Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Sine-Gordon Solitons as a N-Body Problem   We consider the N-soliton solutions in the sine-Gordon model as a N-body
problem. This leads to a relativistic generalization of the Calogero model
first introduced by Ruijsenaars. We show that the fundamental Poisson bracket
of the Lax matrix is quadratic, and the $r$-matrix is a dynamical one. This is
in contrast to the Calogero model where the fundamental Poisson bracket of the
Lax matrix is linear.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex