A Lax formalism for the elliptic difference Painlevé equation

DOI10.3842/SIGMA.2009.042zbMath1165.39018arXiv0811.1796MaRDI QIDQ1016684

Yasuhiko Yamada

Publication date: 21 May 2009

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

Full work available at URL: https://arxiv.org/abs/0811.1796

zbMATH Keywords

algebraic curvesLax formalismelliptic Painlevé equation

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Elliptic curves (14H52) Discrete version of topics in analysis (39A12)

Related Items (11)

The Padé interpolation method applied to \(q\)-Painlevé equations. II (differential grid version) ⋮ Theory and applications of the elliptic Painlevé equation ⋮ An elliptic Garnier system ⋮ An elliptic Garnier system from interpolation ⋮ A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\) ⋮ Geometric aspects of Painlevé equations ⋮ Commutation relations and discrete garnier systems ⋮ The Padé interpolation method applied to additive difference Painlevé equations ⋮ Study of <i>q</i>-Garnier System by Padé Method ⋮ Padé Interpolation for Elliptic Painlevé Equation ⋮ The elliptic Painlevé Lax equation vs. van Diejen's 8-coupling elliptic Hamiltonian

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