Hamiltonian system for the elliptic form of Painlevé VI equation

DOI10.1016/j.matpur.2016.03.003zbMath1348.34141arXiv1506.06545OpenAlexW2962743941MaRDI QIDQ726576

Zhijie Chen, Chang-Shou Lin, Ting-Jung Kuo

Publication date: 12 July 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06545

zbMATH Keywords

Hamiltonian systemPainlevé VI equationelliptic formisomonodromy theory

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (10)

Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation. I. ⋮ Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data ⋮ Uniqueness of bubbling solutions of mean field equations ⋮ Existence results for a super-Liouville equation on compact surfaces ⋮ On reducible monodromy representations of some generalized Lamé equation ⋮ Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems ⋮ Simple zero property of some holomorphic functions on the moduli space of tori ⋮ A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations ⋮ The geometry of generalized Lamé equation. I ⋮ Uniqueness of bubbling solutions of mean field equations with non-quantized singularities

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