Variational symmetries and pluri-Lagrangian systems in classical mechanics

DOI10.1080/14029251.2017.1418058zbMath1421.70031arXiv1710.01526OpenAlexW2761433866MaRDI QIDQ5231104

Matteo Petrera, Yuri Borisovich Suris

Publication date: 29 August 2019

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

Full work available at URL: https://arxiv.org/abs/1710.01526

zbMATH Keywords

Noether theoremintegrable systemLagrangian systemvariational symmetrypluri-Lagrangian structure

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Other variational principles in mechanics (70H30) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)

Related Items (8)

Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems ⋮ Quantum integrability: Lagrangian 1-form case ⋮ Lagrangian multiforms on Lie groups and non-commuting flows ⋮ Variational symmetries and Lagrangian multiforms ⋮ Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs ⋮ Hamiltonian multiform description of an integrable hierarchy ⋮ Multiform description of the AKNS hierarchy and classical r-matrix ⋮ Semi-discrete Lagrangian 2-forms and the Toda hierarchy

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