On the Lagrangian Structure of Integrable Hierarchies
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Publication:2832780
DOI10.1007/978-3-662-50447-5_11zbMath1408.37120arXiv1510.03724OpenAlexW2290513778MaRDI QIDQ2832780
Mats Vermeeren, Yuri Borisovich Suris
Publication date: 14 November 2016
Published in: Advances in Discrete Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.03724
integrable hierarchiesKorteweg-de Vries hierarchyLagrangian multiformmulti-time Euler Lagrange equationpluri-Lagrangian structures
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Related Items (14)
Commutativity in Lagrangian and Hamiltonian mechanics ⋮ A variational approach to Lax representations ⋮ 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 Lagrangian multiforms ⋮ A variational principle for discrete integrable 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 ⋮ A variational perspective on continuum limits of ABS and lattice GD equations ⋮ Multiform description of the AKNS hierarchy and classical r-matrix ⋮ Semi-discrete Lagrangian 2-forms and the Toda hierarchy
Cites Work
- Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms
- Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Classification of integrable equations on quad-graphs. The consistency approach
- A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations
- Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems
- Faddeev-Volkov solution of the Yang-Baxter equation and discrete conformal symmetry
- Pluriharmonic Maps into Compact Lie Groups and Factorization into Unitons
- Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function
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