From continuous Painlevé IV to the asymmetric discrete Painlevé I

DOI10.1088/0305-4470/31/27/009zbMath0910.34019OpenAlexW2000042613MaRDI QIDQ4213283

Alfred Ramani, Basile Grammaticos

Publication date: 8 April 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/31/27/009

zbMATH Keywords

difference equationsnonlinear equations and systemsgeneral

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Additive difference equations (39A10)

Related Items (15)

New 2+1 dimensional nonisospectral Toda lattice hierarchy ⋮ The fourth Painlevé equation and associated special polynomials ⋮ Some exact solutions of the Volterra lattice ⋮ Properties of generalized Freud polynomials ⋮ Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations ⋮ The number of discrete Painlevé equations is infinite ⋮ A method of reduction of order for discrete systems ⋮ Strongly asymmetric discrete Painlevé equations: The additive case ⋮ Discrete systems related to some equations of the Painlevé-Gambier classification ⋮ Auto-Bäcklund transformations and special integrals for differential-delay Painlevé hierarchies ⋮ Proceedings of the 12th international workshop on nonlinear evolution equations and dynamical systems (NEEDS '98), Leeds, UK, June 21--28, 1998. Transl. from the Russian ⋮ A simplified version of higher covariant derivative regularization ⋮ Discretising the Painlevé equations à la Hirota-Mickens ⋮ Special function solutions of the discrete Painlevé equations ⋮ Painlevé type reductions for the non-Abelian Volterra lattices ^*

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