Non-ultralocal classical \(r\)-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model
DOI10.1088/1751-8121/ad5ee1MaRDI QIDQ6582870
Publication date: 5 August 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hecke transformations of conformal blocks in WZW theory. I: KZB equations for non-trivial bundles
- Modifications of bundles, elliptic integrable systems, and related problems
- Classical r-matrix and exchange algebra in WZNW and Toda theories
- 4D Chern-Simons theory and affine Gaudin models
- Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
- \(R\)-matrices for elliptic Calogero-Moser models
- Hitchin systems -- symplectic Hecke correspondence and two-dimensional version
- On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems
- The Lie-Poisson structure of integrable classical nonlinear sigma models
- Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system
- Vector bundles and Lax equations on algebraic curves
- Holomorphic bundles and many-body systems
- Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations
- Multi-pole extension of the elliptic models of interacting integrable tops
- Field analogue of the Ruijsenaars-Schneider model
- Classicalr-matrices and the Feigin–Odesskii algebra via Hamiltonian and Poisson reductions
- On factorized Lax pairs for classical many-body integrable systems
- Multicomponent generalization of the hierarchy of the Landau-Lifshits equation
- Solutions of the classical Yang-Baxter equation for simple Lie algebras
- The magic renormalisability of affine Gaudin models
- Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies
This page was built for publication: Non-ultralocal classical \(r\)-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model
