Note on algebro-geometric solutions to triangular Schlesinger systems
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Publication:5231089
DOI10.1080/14029251.2017.1375692zbMath1420.34103arXiv1604.01820OpenAlexW2964000666MaRDI QIDQ5231089
Vladimir Dragović, Vasilisa Shramchenko
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.01820
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Relationships between algebraic curves and integrable systems (14H70) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
Related Items (2)
Algebro-geometric approach to an Okamoto transformation, the Painlevé VI and Schlesinger equations ⋮ Triangular Schlesinger systems and superelliptic curves
Cites Work
- Integral solutions to Schlesinger equations
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
- Algebro-geometric approach to an Okamoto transformation, the Painlevé VI and Schlesinger equations
- On the algebro-geometric integration of the Schlesinger equations
- Twistor spaces, Einstein metrics and isomonodromic deformations
- Confluence of hypergeometric functions and integrable hydrodynamic-type systems
- Quantization of Bending Deformations of Polygons In , Hypergeometric Integrals and the Gassner Representation
- On the reducibility of Schlesinger isomonodromic families
- On a discretization of confocal quadrics. I. An integrable systems approach
- Algebro-Geometric Solutions of the Schlesinger Systems and the Poncelet-Type Polygons in Higher Dimensions
- Critical points, Lauricella functions and Whitham-type equations
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