Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability analysis of generalized Lugiato-Lefever equation with lumped
  filter for Kerr optical soliton generation in anomalous dispersion regime   We raise a detuning-dependent loss mechanism to describe the soliton
formation dynamics when the lumped filtering operation is manipulated in
anomalous group velocity dispersion regime, using stability analysis of
generalized Lugiato-Lefever equation.

13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th