A \(3 \times 3\) Lax form for the \(q\)-Painlevé equation of type \(E_6\)

DOI10.3842/sigma.2023.094arXiv2211.16706OpenAlexW4388798680MaRDI QIDQ6084935

Kanam Park

Publication date: 2 December 2023

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

Full work available at URL: https://arxiv.org/abs/2211.16706

zbMATH Keywords

\(q\)-Painlevé equationLax formalismaffine Weyl group symmetry

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Difference equations, scaling ((q)-differences) (39A13) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Cites Work

• Construction of a Lax pair for the \(E_{6}^{(1)} \)q-Painlevé system
• The hunting for the discrete Painlevé equations
• Special function solutions of the discrete Painlevé equations
• On some applications of Sakai's geometric theory of discrete Painlevé equations
• A \(q\)-analog of the sixth Painlevé equation
• A Lax formulation of a generalized \(q\)-Garnier system
• Geometric aspects of Painlevé equations
• A 𝑞-analogue of the Drinfeld-Sokolov Hierarchy of Type 𝐴 and 𝑞-Painlevé System
• Lax Formalism for q-Painleve Equations with Affine Weyl Group Symmetry of Type EFormula
• Lax form of theq-Painlevé equation associated with theA⁽¹⁾₂surface
• A q-Analog of the Garnier System
• Quivers and difference Painleve equations
• Discrete versions of the Painlevé equations
• Moduli Spaces ofq-Connections and Gap Probabilities
• $q$ -Racah Ensemble and Discrete Painlevé Equation
• A Certain Generalization of <i>q</i>-Hypergeometric Functions and Their Related Connection Preserving Deformation II

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