Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rogue waves on the double-periodic background in the focusing nonlinear
  Schrodinger equation   The double-periodic solutions of the focusing nonlinear Schrodinger equation
have been previously obtained by the method of separation of variables. We
construct these solutions by using an algebraic method with two eigenvalues.
Furthermore, we characterize the Lax spectrum for the double-periodic solutions
and analyze rogue waves arising on their background. Magnification of the rogue
waves is studied numerically.

37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an