Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-periodic solutions for nonlinear wave equations (announcement)   We construct time quasi-periodic solutions to nonlinear wave equations on the
torus in arbitrary dimensions. All previously known results (in the case of
zero or a multiplicative potential) seem to be limited to the circle. This
generalizes the method developed in the limit-elliptic setting of NLS to the
hyperbolic setting. The additional ingredient is a Diophantine property of
algebraic numbers.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess