Classification of a subclass of quasilinear two-dimensional lattices by means of characteristic algebras

DOI10.13108/2019-11-3-109zbMath1463.37046OpenAlexW3019454927MaRDI QIDQ5137844

Mariya N. Kuznetsova

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa484

zbMATH Keywords

two-dimensional latticeintegrable reductionDarboux integrable systemcharacteristic Lie algebra\(x\)-integraldegenerate cutting off condition

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)

Related Items (5)

Lax pair for a novel two-dimensional lattice ⋮ On the problem of classifying integrable chains with three independent variables ⋮ A classification algorithm for integrable two-dimensional lattices via Lie-Rinehart algebras ⋮ On a class of 2D integrable lattice equations ⋮ Integrability conditions for two-dimensional Toda-like equations

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