Lax formalism for a family of integrable Calogero-Moser related \(n\)-particle systems
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Publication:1966535
DOI10.1016/S0375-9601(97)00752-4zbMath0959.37053OpenAlexW2025315823MaRDI QIDQ1966535
Publication date: 8 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00752-4
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Many-body theory; quantum Hall effect (81V70)
Related Items
On a second Lax structure for the Calogero-Moser system: time-dependent constants and superintegrability ⋮ Superintegrability of the Calogero–Moser system: Constants of motion, master symmetries, and time-dependent symmetries
Cites Work
- Unnamed Item
- Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
- Three integrable Hamiltonian systems connected with isospectral deformations
- Completely integrable classical systems connected with semisimple Lie algebras
- Some finite dimensional integrable systems and their scattering behavior
- Lax representation with spectral parameter on a torus for integrable particle systems
- Symplectic geometry and integrable m-body problems on the line
- Hamiltonian group actions and dynamical systems of calogero type
- Integrability of difference Calogero–Moser systems
- Lax formalism for a family of integrable Toda-related n-particle systems
- Integrals of nonlinear equations of evolution and solitary waves
- A modified modified Korteweg-de Vries equation
