Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical simulation of surface waves instability on a discrete grid   We perform full-scale numerical simulation of instability of weakly nonlinear
waves on the surface of deep fluid. We show that the instability development
leads to chaotization and formation of wave turbulence.
  We study instability both of propagating and standing waves. We studied
separately pure capillary wave unstable due to three-wave interactions and pure
gravity waves unstable due to four-wave interactions. The theoretical
description of instabilities in all cases is included into the article. The
numerical algorithm used in these and many other previous simulations performed
by authors is described in details.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ