Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A uniqueness result for the two vortex travelling wave in the Nonlinear
  Schrodinger equation   For the Nonlinear Schrodinger equation in dimension 2, the existence of a
global minimizer of the energy at fixed momentum has been established by
Bethuel-Gravejat-Saut. This minimizer is a travelling wave for the Nonlinear
Schrodinger equation. For large momentums, the propagation speed is small and
the minimizer behaves like two well separated vortices. In that limit, we show
the uniqueness of this minimizer, up to the invariances of the problem, hence
proving the orbital stability of this travelling wave. This work is a follow up
to two previous papers, where we constructed and studied a particular
travelling wave of the equation. We show a uniqueness result on this travelling
wave in a class of functions that contains in particular all possible
minimizers of the energy.

32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph