Algebraic entropy of (integrable) lattice equations and their reductions

DOI10.1088/1361-6544/aaecdazbMath1410.39016arXiv1703.01069OpenAlexW2963817379WikidataQ128557832 ScholiaQ128557832MaRDI QIDQ4614999

Dinh T. Tran, John A. G. Roberts

Publication date: 1 February 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01069

zbMATH Keywords

integrabilityalgebraic entropydegree growthlattice equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Entropy and other invariants (28D20) Partial difference equations (39A14) Numerical methods for difference equations (65Q10)

Related Items (6)

The two-dimensional Boole-type transform and its ergodicity ⋮ 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 ⋮ Linear degree growth in lattice equations ⋮ Algebraic entropy computations for lattice equations: why initial value problems do matter ⋮ Algebraic entropy for face-centered quad equations

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