A Bilinear Approach to the Discrete Painlevé I Equations

DOI10.1143/JPSJ.71.443zbMath1074.39023OpenAlexW2076319812MaRDI QIDQ5464448

A. S. Carstea, K. M. Tamizhmani, T. Tamizhmani, Alfred Ramani, Basile Grammaticos

Publication date: 17 August 2005

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.71.443

zbMATH Keywords

integrabilitytau functiondiscrete Painlevé equations\(q\)-difference equationHirota methodbilinear approachsingularity stucture

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Related Items (10)

Singularity analysis and bilinear approach to some Bogoyavlensky equations ⋮ Integrable mappings with transcendental invariants ⋮ Integrable systems related to Su-Schrieffer-Heeger lattices ⋮ On a novel representation of discrete Painlevé equations ⋮ A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group ⋮ q-deformed Painlevéτfunction andq-deformed conformal blocks ⋮ Strongly asymmetric discrete Painlevé equations: The additive case ⋮ Strongly asymmetric discrete Painlevé equations: The multiplicative case ⋮ Restoring discrete Painlevé equations from an E8(1)-associated one ⋮ Parameterless discrete Painlevé equations and their Miura relations

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