Electron-acoustic waves in quantum plasma with κdeformed Kaniadakis hot electrons
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Date
2020
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Punjab Agricultural University, Ludhiana
Abstract
The propagation properties of electron acoustic waves (EAWs) are studied in the quantum
plasma system containing inertialess hot electrons, inertial cold electrons and stationary ions
which forms the charge neutralizing background for understanding the properties of solitary
wave structures. It is assumed that hot electrons follow κ-deformed Kaniadakis distribution,
governed by parameter κ. The dispersion relation is obtained using the linearization method.
Using the appropriate stretched coordinates and reductive perturbation method (RPM) the
Korteweg-de Vries (KdV) and modified KdV (mKdV) equation has been derived. For the
analysis, a limit of range of deformation parameter (κ) has been set as -0.4≤κ ≤0.4. For the
defined range, it has been observed that plasma system supports rarefactive solitary structures.
The amplitude and width of KdV soliton have been significantly affected by quantum
parameter (H), whereas amplitude and width of solitary wave remains unaffected by
deformation parameter (κ). The analysis was further extended to explain double layers
solution in such plasma system. It is found that rarefactive double layers significantly depend
on deformation parameter (κ), quantum parameter (H) and hot to cold electron density ratio
(α). The presented investigation may be helpful to understand the study of nonlinear waves in
the astrophysical plasmas.
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Citation
Amanpreet Kaur (2020). Electron-acoustic waves in quantum plasma with κdeformed Kaniadakis hot electrons (Unpublished M.Sc. thesis). Punjab Agricultural University, Ludhiana, Punjab, India.