A fully noncommutative Painlevé II hierarchy: Lax pair and solutions related to Fredholm determinants

DOI10.3842/SIGMA.2021.002zbMath1477.34116arXiv2007.05707OpenAlexW3041795961MaRDI QIDQ2024539

Sofia Tarricone

Publication date: 4 May 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05707

zbMATH Keywords

Riemann-Hilbert problemLax pairsAiry Hankel operatorPainlevé II hierarchy

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items

Solution classes of the matrix second Painlevé hierarchy ⋮ Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel

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