Effects of dust temperature and trapped ions on the formation of dust-acoustic solitary waves

Alinejad, H.

doi:10.1016/j.physleta.2010.02.047

Cited by 10 publications

(6 citation statements)

References 26 publications

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“…for q > 1. It should be noted here that if we neglect the trapping effects, Equations (26,27) reduce to the expanded Tsallis density given by. [58] N…”

Section: Weakly Nonlinear Analysismentioning

confidence: 99%

“…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%

“…[23] Since then, several works have been devoted to studying the different acoustic modes in plasma media in the presence of trapped particles. [21][22][23][24][25][26][27][28] During the last two decades, the notion of particle trapping has been generalized to the case of non-Maxwellian plasmas. [29][30][31][32][33][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%

“…The effects of trapped and nonthermal electron distributions on IA solitary waves in three-component collisionless plasma are analysed by Alinedjed. [26] In a series of papers, Tribeche and his colleagues have studied the effect of nonextensive trapped electrons on the proprieties of IA solitary waves and their energy. [31,32] Also, Williams et al, [33] have investigated the propagation of ion acoustic waves (IAWs) in collisionless electron-ion plasma having suprathermal-trapped electrons, which are modelled by a kappa distribution function combined with a Schamel distribution.…”

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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“…for q > 1. It should be noted here that if we neglect the trapping effects, Equations (26,27) reduce to the expanded Tsallis density given by. [58] N…”

Section: Weakly Nonlinear Analysismentioning

confidence: 99%

“…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%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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show abstract

“…Clearly, there is a departure from the Boltzmann ion distribution and one encounters vortex-like ion distribution in the phase space. It is well known that such ion behavior drastically modifies the conditions for the existence of nonlinear structures such as SWs, shock waves, etc., which are not observed in dusty plasma with isothermal ions [19][20][21][22][23]. Of particular interest is the case that the vortex-like/trapped ion distribution often change toward a flat-topped ion distribution.…”

mentioning

confidence: 99%

Arbitrary amplitude dust-acoustic solitary waves in a dusty plasma with flat-topped ion distribution

Alinejad

2011

Physics Letters A

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Phase plane analysis of the dust-acoustic waves for the Burgers equation in a strongly coupled dusty plasma

Tamang

Saha

2020

Indian J Phys

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Effects of dust temperature and trapped ions on the formation of dust-acoustic solitary waves

Cited by 10 publications

References 26 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

Arbitrary amplitude dust-acoustic solitary waves in a dusty plasma with flat-topped ion distribution

Phase plane analysis of the dust-acoustic waves for the Burgers equation in a strongly coupled dusty plasma

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