Classification of a subclass of two-dimensional lattices via characteristic Lie rings

DOI10.3842/SIGMA.2017.073zbMath1381.37083arXiv1703.09963OpenAlexW2600116711MaRDI QIDQ1692168

Ismagil T. Habibullin, Mariya Poptsova

Publication date: 26 January 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09963

zbMATH Keywords

integrable latticeDarboux integrable systemcharacteristic Lie ringcut-off boundary conditionopen chain

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lattice dynamics; integrable lattice equations (37K60) Lattice functional-differential equations (34K31)

Related Items (13)

An algebraic criterion of the Darboux integrability of differential-difference equations and systems ⋮ 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 ⋮ A classification algorithm for integrable two-dimensional lattices via Lie-Rinehart algebras ⋮ Integral preserving discretization of 2D Toda lattices ⋮ Algebraic properties of quasilinear two-dimensional lattices connected with integrability ⋮ Classification of a subclass of quasilinear two-dimensional lattices by means of characteristic algebras ⋮ On a class of 2D integrable lattice equations ⋮ Characteristic algebras and integrable exponential systems ⋮ Symmetries of a certain periodic chain ⋮ Integrability conditions for two-dimensional Toda-like equations ⋮ Characteristic Lie algebras of integrable differential-difference equations in 3D

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