Effect of nonextensive electron and ion on dust acoustic rogue waves in dusty plasma of opposite polarity

Zaghbeer, S. K.; Salah, H. H.; Sheta, N. H.; El-Shewy, Ε. K.; Elgarayh, A.

doi:10.1007/s10509-014-2081-x

Cited by 27 publications

(14 citation statements)

References 32 publications

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“…Misra and Chowdhury [26] studied MI of DAWs in a DP with non-thermal electrons and ions. Zaghbeer et al [27] examined the effects of q-distributed electrons and ions on DA RWs (DARWs) in opposite polarity DP. Moslem et al [28] investigated the DARWs in a q-distributed plasma and found that RWs are influenced by the plasma parameters.…”

Section: Introductionmentioning

confidence: 99%

Modulational instability, rogue waves, and envelope solitons in opposite polarity dusty plasmas

Chowdhury

Mannan

Rahman

et al. 2018

Chinese Journal of Physics

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Dust-acoustic (DA) waves (DAWs) and their modulational instability (MI) have been investigated theoretically in a plasma system consisting of inertial opposite polarity (positively and negatively) warm adiabatic charged dust particles as well as inertialess non-extensive q-distributed electrons and nonthermal ions. A nonlinear Schrödinger (NLS) equation is derived by using the reductive perturbation method. It has been observed from the analysis of NLS equaion that the modulationally stable solitary DAWs give rise to the existence of dark envelope solitons, and that the modulationally unstable solitary DAWs give rise to the existence of bright envelope solitons or rogue structures. It is also observed for the fast mode of DAWs that the basic features (viz. stability of the DAWs, MI growth rate, amplitude and width of the DA rogue waves, etc.) are significantly modified by the related plasma parameters (viz. dust masses, dust charge state, non-extensive parameter q, and non-thermal parameter α). The results of our present investigation might be useful for understanding different nonlinear electrostatic phenomena in both space (viz. ionosphere and mesosphere) and laboratory plasmas (viz. high intensity laser irradiation and hot cathode discharge).PACS. PACS-key discribing text of that key -PACS-key discribing text of that key

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Section: Introductionmentioning

confidence: 99%

Modulational instability, rogue waves, and envelope solitons in opposite polarity dusty plasmas

Chowdhury

Mannan

Rahman

et al. 2018

Chinese Journal of Physics

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“…The observation of these higher-(second-) order rogue waves (RWs) has been verified in laboratory experiment including theoretical investigation [37,38]. Numerous investigations of dust acoustic rogue waves have been reported in different plasma environments [43][44][45][46][47][48][49][50]. Singh and Saini [49] have observed that polarization force controls the MI domain of DA waves in a superthermal dusty plasma.…”

Section: Introductionmentioning

confidence: 84%

Breather Structures and Peregrine Solitons in a Polarized Space Dusty Plasma

Singh

Saini

2020

Front. Phys.

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In this theoretical investigation, we have examined the combined effects of nonthermally revamped polarization force on modulational instability MI of dust acoustic waves DAWs and evolution of different kinds of dust acoustic (DA) breathers in a dusty plasma consisting of negatively charged dust as fluid, Maxwellian electrons, and ions obeying Cairns’ nonthermal distribution. The nonthermality of ions has considerably altered the strength of polarization force. By employing the multiple-scale perturbation technique, the nonlinear Schrödinger equation NLSE is derived to study modulational MI instability of dust acoustic waves DAWs. It is noticed that influence of the polarization force makes the wave number domain narrow where MI sets in. The rational solutions of nonlinear Schrödinger equation illustrate the evolution of DA breathers, namely, Akhmediev breather, Kuznetsov–Ma breather, and Peregrine solitons (rogue waves). Further, the formation of super rogue waves due to nonlinear superposition of DA triplets rogue waves is also discussed. It is analyzed that combined effects of variation in the polarization force and nonthermality of ions have a comprehensive influence on the evolution of different kinds of DA breathers. It is remarked that outcome of present theoretical investigation may provide physical insight into understanding the role of nonlinear phenomena for the generation of various types of DA breathers in experiments and different regions of space (e.g., the planetary spoke and cometary tails).

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“…It is important to note that the distribution function with q < 1, compared with the Maxwellian limits, there are more particles with the velocities faster than the thermal speed, which is called the super‐extensive case, whereas the distribution function with q > 1 depicts a large number of low‐speed particles, which is called the sub‐extensive case. This q ‐non‐extensive distribution has been successfully employed in plasma physics, such as plasma oscillations in a collisionless thermal plasma, the thermal dispersion relation in a collisionless plasmas, dust‐charging processes, dust ion acoustic waves or dust acoustic waves in a dusty plasma by taking non‐extensive electrons, non‐extensive ions, or both to be non‐extensive, and ion and positron acoustic solitons in magnetized dusty plasma . Recently, a great deal of attention has been paid to the Bohm criterion and the sheath structure in plasma with non‐extensively distributed electrons .…”

Section: Introductionmentioning

confidence: 99%

Effects of non‐extensive electrons on the sheath of dusty plasmas with variable dust charge

Ghani

Driouch

Chatei

2019

Contributions to Plasma Physics

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In this study, a detailed investigation of the problem of sheath is presented using the fluid model in a magnetized three‐component dusty plasma system comprising positive ions, dust grains with variable charge and q‐non‐extensive electrons (i.e., the electrons evolve far away from their Maxwellian thermodynamic equilibrium [q = 1]). The effects of q‐non‐extensivity parameter on the plasma sheath parameters are studied numerically. A significant change is observed in the quantities characterizing the sheath with the presence of the super‐extensive electrons (q < 1) and sub‐extensive electrons (q > 1). In addition, based on the orbital motion limited theory, by taking various forces acting on the dust particle into consideration, the dynamics of the dust located within the sheath, that is, the dust grain charging inside the sheath, is examined under different values of q. It is found that the q‐non‐extensivity has affected significantly the dynamics and the charging process of the dust grains in the sheath.

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Effect of nonextensive electron and ion on dust acoustic rogue waves in dusty plasma of opposite polarity

Cited by 27 publications

References 32 publications

Modulational instability, rogue waves, and envelope solitons in opposite polarity dusty plasmas

Modulational instability, rogue waves, and envelope solitons in opposite polarity dusty plasmas

Breather Structures and Peregrine Solitons in a Polarized Space Dusty Plasma

Effects of non‐extensive electrons on the sheath of dusty plasmas with variable dust charge

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