Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complete integrability of the coupled KdV-mKdV system   The coupled KdV-mKdV system arises as the classical part of one of
superextensions of the KdV equation. For this system, we prove its complete
integrability, i.e., existence of a recursion operator and of infinite series
of symmetries.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg