Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modulational instability of dust-ion-acoustic waves and associated first
  and second-order rogue waves in super-thermal plasma   A proper theoretical research has been carried out to explore the
modulational instability (MI) conditions of dust-ion-acoustic (DIA) waves
(DIAWs) in a three-component dusty plasma system containing inertialess
$\kappa$-distributed electrons, and inertial warm positive ions and negative
dust grains. The novel nonlinear Schr\"{o}dinger equation (NLSE) has been
derived by employing the reductive perturbation method. The analysis under
consideration demonstrates two types of modes, namely, fast and slow DIA modes.
The dispersion and nonlinear properties of the plasma medium, as well as the MI
conditions of DIAWs and the configuration of the energetic rogue waves (RWs)
associated with DIAWs in the Modulationally unstable regime, have been
rigorously changed by the plasma parameters, namely, charge, mass, temperature,
and number density of the plasma species. The findings of our investigation
will be useful in understanding the criteria for the formation of electrostatic
RWs in both astrophysical environments (viz., Jupiter's magnetosphere, cometary
tails, Earth's mesosphere, Saturn's rings, etc.) and laboratory experiments
(viz., Q-machines and Coulomb-crystal).

28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc