Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On multichannel solutions of nonlinear Schr\"{o}dinger equations:
  algorithm, analysis and numerical explorations   We apply the method of modulation equations to numerically solve the NLS with
multichannel dynamics, given by a trapped localized state and radiation. This
approach employs the modulation theory of Soffer-Weinstein, which gives a
system of ODE's coupled to the radiation term, which is valid for all times. We
comment on the differences of this method from the well-known method of
collective coordinates.

20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th