Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable manifolds for all monic supercritical NLS in one dimension   We show that all supercritical monic focusing NLS in one space dimension
exhibit asymptotic stability of perturbed standing waves provided the
perturbations are chosen on a small hypersuface in a suitable space.

0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex