3842/SIGMA.2017.029 http://dspace.nbuv.gov.ua/handle/123456789/148586 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 |
This is a sequel to papers by the last two authors making the Riemann-Hilbert correspondence and isomonodromy explicit. For the degenerate fifth Painlevé equation, the moduli spaces for connections and for monodromy are explicitly computed. It is proven that the extended Riemann-Hilbert morphism is an isomorphism. As a consequence these equations have the Painlevé property and the Okamoto-Painlevé space is identified with a moduli space of connections. Using MAPLE computations, one obtains formulas for the degenerate fifth Painlevé equation, for the Bäcklund transformations. |
| format |
Article |
| author |
Acosta-Humánez, P.B. van der Put, M. Top, J. |
| spellingShingle |
Acosta-Humánez, P.B. van der Put, M. Top, J. Isomonodromy for the Degenerate Fifth Painlevé Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Acosta-Humánez, P.B. van der Put, M. Top, J. |
| author_sort |
Acosta-Humánez, P.B. |
| title |
Isomonodromy for the Degenerate Fifth Painlevé Equation |
| title_short |
Isomonodromy for the Degenerate Fifth Painlevé Equation |
| title_full |
Isomonodromy for the Degenerate Fifth Painlevé Equation |
| title_fullStr |
Isomonodromy for the Degenerate Fifth Painlevé Equation |
| title_full_unstemmed |
Isomonodromy for the Degenerate Fifth Painlevé Equation |
| title_sort |
isomonodromy for the degenerate fifth painlevé equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148586 |
| citation_txt |
Isomonodromy for the Degenerate Fifth Painlevé Equation / P.B. Acosta-Humánez, M. van der Put, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 26 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2025-07-12T19:43:06Z |
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2025-07-12T19:43:06Z |
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