Lagrangian multiforms on Lie groups and non-commuting flows
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Publication:2696145
DOI10.1016/j.geomphys.2023.104807OpenAlexW4323307380MaRDI QIDQ2696145
Duncan Sleigh, Mats Vermeeren, Vincent Caudrelier, Frank W. Nijhoff
Publication date: 6 April 2023
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.09663
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
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Cites Work
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- Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms
- The local structure of Poisson manifolds
- Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
- Linear integral transformations and hierarchies of integrable nonlinear evolution equations
- Three integrable Hamiltonian systems connected with isospectral deformations
- Generalized Liouville method of integration of Hamiltonian systems
- Noncommutative integrability, moment map and geodesic flows
- Variational symmetries and Lagrangian multiforms
- Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems
- Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs
- A variational approach to Lax representations
- Superintegrable Hamiltonian systems: Geometry and perturbations
- Discrete Systems and Integrability
- Classical integrability
- What is integrability of discrete variational systems?
- On the Lagrangian Structure of Integrable Hierarchies
- On the Lagrangian formulation of multidimensionally consistent systems
- The geometric foundations of the integrability property of differential equations and physical systems. I. Lie’s ‘‘function groups’’
- Discrete-time Calogero–Moser system and Lagrangian 1-form structure
- Hamiltonian multiform description of an integrable hierarchy
- Lagrangian multiform structure for the lattice KP system
- Lagrangian multiforms and multidimensional consistency
- Controlled invariance for hamiltonian systems
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Introduction to Classical Integrable Systems
- Variational symmetries and pluri-Lagrangian systems in classical mechanics
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- Lagrangian multiform structure for the lattice Gel'fand–Dikii hierarchy
- Multiform description of the AKNS hierarchy and classical r-matrix
