Instruct: Identify the main and secondary category of Arxiv papers based on the titles
Query: Stability of traveling waves of nonlinear Schr\"odinger equation with
  nonzero condition at infinity
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics