Discrete systems related to some equations of the Painlevé-Gambier classification
DOI10.1016/S0375-9601(00)00259-0zbMath1115.39302arXivnlin/0104019OpenAlexW2021143089MaRDI QIDQ997897
Stéphane Lafortune, Pavel Winternitz, Basile Grammaticos, Alfred Ramani
Publication date: 8 August 2007
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0104019
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear ordinary differential equations and systems (34A34) Discrete version of topics in analysis (39A12)
Cites Work
- Unnamed Item
- Unnamed Item
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations
- Schlesinger transformations for linearizable equations
- From continuous to discrete Painlevé equations
- Retracing the Painlevé-Gambier classification for discrete systems
- The Gambier mapping, revisited
- The hunting for the discrete Painlevé equations
- The Gambier mapping
- Miura transforms for discrete Painleve equations
- From continuous Painlevé IV to the asymmetric discrete Painlevé I
- Discrete versions of the Painlevé equations
- On a unified approach to transformations and elementary solutions of Painlevé equations
- On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation
- Asymmetric discrete Painlevé equations
This page was built for publication: Discrete systems related to some equations of the Painlevé-Gambier classification
