Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The existence of full dimensional invariant tori for 1-dimensional
  nonlinear wave equation   In this paper we prove the existence and linear stability of full dimensional
tori with subexponential decay for 1-dimensional nonlinear wave equation with
external parameters, which relies on the method of KAM theory and the idea
proposed by Bourgain \cite{BJFA2005}.

16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con