Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical stable Gaussian soliton supported by a parity-time-symmetric
  potential with power-law nonlinearity   We address the existence and stability of spatial localized modes supported
by a parity-time-symmetric complex potential in the presence of power-law
nonlinearity. The analytical expressions of the localized modes, which are
Gaussian in nature, are obtained in both (1+1) and (2+1) dimensions. A linear
stability analysis corroborated by the direct numerical simulations reveals
that these analytical localized modes can propagate stably for a wide range of
the potential parameters and for various order nonlinearities. Some dynamical
characteristics of these solutions, such as the power and the transverse
power-flow density, are also examined.

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The categories of this paper are: math
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat