Searching for integrable lattice maps using factorization
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Publication:5424931
DOI10.1088/1751-8113/40/42/S09zbMath1155.35463arXiv0705.1903OpenAlexW3098236365MaRDI QIDQ5424931
Claude Viallet, Jarmo Hietarinta
Publication date: 7 November 2007
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.1903
Related Items (17)
Growth of degrees of integrable mappings ⋮ Characteristics of conservation laws for difference 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 ⋮ Algebraic entropy of (integrable) lattice equations and their reductions ⋮ Yamilov's theorem for differential and difference equations ⋮ Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations ⋮ On the coprimeness property of discrete systems without the irreducibility condition ⋮ Duality for discrete integrable systems II ⋮ Linear degree growth in lattice equations ⋮ Algebraic entropy, symmetries and linearization of quad equations consistent on the cube ⋮ Higher dimensional integrable mappings derived from coupled discrete nonlinear Schrödinger equations ⋮ Algebraic entropy of a class of five-point differential-difference equations ⋮ A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants ⋮ Algebraic entropy computations for lattice equations: why initial value problems do matter ⋮ Algebraic entropy for face-centered quad equations
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