Weak Lax pairs for lattice equations
From MaRDI portal
Publication:2903932
DOI10.1088/0951-7715/25/7/1955zbMath1267.37074arXiv1105.3329OpenAlexW1996579870MaRDI QIDQ2903932
Claude Viallet, Jarmo Hietarinta
Publication date: 2 August 2012
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.3329
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Partial difference equations (39A14)
Related Items (16)
Addition formulae, Bäcklund transformations, periodic solutions, and quadrilateral equations ⋮ 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 ⋮ Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation ⋮ Algebraic entropy of (integrable) lattice equations and their reductions ⋮ From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations ⋮ Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube ⋮ Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax ⋮ Re-factorising a QRT map ⋮ Algebraic entropy, symmetries and linearization of quad equations consistent on the cube ⋮ On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations ⋮ Features of Discrete Integrability ⋮ ${{\mathbb{Z}}_{N}}$ graded discrete Lax pairs and integrable difference equations ⋮ An algebraic approach to discrete time integrability ⋮ Algebraic entropy for face-centered quad equations
This page was built for publication: Weak Lax pairs for lattice equations