Electron-Acoustic Solitary Waves in a Two-Temperature Plasma Having Electrons With Kappa Distribution

Akter, Tania; Deeba, F.; Kamal-Al-Hassan, Md.

doi:10.1109/tps.2016.2582832

Cited by 11 publications

(1 citation statement)

References 58 publications

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“…In plasmas with two-temperature electrons, the nonlinear theory of EAWs has been investigated by many authors, however, using the fluid theory approach, i.e., without the Landau damping effects [10,11]. On the other hand, after the work of Ott and Sudan [12] on nonlinear theory of ion-acoustic waves with linear Landau damping, many authors have studied the Landau damping of low-frequency electrostatic waves [13][14][15] as well as high-frequency wave envelopes [16,17], however, no nonlinear theory of EAWs with Landau damping has been developed in the context of quantum plasmas.…”

Section: Introductionmentioning

confidence: 99%

Landau damping of electron-acoustic waves due to multi-plasmon resonances

Misra,

Chatterjee,

Brodin

2021

Preprint

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The linear and nonlinear theories of electron-acoustic waves (EAWs) are studied in a partially degenerate quantum plasma with two-temperature electrons and stationary ions. The initial equilibrium of electrons is assumed to be given by the Fermi-Dirac distribution at finite temperature. By employing the multi-scale asymptotic expansion technique to the one-dimensional Wigner-Moyal and Poisson equations, it is shown that the effects of multi-plasmon resonances lead to a modified complex Korteweg-de Vries (KdV) equation with a new nonlocal nonlinearity. Besides giving rise to a nonlocal nonlinear term, the wave-particle resonance also modifies the local nonlinear coupling coefficient of the KdV equation. The latter is shown to conserve the number of particles, however, the wave energy decays with time. A careful analysis shows that the two-plasmon resonance is the dominant mechanism for nonlinear Landau damping of EAWs. An approximate soliton solution of the KdV equation is also obtained, and it is shown that the nonlinear Landau damping causes the wave amplitude to decay slowly with time compared to the classical theory.

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Section: Introductionmentioning

confidence: 99%

Landau damping of electron-acoustic waves due to multi-plasmon resonances

Misra,

Chatterjee,

Brodin

2021

Preprint

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Small amplitude solitary electron acoustic wave for hot electrons taking regularized kappa distribution

Liu,

Wang

2024

Contrib. Plasma Phys

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The properties of small‐amplitude solitary electron acoustic waves in a plasma where the hot electrons take regularized kappa distribution are investigated via the reductive perturbation method. It is found there only exists the sup‐electron‐acoustic rarefactive soliton, the electron acoustic velocity is modified by the regularized kappa distribution. The amplitude and width of the electron acoustic soliton decrease monotonously with the increase of the exponential cutoff parameter of hot electrons. But they vary with respect to the spectral index non‐monotonously. As to the observed parameters in the Earth's inner magnetosphere, the speed, electric field strength, and the width of solitary electron acoustic wave are comparable with the observations.

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