A new method to test discrete Painlevé equations.

DOI10.1016/S0375-9601(96)00783-9zbMath1037.39500arXivsolv-int/9610007OpenAlexW2006162032MaRDI QIDQ1968075

Micheline Musette, Robert Conte

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9610007

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Discrete version of topics in analysis (39A12)

Related Items (7)

Singularity confinement and algebraic integrability ⋮ On the Nevanlinna Order of Meromorphic Solutions to Linear Analytic Difference Equations ⋮ On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane ⋮ Integrability in a discrete world ⋮ Towards second order Lax pairs to discrete Painlevé equations of first degree ⋮ The road to the discrete analogue of the Painlevé property: Nevanlinna meets singularity confinement ⋮ What is the discrete analogue of the Painlevé property?

Cites Work

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• Differential Operators on a Semisimple Lie Algebra
• An integrability test for differential-difference systems
• Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree
• Discrete version of the Chazy class III equation
• Nonperturbative two-dimensional quantum gravity
• Do integrable mappings have the Painlevé property?
• Painleve analysis and singularity confinement: the ultimate conjecture
• The planar approximation. II
• Linearization and solutions of the discrete Painlevé III equation

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