On the non-autonomous form of theQ4mapping and its relation to elliptic Painlevé equations

DOI10.1088/1751-8113/42/32/322003zbMath1181.37086OpenAlexW1983434079MaRDI QIDQ3649008

A. S. Carstea, Alfred Ramani, Basile Grammaticos

Publication date: 1 December 2009

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

Full work available at URL: https://doi.org/10.1088/1751-8113/42/32/322003

zbMATH Keywords

Painlevé equationsintegrable lattice system

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (3)

Geometry of an elliptic difference equation related to Q4 ⋮ Singularity confinement property for the (non-autonomous) Adler-Bobenko-Suris integrable lattice equations ⋮ Elliptic Painlevé equations from next-nearest-neighbor translations on the $E_8^{(1)}$ lattice

This page was built for publication: On the non-autonomous form of theQ₄mapping and its relation to elliptic Painlevé equations