Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rogue waves in the Davey-Stewartson equation   General rogue waves in the Davey-Stewartson-I equation are derived by the
bilinear method. It is shown that the simplest (fundamental) rogue waves are
line rogue waves which arise from the constant background with a line profile
and then disappear into the constant background again. It is also shown that
multi-rogue waves describe the interaction of several fundamental rogue waves.
These multi-rogue waves also arise from the constant background and then decay
back to it, but in the intermediate times, interesting curvy wave patterns
appear. However, higher-order rogue waves are found to show more interesting
features. Specifically, only part of the wave structure in the higher-order
rogue waves rises from the constant background and then retreats back to it,
and this transient wave exhibits novel patterns such as parabolas. But the
other part of the wave structure comes from the far distance as a localized
lump, which decelerates to the near field and interacts with the transient
rogue wave, and is then reflected back and accelerates to the large distance
again. These rogue-wave solutions have interesting implications for
two-dimensional surface water waves in the ocean.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph