Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Calogero equation and Liouville type equations   In this paper we present a two-component generalization of the C-integrable
Calogero equation (see [1]). This system is C-integrable as well, and moreover
we show that the Calogero equation and its two-component generalization are
solvable by a reciprocal transformation to ODE's. Simultaneously we obtain a
generalized Liouville equation (34), determined by two arbitrary functions of
one variable.

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat