On the Lagrangian structure of integrable quad-equations
From MaRDI portal
Publication:965887
DOI10.1007/s11005-010-0381-9zbMath1379.70061arXiv0912.2464OpenAlexW3102822779MaRDI QIDQ965887
Yuri Borisovich Suris, Alexander Ivanovich Bobenko
Publication date: 26 April 2010
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.2464
star-triangle relationABS listdiscrete Lagrangian multiformsflip invariance of the actionintegrable quad-equations
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)
Related Items
On discrete integrable equations with convex variational principles, Integrable quad equations derived from the quantum Yang-Baxter equation, Two-component Yang-Baxter maps and star-triangle relations, Exactly solved models on planar graphs with vertices in $\mathbb{Z}^3$, Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation, A variational principle for discrete integrable systems, Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems, Discrete time Toda systems, Hamiltonian multiform description of an integrable hierarchy, On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations, What is integrability of discrete variational systems?, A variational perspective on continuum limits of ABS and lattice GD equations, Interaction-round-a-face and consistency-around-a-face-centered-cube, Multiform description of the AKNS hierarchy and classical r-matrix
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discrete nonlinear hyperbolic equations. Classification of integrable cases
- Exact solution of the Faddeev-Volkov model
- Abelian current algebra and the Virasoro algebra on the lattice
- Discrete versions of some classical integrable systems and factorization of matrix polynomials
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Classification of integrable equations on quad-graphs. The consistency approach
- Faddeev-Volkov solution of the Yang-Baxter equation and discrete conformal symmetry
- Lagrangian multiform structure for the lattice KP system
- Lagrangian multiforms and multidimensional consistency
- Variational principles for circle patterns and Koebe’s theorem
