Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-dimensional solitons in conservative and parity-time-symmetric
  triple-core waveguides with cubic-quintic nonlinearity   We analyze a system of three two-dimensional nonlinear Schr\"odinger
equations coupled by linear terms and with the cubic-quintic
(focusing-defocusing) nonlinearity. We consider two versions of the model:
conservative and parity-time ($\mathcal{PT}$) symmetric. These models describe
triple-core nonlinear optical waveguides, with balanced gain and losses in the
$\mathcal{PT}$-symmetric case. We obtain families of soliton solutions and
discuss their stability. The latter study is performed using a linear stability
analysis and checked with direct numerical simulations of the evolutional
system of equations. Stable solitons are found in the conservative and
$\mathcal{PT}$-symmetric cases. Interactions and collisions between the
conservative and $\mathcal{PT}$-symmetric solitons are briefly investigated, as
well.

31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int