Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topologically nontrivial states in one-dimensional nonlinear bichromatic
  superlattices   We study topological properties of one-dimensional nonlinear bichromatic
superlattices and unveil the effect of nonlinearity on topological states. We
find the existence of nontrivial edge solitions, which distribute on the
boundaries of the lattice with their chemical potential located in the linear
gap regime and are sensitive to the phase parameter of the superlattice
potential. We further demonstrate that the topological property of the
nonlinear Bloch bands can be characterized by topological Chern numbers defined
in the extended two-dimensional parameter space. In addition, we discuss that
the composition relations between the nolinear Bloch waves and gap solitions
for the nonlinear superlattices. The stabilities of edge solitons are also
studied.

19
The categories of this paper are: eess
1
The categories of this paper are: cs
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat