Variations of theq-Garnier system

DOI10.1088/1751-8121/aaae31zbMath1392.35266arXiv1710.03998OpenAlexW2763072169MaRDI QIDQ4644125

Hidehito Nagao, Yasuhiko Yamada

Publication date: 30 May 2018

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

Full work available at URL: https://arxiv.org/abs/1710.03998

zbMATH Keywords

\(q\)-Painlevé equationlax pair\(q\)-Garnier systemPainlevé method\(q\)-KP system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (7)

An elliptic Garnier system from interpolation ⋮ A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\) ⋮ Two variations on ( A ₃ × A ₁ × A ₁ ) ⁽¹⁾ type discrete Painlevé equations ⋮ On \(q\)-isomonodromic deformations and \(q\)-Nekrasov functions ⋮ The Padé interpolation method applied to additive difference Painlevé equations ⋮ A Lax formulation of a generalized \(q\)-Garnier system ⋮ An affine Weyl group action on the basic hypergeometric series arising from the \(q\)-Garnier system

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