Isomonodromy for the Degenerate Fifth Painlevé Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Isomonodromy for the Degenerate Fifth Painlevé Equation
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| Creator |
Acosta-Humánez, P.B.
van der Put, M. Top, J. |
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| 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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| Date |
2019-02-18T16:16:18Z
2019-02-18T16:16:18Z 2017 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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