Integrals and characteristic Lie rings of semi-discrete systems of equations

DOI10.13108/2021-13-2-22zbMath1488.37058OpenAlexW3188231250WikidataQ114056999 ScholiaQ114056999MaRDI QIDQ5155553

Anatoliy V. Zhiber, Mariya N. Kuznetsova

Publication date: 7 October 2021

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

Full work available at URL: http://mathnet.ru/eng/ufa570

zbMATH Keywords

Darboux integrable systemcharacteristic ring\(x\)-integralsemi-discrete system of equations

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

An algebraic criterion of the Darboux integrability of differential-difference equations and systems, On the problem of classifying integrable chains with three independent variables, On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras, Characteristic Lie algebras of integrable differential-difference equations in 3D

Cites Work

• Invariant manifolds of hyperbolic integrable equations and their applications
• Discretization of hyperbolic type Darboux integrable equations preserving integrability
• Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1)
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