Triangular Schlesinger systems and superelliptic curves

DOI10.1016/j.physd.2021.132947zbMath1484.35106arXiv1812.09795OpenAlexW3163813088MaRDI QIDQ2077710

Renat Gontsov, Vasilisa Shramchenko, Vladimir Dragović

Publication date: 21 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09795

zbMATH Keywords

superelliptic curvesGarnier systemsPainlevé VI equationsexplicit polynomial or rational solutionsperiods of differentialstriangular Schlesinger systems

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Systems of nonlinear higher-order PDEs (35G50)

Related Items (2)

Reduction of Schlesinger systems to linear Jordan-Pochhammer systems ⋮ Algebro-geometric approach to an Okamoto transformation, the Painlevé VI and Schlesinger equations

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