Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evaluating the Robustness of Rogue Waves Under Perturbations   Rogue waves, and their periodic counterparts, have been shown to exist in a
number of integrable models. However, relatively little is known about the
existence of these objects in models where an exact formula is unattainable. In
this work, we develop a novel numerical perspective towards identifying such
states as localized solutions in space-time. Importantly, we illustrate that
this methodology in addition to benchmarking known solutions (and confirming
their numerical propagation under controllable error) enables the continuation
of such solutions over parametric variations to non-integrable models. As a
result, we can answer in the positive the question about the parametric
robustness of Peregrine-like waveforms and even of generalizations thereof on a
cnoidal wave background.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph