Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system
DOI10.1007/s11040-023-09462-9zbMath1527.37062arXiv2302.12085OpenAlexW4385502477MaRDI QIDQ6096046
V. V. Prokof'ev, Anton V. Zabrodin
Publication date: 11 September 2023
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.12085
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) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants
- On the BKP hierarchy: Additional symmetries, Fay identity and Adler-Shiota-Van Moerbeke formula
- Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
- A new class of integrable systems and its relation to solitons
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Three integrable Hamiltonian systems connected with isospectral deformations
- Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line
- Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system
- Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model
- Field analogue of the Ruijsenaars-Schneider model
- Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model
- Elliptic solutions to integrable nonlinear equations and many-body systems
- KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Symmetry reductions of the BKP hierarchy
- Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra
- Dynamics of poles of elliptic solutions to the BKP equation
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system
- Toda lattice with constraint of type B
- Monodromy free linear equations and many-body systems
- Elliptic families of solutions to constrained Toda hierarchy
This page was built for publication: Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system