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Isomonodromy for the Degenerate Fifth Painlevé Equation
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Isomonodromy for the Degenerate Fifth Painlevé Equation
Інший ID:
2010 Mathematics Subject Classification: 33E17; 14D20; 14D22; 34M55
DOI:10.3842/SIGMA.2017.029
DOI:10.3842/SIGMA.2017.029
Посилання:
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.
Підтримка:
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.
Дата:
2017
Переглядів:
517
Завантажень:
193
Анотація:
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.
