INTEGRABLE LATTICE MAPS: QV, A RATIONAL VERSION OF Q4

DOI10.1017/S0017089508004874zbMath1162.37330arXiv0802.0294OpenAlexW2052132313MaRDI QIDQ3612617

Claude Viallet

Publication date: 10 March 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0294

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Additive difference equations (39A10) Discrete geometry (52C99)

Related Items

Recursion operators, conservation laws, and integrability conditions for difference equations ⋮ A new recursion operator for Adler's equation in the Viallet form ⋮ Darboux integrability of trapezoidalH⁴andH⁴families of lattice equations I: first integrals ⋮ Reconstructing a lattice equation: a non-autonomous approach to the Hietarinta equation ⋮ Darboux integrability of trapezoidal \(H^{4}\) and \(H^{6}\) families of lattice equations. II: General solutions ⋮ Algebraic entropy of (integrable) lattice equations and their reductions ⋮ Asymmetric integrable quad-graph equations ⋮ Singularity confinement property for the (non-autonomous) Adler-Bobenko-Suris integrable lattice equations ⋮ Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax ⋮ A constructive approach to the soliton solutions of integrable quadrilateral lattice equations ⋮ Linear degree growth in lattice equations ⋮ Re-factorising a QRT map ⋮ Multi-component extension of CAC systems ⋮ Invariants in separated variables: Yang-Baxter, entwining and transfer maps ⋮ Features of Discrete Integrability ⋮ Algebraic entropy for face-centered quad equations