Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable many-body systems of Calogero-Ruijsenaars type   This thesis presents our results on Liouville integrable systems of
Calogero-Ruijsenaars type: 1. We prove an explicit formula providing canonical
spectral coordinates for the rational Calogero-Moser system. 2. We explore
action-angle duality for the trigonometric BC(n) Sutherland system using
Hamiltonian reduction. 3. We derive a Poisson-Lie deformation of the
trigonometric BC(n) Sutherland system using Hamiltonian reduction. 4. We
construct a Lax pair for the hyperbolic Ruijsenaars-Schneider system with two
couplings. 5. We present an explicit construction of compactified trigonometric
and elliptic Ruijsenaars-Schneider systems.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int