Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs

DOI10.1007/s40879-020-00436-7zbMath1475.37072arXiv1906.04535OpenAlexW2952483165WikidataQ114218246 ScholiaQ114218246MaRDI QIDQ2040981

Mats Vermeeren, Matteo Petrera

Publication date: 15 July 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04535

zbMATH Keywords

variational principlesintegrable PDEsvariational symmetries

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Variational methods for problems in mechanics (70G75) Other variational principles in mechanics (70H30) Symmetries, invariants, etc. in context of PDEs (35B06) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items

Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems, Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies, Lagrangian multiforms on Lie groups and non-commuting flows, Variational symmetries and Lagrangian multiforms, 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

Uses Software

• SageMath

Cites Work

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