Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian
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Publication:1701151
DOI10.1016/j.nuclphysb.2017.12.021zbMath1380.37130arXiv1711.01036OpenAlexW2765214726MaRDI QIDQ1701151
Publication date: 22 February 2018
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.01036
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12)
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Cites Work
- Unnamed Item
- On some special solutions to periodic Benjamin-Ono equation with discrete Laplacian
- Anomaly in \(\mathcal{RTT}\) relation for DIM algebra and network matrix models
- On spectrum of ILW hierarchy in conformal field theory
- Periodic intermediate long wave equation: The undressing method
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Completely integrable Hamiltonian systems connected with semisimple Lie algebras
- The problem of integrable discretization: Hamiltonian approach
- Asymmetric six-vertex model and the classical Ruijsenaars-Schneider system of particles
- Integrable time-discretization of the Ruijsenaars-Schneider model
- A time-discretized version of the Calogero-Moser model
- Lax operator for Macdonald symmetric functions
- Algebraic Solitary Waves in Stratified Fluids
- A commutative algebra on degenerate CP1 and Macdonald polynomials
- Integrable hydrodynamics of Calogero–Sutherland model: bidirectional Benjamin–Ono equation
- Periodic ILW equation with discrete Laplacian
- The analogue of the Backlund transformation for integrable many-body systems
- On Bäcklund transformations for many-body systems
- On the periodic intermediate long wave equation
- Lagrange multiplier formalism for a spin-3/2 field
- Soliton solutions of a Calogero model in a harmonic potential