Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Completion of the integrable coupling systems   In this paper, we proposed an procedure to construct the completion of the
integrable system by adding a perturbation to the generalized matrix problem,
which can be used to continuous integrable couplings, discrete integrable
couplings and super integrable couplings. As example, we construct the
completion of the Kaup-Newell (KN) integrable coupling, the
Wadati-Konno-Ichikawa (WKI) integrable couplingsis, vector
Ablowitz-Kaup-Newell-Segur (vAKNS) integrable couplings, the Volterra
integrable couplings, Dirac type integrable couplings and NLS-mKdV type
integrable couplings.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess