Weakly Nonlinear Dust-Ion-Acoustic Solitons in an Electronegative Collisionless Dusty Plasma With Cairns–Gurevich Distributed Electrons

Bouchemla, N.; Merriche, Abderrzak; Amour, Rabia

doi:10.1109/tps.2021.3123308

Cited by 4 publications

(3 citation statements)

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“…Substituting Equations (23,24,26,27) into the basic Equations (18)(19)(20) and collecting the coefficients of the same powers of 𝜀, in the first order, we get…”

Section: Weakly Nonlinear Analysismentioning

confidence: 99%

“…[5][6][7][8][9][10][11][12] Generally, DA and/or dust-ion-acoustic (DIA) solitary waves have been studied utilizing Maxwellian and non-Maxwellian distribution functions. [13][14][15][16][17][18][19] Indeed, it is by now shown that the presence of non-Maxwellian (nonthermal, suprathermal, trapped, nonextensive, etc.) particles modifies nonlinear solitary wave proprieties.…”

Section: Introductionmentioning

confidence: 99%

“…More recently, some authors have introduced the concept of non-Maxwellian adiabatically-trapped particles in the study of plasma nonlinear phenomena. [16,18,19,35,36] For example, Ouazene and Amour [35] have reviewed small and arbitrary amplitude DA solitary structures in collisionless dusty plasma with ions satisfying the one-dimensional (1D) Cairns-Gurevich distribution. Both linear and weakly nonlinear DA solitary waves in collisionless polarized dusty plasma with adiabatically trapped nonthermal ions have been analysed by Arab and his team.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Substituting Equations (23,24,26,27) into the basic Equations (18)(19)(20) and collecting the coefficients of the same powers of 𝜀, in the first order, we get…”

Section: Weakly Nonlinear Analysismentioning

confidence: 99%