Effects of trapped ions concentration on the dynamics of dust‐acoustic periodic travelling waves in dusty plasmas

Selim, M. M.; Abdelaleem, H.; El-Bedwehy, N. A.; El-Shamy, E. F.

doi:10.1002/ctpp.202100153

Cited by 3 publications

(2 citation statements)

References 52 publications

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“…[ 23 ] Since then, several works have been devoted to studying the different acoustic modes in plasma media in the presence of trapped particles. [ 21–28 ] During the last two decades, the notion of particle trapping has been generalized to the case of non‐Maxwellian plasmas. [ 29–34 ] For example, Aoutou et al, [ 30 ] have investigated DA solitons in a plasma consisting of nonthermal‐superthermal‐trapped ions and suprathermal electrons.…”

Section: Introductionmentioning

confidence: 99%

Effect of Tsallis–Gurevich distributed ions on nonlinear dust‐acoustic oscillations in collisionless nonextensive plasma

Benaiche

Bacha

Merriche

et al. 2023

Contributions to Plasma Physics

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Both linear and weakly nonlinear dust‐acoustic (DA) solitons propagation are revisited in the presence of adiabatically trapped‐nonextensive ions. A physically relevant distribution (called Tsallis‐Gurevich ions distribution) is outlined here for the first time. The effect of particle trapping has been taken into account, resulting in a new expression for the ion density. The role a background ion nonextensivity may play on the main proprieties (viz., dispersion relation and soliton's profile) of DA mode, inherent to space dusty plasma, is then analysed. In the q > 1 case, we have shown that as the nonextensive character of trapped ions increases in the plasma, the potential pulse amplitude increases while its width is narrowed. The modifications prompted by the presence of adiabatically trapped‐nonextensive ions on both DA energy and solitary wave's electric field are also analysed. Interestingly, we have found that DA soliton energy increases as the ions evolve far away from their Maxwellian extensive trapping. Also, it is found that, for q > 1, the stronger the inter‐ions correlation, the stronger the electric field. Our investigation, motivated by space and laboratory plasma observations of plasmas containing non‐Maxwellian particles alongside trapped particles, may complement and provide new insight into previously published works dealing with solitary waves in plasma.

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Section: Introductionmentioning

confidence: 99%

Effect of Tsallis–Gurevich distributed ions on nonlinear dust‐acoustic oscillations in collisionless nonextensive plasma

Benaiche

Bacha

Merriche

et al. 2023

Contributions to Plasma Physics

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“…Again, it is observed that the theoretical results and predictions may vary from the experimental results [27,28]. To make an improvement, researchers used the reductive perturbation method [29][30][31] in a wide range including the higher-order nonlinear and dissipative terms that give an inhomogeneous differential equation. They took the aid of Abel's theorem and the variation of parameter method to analyze such equations.…”

Section: Introductionmentioning

confidence: 99%

The higher-order nonlinearity and parametric effects on dust-ion-acoustic shock waves

Salam¹,

Matkan²,

Ali³

et al. 2022

Phys. Scr.

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In the case of obliquely propagated small-amplitude shock waves, in this study, we investigate the impacts of higher order nonlinearity, dust concentrations, viscosity, trapping parameter, etc., on the shock wave structures. The considered magnetized plasma system consists of three components, such as inertial positive ions (mobile), trapped electrons, and immobile negatively charged dust particles. The modified Burger equation (MBE) as well as a linear inhomogeneous equation with dominating dissipative term (in which viscous effect is significant), are derived to observe the variations in shock wave profiles. From the theoretical investigation, we observe that the higher-order nonlinearity has pronouncing effect on the shock amplitude. Furthermore, the viscosity (dust concentration) increases the shock width (the phase speed). Several mathematical techniques, such as the reductive perturbation method, the Abel’s theorem, the method of variation of parameters have been used as the supportive tools.

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Dust-acoustic periodic travelling waves in a magnetized dusty plasma with trapped ions and nonthermal electrons in astrophysical situations: oblique excitations

El-Shamy

Selim²

2022

Astrophys Space Sci

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Obliquely propagating three-dimensional dust-acoustic periodic travelling waves (DAPTWs) has been undertakenin a magnetized dusty plasma composed of negatively charged inertial dust particles, trapped ions, and nonthermal fast electrons. In a dusty plasma model at hand, the dynamic behaviors of DAPTWs are governed by a Schamel equation. The presence of dust acoustic solitary waves (DASWs) and DAPTWs is investigated via bifurcation analysis of the Hamiltonian system. In the nonlinear regime, the Sagdeev potential and phase portrait structures indicate the presence of smallamplitude DAPTW solutions. The influences of intrinsic physical parameters include the strength of the static magnetic field, the obliqueness of propagation,the thermal pressure of charged dust grains, the electron to dust density ratio, the trapping parameter of trapped ions and the degree of nonthermality of fast electrons on the characteristics of DAPTWs are simulated numerically. In particular, the findings illustrate that the amplitude of DAPTWs is reduced as the numerical values of the trapping parameterare decreased.Interestingly, the numerical results of the theoretical simulations can be used to significantly highlight the physical nature of DAPTWs in astrophysical situations such as Earth's magnetosphere, auroral region, and heliospheric environments.

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Effects of trapped ions concentration on the dynamics of dust‐acoustic periodic travelling waves in dusty plasmas

Cited by 3 publications

References 52 publications

Effect of Tsallis–Gurevich distributed ions on nonlinear dust‐acoustic oscillations in collisionless nonextensive plasma

Effect of Tsallis–Gurevich distributed ions on nonlinear dust‐acoustic oscillations in collisionless nonextensive plasma

The higher-order nonlinearity and parametric effects on dust-ion-acoustic shock waves

Dust-acoustic periodic travelling waves in a magnetized dusty plasma with trapped ions and nonthermal electrons in astrophysical situations: oblique excitations

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