On the Classification of Discrete Hirota-Type Equations in 3D

DOI10.1093/imrn/rnu086zbMath1320.35310arXiv1312.1574OpenAlexW2037849856MaRDI QIDQ5264499

I. Roustemoglou, Evgeny V. Ferapontov, Vladimir Novikov

Publication date: 27 July 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1574

zbMATH Keywords

conservation lawsintegrable differential/difference equationsintegrable Hirota-type equationsKP typeSine-Gordon typeToda type

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14)

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An algebraic criterion of the Darboux integrability of differential-difference equations and systems ⋮ Integrable systems of the intermediate long wave type in \(2 + 1\) dimensions ⋮ On the Einstein-Weyl and conformal self-duality equations ⋮ Construction of localized particular solutions of chains with three independent variables ⋮ Algebraic reductions of discrete equations of Hirota-Miwa type ⋮ On the problem of classifying integrable chains with three independent variables ⋮ On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras ⋮ Direct linearisation of the discrete-time two-dimensional Toda lattices ⋮ Explicit solutions for a nonlinear model on the honeycomb and triangular lattices ⋮ Characteristic Lie algebras of integrable differential-difference equations in 3D

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