On a class of 2D integrable lattice equations

DOI10.1063/5.0013697zbMath1472.39029arXiv2005.06738OpenAlexW3106318116MaRDI QIDQ5140978

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Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06738

zbMATH Keywords

Darboux integrabilitydispersionless limitclassification of integrable equations

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (10)

An algebraic criterion of the Darboux integrability of differential-difference equations and systems ⋮ Second-order PDEs in 3D with Einstein-Weyl conformal structure ⋮ Lax pair for a novel two-dimensional lattice ⋮ 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 construction of Darboux integrable discrete models ⋮ On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras ⋮ Integrability conditions for two-dimensional Toda-like equations ⋮ Characteristic Lie algebras of integrable differential-difference equations in 3D

Cites Work

• Unnamed Item
• Unnamed Item
• A class of Einstein-Weyl spaces associated to an integrable system of hydrodynamic type
• Laplace transformations of hydrodynamic-type systems in Riemann invariants
• Classification of a subclass of two-dimensional lattices via characteristic Lie rings
• Lie algebras of slow growth and Klein-Gordon PDE
• To a transformation theory of two-dimensional integrable systems
• A classification algorithm for integrable two-dimensional lattices via Lie-Rinehart algebras
• Integrable background geometries
• Dispersionless integrable systems in 3D and Einstein-Weyl geometry
• Integrability via geometry: dispersionless differential equations in three and four dimensions
• On the Einstein-Weyl and conformal self-duality equations
• Einstein-Weyl spaces and SU(∞) Toda fields
• Classification of a subclass of quasilinear two-dimensional lattices by means of characteristic algebras
• Differential Forms on General Commutative Algebras
• Sur une classe d'espaces de Weyl
• Einstein-Weyl geometry, the dKP equation and twistor theory

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