Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic waves of a discrete higher order nonlinear Schroedinger
  equation   The Hirota equation is a higher order extension of the nonlinear Schroedinger
equation by incorporating third order dispersion and one form of self
steepening effect. New periodic waves for the discrete Hirota equation are
given in terms of elliptic functions. The continuum limit converges to the
analogous result for the continuous Hirota equation, while the long wave limit
of these discrete periodic patterns reproduces the known result of the
integrable Ablowitz-Ladik system.

28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph