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Subject: Mathematics × Author: Amanpreet Kaur × Start date: 2005 × Type: Thesis × Thesis Type: M.Sc ×
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    ThesisItemOpen Access
    Electron-acoustic waves in quantum plasma with κdeformed Kaniadakis hot electrons
    (Punjab Agricultural University, Ludhiana, 2020) Amanpreet Kaur; Parveen Bala
    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.