Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formation of rogue waves on the periodic background in a fifth-order
  nonlinear Schr\"odinger equation   We construct rogue wave solutions of a fifth-order nonlinear Schr\"odinger
equation on the Jacobian elliptic function background. By combining Darboux
transformation and the nonlinearization of spectral problem, we generate rogue
wave solution on two different periodic wave backgrounds. We analyze the
obtained solutions for different values of system parameter and point out
certain novel features of our results. We also compute instability growth rate
of both $dn$ and $cn$ periodic background waves for the considered system
through spectral stability problem. We show that instability growth rate
decreases (increases) for $dn$-$(cn)$ periodic waves when we vary the value of
the elliptic modulus parameter.

30
The categories of this paper are: q-alg
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex