Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recurrence in the high-order nonlinear Schr\"odinger equation: a low
  dimensional analysis   We study a three-wave truncation of the high-order nonlinear Schr\"odinger
equation for deepwater waves (HONLS, also named Dysthe equation). We validate
our approach by comparing it to numerical simulation, distinguish the impact of
the different fourth-order terms and classify the solutions according to their
topology. This allows us to properly define the temporary spectral upshift
occurring in the nonlinear stage of Benjamin-Feir instability and provides a
tool for studying further generalizations of this model.

34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph