Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems

DOI10.1088/1751-8113/48/8/085203zbMath1310.37029arXiv1408.2405OpenAlexW2015844927MaRDI QIDQ5179288

Raphael Boll, Matteo Petrera, Yuri Borisovich Suris

Publication date: 19 March 2015

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

Full work available at URL: https://arxiv.org/abs/1408.2405

zbMATH Keywords

Bäcklund transformationpluri-Lagrangian structurerelativistic Toda-type system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (8)

Geodesic compatibility: goldfish systems ⋮ Quantum integrability: Lagrangian 1-form case ⋮ A variational principle for discrete integrable systems ⋮ Discrete time Toda systems ⋮ Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs ⋮ Hamiltonian multiform description of an integrable hierarchy ⋮ Variational symmetries and pluri-Lagrangian systems in classical mechanics ⋮ Multiform description of the AKNS hierarchy and classical r-matrix

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