Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ring Dirac Solitons in Nonlinear Topological Lattices   We study solitons of the two-dimensional nonlinear Dirac equation with
asymmetric cubic nonlinearity. We show that, with the nonlinearity parameters
specifically tuned, a high degree of localization of both spinor components is
enabled on a ring of certain radius. Such ring Dirac soliton can be viewed as a
self-induced nonlinear domain wall and can be implemented in nonlinear photonic
graphene lattice with Kerr-like nonlinearities. Our model could be instructive
for understanding localization mechanisms in nonlinear topological systems.

14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ