Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Band gaps and localization of water waves over one-dimensional
  topographical bottoms   In this paper, the phenomenon of band gaps and Anderson localization of water
waves over one-dimensional periodic and random bottoms is investigated by the
transfer matrix method. The results indicate that the range of localization in
random bottoms can be coincident with the band gaps for the corresponding
periodic bottoms. Inside the gap or localization regime, a collective behavior
of water waves appears. The results are also compared with acoustic and optical
situations.

5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph