On the discretization of Darboux Integrable Systems

DOI10.1080/14029251.2020.1819597zbMath1441.37078arXiv1906.11529OpenAlexW3083612343MaRDI QIDQ5121138

Kostyantyn Zheltukhin, Natalya A. Zheltukhina

Publication date: 10 September 2020

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

Full work available at URL: https://arxiv.org/abs/1906.11529

zbMATH Keywords

discretizationDarboux integrabilitysemi-discrete system\(x\)-integral

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)

Related Items (2)

On construction of Darboux integrable discrete models ⋮ On discretization of Darboux Integrable Systems admitting second-order integrals

Cites Work

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• Characteristic Lie algebra and classification of semidiscrete models
• Discretization of hyperbolic type Darboux integrable equations preserving integrability
• Cartan matrices and integrable lattice Toda field equations
• Discretization of Liouville type nonautonomous equations preserving integrals
• On the discretization of Laine equations
• Darboux-integrable two-component nonlinear hyperbolic systems of equations

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