Darboux-integrable discrete systems

DOI10.1007/s11232-008-0084-xzbMath1158.39014OpenAlexW2051238965MaRDI QIDQ954342

V. L. Vereshchagin

Publication date: 10 November 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-008-0084-x

zbMATH Keywords

Darboux integrabilitynonlinear discrete systemsLiouville propertysystem of linear difference equationsnonlinear chaingeneralized Laplace invariantLaplace's cascade method

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12)

Related Items (1)

Discrete Toda lattices and the Laplace method

Cites Work

• C-series discrete chains
• The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane
• Discrete Toda field equations
• Laplace invariants of two-dimensional open Toda lattices
• Exactly integrable hyperbolic equations of Liouville type
• Integrable three-dimensional lattices
• Discrete analogues of the Liouville equation

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