On additional symmetry and bilinearization of the \(q\)-Painlevé systems associated with the affine Weyl group of type \(A\)

DOI10.1007/s11005-023-01755-yOpenAlexW4390465907MaRDI QIDQ6177596

Tetsu Masuda

Publication date: 17 January 2024

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

Full work available at URL: https://doi.org/10.1007/s11005-023-01755-y

zbMATH Keywords

affine Weyl groupdiscrete Painlevé equation\(\tau\)-variables

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Applications of Lie algebras and superalgebras to integrable systems (17B80) Difference equations, scaling ((q)-differences) (39A13) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

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• \(q\)-Painlevé systems arising from \(q\)-KP hierarchy
• Discrete dynamical systems with \(W(A^{(1)}_{m-1} \times A^{(1)}_{n-1})\) symmetry
• On \(q\)-isomonodromic deformations and \(q\)-Nekrasov functions
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• An affine Weyl group action on the basic hypergeometric series arising from the \(q\)-Garnier system
• A q-Analog of the Garnier System
• On the rational solutions of q-Painlevé V equation
• A study on the fourthq-Painlevé equation
• Aq-deformation of discrete dynamical systems associated with the Weyl group of typeA
• Weyl Group Symmetry of Type D5(1) in the q-Painlevé V Equation
• Generalizedq-Painlevé VI Systems of Type (A2n+1+A1+A1)(1) Arising From Cluster Algebra

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