Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The unsteady evolution of localized unidirectional deep water wave
  groups   We study the evolution of localized wave groups in unidirectional water wave
envelope equations (nonlinear Schrodinger (NLS) and modified NLS (MNLS)). These
localizations of energy can lead to disastrous extreme responses (rogue waves).
Previous studies have focused on the role of energy distribution in the
frequency domain in the formation of extreme waves. We analytically quantify
the role of spatial localization, introducing a novel technique to reduce the
underlying PDE dynamics to a simple ODE for the wave packet amplitude. We use
this reduced model to show how the scale- invariant symmetries of NLS break
down when the additional terms in MNLS are included, inducing a critical scale
for the occurrence of extreme waves.

8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga