Algebraic reductions of discrete equations of Hirota-Miwa type

DOI10.13108/2022-14-4-113OpenAlexW4391552859MaRDI QIDQ6096069

A. R. Khakimova, Ismagil T. Habibullin

Publication date: 11 September 2023

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

Full work available at URL: http://mathnet.ru/eng/ufa635

zbMATH Keywords

integrabilitycharacteristic algebracharacteristic integralslattice Toda equation

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)

Related Items (1)

On the problem of classifying integrable chains with three independent variables

Cites Work

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• On a class of 2D integrable lattice equations
• Characteristic algebras and integrable exponential systems
• On the Classification of Discrete Hirota-Type Equations in 3D
• Darboux integrability of trapezoidalH⁴andH⁴families of lattice equations I: first integrals
• Differential Forms on General Commutative Algebras
• Characteristic Lie algebras of integrable differential-difference equations in 3D
• Discrete analogues of the Liouville equation
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