Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dust-acoustic envelope solitons and rogue waves in an electron depleted
  plasma   Theoretical investigation of the nonlinear propagation and modulational
instability (MI) of the dust acoustic (DA) waves (DAWs) in an unmagnetized
electron depleted dusty plasma (containing opposite polarity warm dust grains
and non-extensive positive ions) has been made by deriving a nonlinear
Schr\"{o}dinger equation with the help of perturbation method. Two types of
mode, namely, fast and slow DA modes, have been found. The criteria for the
formation of bright and dark envelope solitons as well as the first-order and
second-order rogue waves have been observed. The effects of various dusty
plasma parameters (viz., dust mass, dust charge, dust and ion number densities,
etc.) on the MI of DAWs have been identified. It is found that these dusty
plasma parameters significantly modify the basic features of the DAWs. The
applications of the results obtained from this theoretical investigation in
different regions of space, viz., magnetosphere of Jupiter, upper mesosphere,
Saturn's F-ring, and cometary tail, etc.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph