Variational symmetries and Lagrangian multiforms

DOI10.1007/s11005-019-01240-5zbMath1433.35327arXiv1906.05084OpenAlexW3098702604WikidataQ126792992 ScholiaQ126792992MaRDI QIDQ1986552

Vincent Caudrelier, Duncan Sleigh, Frank W. Nijhoff

Publication date: 8 April 2020

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05084

zbMATH Keywords

variational principleintegrable systemsvariational symmetriesLagrangian multiforms

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (8)

Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems ⋮ Lagrangian 3-form structure for the Darboux system and the KP hierarchy ⋮ Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies ⋮ Lagrangian multiforms on Lie groups and non-commuting flows ⋮ 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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