Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the characterization of breather and rogue wave solutions of an
  inhomogeneous nonlinear Schr\"odinger equation   We construct breather and rogue wave solutions of a variable coefficient
nonlinear Schr\"odinger equation with an external linear potential. This
generalized model describes the nonlinear wave propagation in an inhomogeneous
plasma/medium. We derive several localized solutions including Ma breather,
Akhmediev breather, two-breather and rogue wave solutions of this model and
show how the inhomogeneity of space modifies the shape and orientation of these
localized structures. We also depict the trajectories of the inhomogeneous
rogue wave. Our results may be useful for controlling plasmonic energy along
the plasma surface.

32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg