Generalized Bonnet surfaces and Lax pairs of PVI

DOI10.1063/1.4995689zbMath1380.34131arXiv1710.04944OpenAlexW3104269636MaRDI QIDQ4592879

Robert Conte

Publication date: 9 November 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04944

zbMATH Keywords

Painlevé equationLax pairBonnet surfacequantum correspondence

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (3)

Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom ⋮ Solutions to analogues of non-stationary Schrödinger equations defined by isomonodromic Hamilton system $H^{2+1+1+1}$ ⋮ Structural equations of supermanifolds immersed in the superspace ${\mathcal{M}^{(3\vert2)}(c)}$ with a prescribed curvature

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