Singularity confinement property for the (non-autonomous) Adler-Bobenko-Suris integrable lattice equations

DOI10.1007/s11005-010-0378-4zbMath1190.37064OpenAlexW2145591585MaRDI QIDQ965884

Alfred Ramani, Basile Grammaticos

Publication date: 26 April 2010

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-010-0378-4

zbMATH Keywords

integrable lattice equationslinearisationdeautonomisationreductions of lattice equations.

Mathematics Subject Classification ID

Related Items (5)

Solutions and three-dimensional consistency for nonautonomous extended lattice Boussinesq-type equations ⋮ Solutions and continuum limits to nonlocal discrete sine‐Gordon equations: Bilinearization reduction method ⋮ Gambier lattices and other linearisable systems ⋮ Algebraic entropy of (integrable) lattice equations and their reductions ⋮ Linear degree growth in lattice equations

Cites Work

• Lax pair for the Adler (lattice Krichever-Novikov) system
• The Gambier mapping, revisited
• Classification of integrable equations on quad-graphs. The consistency approach
• Searching for CAC-maps
• Asymmetric integrable quad-graph equations
• INTEGRABLE LATTICE MAPS: Q_V, A RATIONAL VERSION OF Q₄
• On the non-autonomous form of theQ₄mapping and its relation to elliptic Painlevé equations
• Bäcklund transformation for the Krichever-Novikov equation
• Do integrable mappings have the Painlevé property?
• On the extension of the Painlevé property to difference equations
• Linearizable mappings and the low-growth criterion

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