Weakly dissipative solitons in dense relativistic-degenerate plasma

Ahmad, Sami; Ata-ur-Rahman, Ata-ur-Rahman; Khan, S. A.

doi:10.1007/s10509-015-2415-3

Cited by 6 publications

(2 citation statements)

References 36 publications

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“…The damped solitary wave structures having degenerate attributes of ultra-relativisitic electrons, with nonrelativistic ions, were investigated by Ahmad et al [15] The authors considered the neutral atom-electron and neutral atom-ion collisions using simple relaxation mechanism and concluded that the solitary wave is completely damped for τ → ∞.…”

Section: Introductionmentioning

confidence: 99%

Damped electrostatic ion acoustic solitary wave structures in quantum plasmas with Bohm potential and spin effects

2019

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Nonlinear properties of ion acoustic solitary waves are studied in the case of dense magnetized plasmas. The degenerate electrons with relative density effects from their spin states in the same direction and from equally probable up and down spinning states are taken up separately. Quantum statistical as well as quantum tunneling effects for both types of electrons are taken. The ions have large inertia and are considered classically, whereas the electrons are degenerate. The collisions of ions and electrons with neutral atoms are considered. We derive the deformed Korteweg de-Vries (DKdV) equation for small amplitude electrostatic potential disturbances by employing the reductive perturbation technique. The Runge-Kutta method is applied to solve numerically the DKdV equation. The analytical solution of DKdV is also presented with time dependence. We discuss the profiles for velocity, amplitude, and time variations in solitons for the cases when all the electrons are spinning in the same direction and for the case when there is equal probability of electrons having spin up and spin down. We have found that the wave is unstable because of the collisions between neutral gas molecules and the charged plasmas particles in the presence of degenerate electrons.

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Section: Introductionmentioning

confidence: 99%

Damped electrostatic ion acoustic solitary wave structures in quantum plasmas with Bohm potential and spin effects

2019

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“…Fig 4. Comparison between width (∆) and obliqueness parameter (δ) in considering non-relativistic (dotted curve) and ultra-relativistic (solid curve) cases.…”

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confidence: 99%

Instability Analysis of Positron-Acoustic Waves in a Magnetized Multi-Species Plasma

Hossen

Shah

Mamun

2017

Commun. Theor. Phys.

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The nonlinear propagation of electrostatic excitations and their multi-dimensional instability in a magnetized, degenerate electron-positron-ion (EPI) plasma system (containing inertial cold positrons, relativistic degenerate electrons and hot positrons, and negatively charged immobile heavy ions) are theoretically investigated. The reductive perturbation method is employed to derive the Zakharov–Kuznetsov equation which admits a localized solitary wave solution for small but finite amplitude limit, and the multi-dimensional instability of the positron acoustic solitary waves (PASWs) is studied by the small-k perturbation expansion method. It is found that the basic characteristics (viz. phase speed, amplitude, width) of the PASWs are significantly affected by the degree of obliqueness, relativistic degeneracy, and plasma particle number densities. The instability criterion and its growth rate, which are depending on the magnetic field and the propagation directions of both the PASWs, and their perturbation modes are discussed. The present analysis can be helpful in understanding the nonlinear phenomenon in dense astrophysical as well as space plasma systems, especially in pulsar environments.

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Homotopy perturbation method for studying dissipative nonplanar solitons in an electronegative complex plasma

Kashkari

El-Tantawy

Salas

et al. 2020

Chaos, Solitons & Fractals

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Weakly dissipative solitons in dense relativistic-degenerate plasma

Cited by 6 publications

References 36 publications

Damped electrostatic ion acoustic solitary wave structures in quantum plasmas with Bohm potential and spin effects

Damped electrostatic ion acoustic solitary wave structures in quantum plasmas with Bohm potential and spin effects

Instability Analysis of Positron-Acoustic Waves in a Magnetized Multi-Species Plasma

Homotopy perturbation method for studying dissipative nonplanar solitons in an electronegative complex plasma

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