Discrete Toda lattices and the Laplace method

DOI10.1007/s11232-009-0112-5zbMath1180.37099OpenAlexW1986230216MaRDI QIDQ845121

Vadim L. Vereschagin

Publication date: 5 February 2010

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

Full work available at URL: https://doi.org/10.1007/s11232-009-0112-5

zbMATH Keywords

Darboux integrabilityLaplace methodnonlinear discrete equation

Mathematics Subject Classification ID

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

Cites Work

• Darboux-integrable discrete systems
• The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane
• Discrete Toda field equations
• Geometric discretisation of the Toda system.
• Laplace invariants of two-dimensional open Toda lattices
• Exactly integrable hyperbolic equations of Liouville type
• Integrable three-dimensional lattices
• Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds
• Discrete analogues of the Liouville equation

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