A new family of discrete Painlevé equations and associated linearisable systems
From MaRDI portal
Publication:5230931
DOI10.1080/14029251.2013.862444zbMath1420.37085OpenAlexW2318317880MaRDI QIDQ5230931
Basile Grammaticos, Alfred Ramani
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2013.862444
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12)
Related Items (4)
On a novel representation of discrete Painlevé equations ⋮ Interrelations of discrete Painlevé equations through limiting procedures ⋮ On the canonical forms of QRT mappings and discrete Painlevé equations ⋮ A class of integrable non-QRT mappings and their deautonomisation
Cites Work
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- Integrable mappings and soliton equations. II
- Discrete Painlevé equations: coalescences, limits and degeneracies
- On a novel \(q\)-discrete analogue of the Painlevé VI equation
- Discretising the Painlevé equations à la Hirota-Mickens
- Generalized QRT mappings with periodic coefficients
- Linearizable QRT mappings
- Degeneration through coalescence of theq-Painlevé VI equation
- Discrete versions of the Painlevé equations
- Do integrable mappings have the Painlevé property?
- On a transcendental equation related to Painlevé III, and its discrete forms
- Asymmetric discrete Painlevé equations
- On the autonomous limit of discrete Painlevé equations
This page was built for publication: A new family of discrete Painlevé equations and associated linearisable systems
