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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148586 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862743263499255808 |
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| author | Acosta-Humánez, P.B. van der Put, M. Top, J. |
| author_facet | Acosta-Humánez, P.B. van der Put, M. Top, J. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T20:29:04Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148586 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:29:04Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Acosta-Humánez, P.B. van der Put, M. Top, J. 2019-02-18T16:16:18Z 2019-02-18T16:16:18Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/148586 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. The authors thank Yousuke Ohyama for his many helpful answers to our questions, and the referees for their careful reading and useful suggestions. The first author thanks the Johann Bernoulli
 Institute of the University of Groningen and the Universidad Sim´on Bol´ıvar for financial support
 to participate in this project. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Isomonodromy for the Degenerate Fifth Painlevé Equation Article published earlier |
| spellingShingle | Isomonodromy for the Degenerate Fifth Painlevé Equation Acosta-Humánez, P.B. van der Put, M. Top, J. |
| title | 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_short | Isomonodromy for the Degenerate Fifth Painlevé Equation |
| title_sort | isomonodromy for the degenerate fifth painlevé equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148586 |
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