Dust-ion acoustic waves modulation in dusty plasmas with nonextensive electrons

Pakzad, Hamid Reza; Javidan, Kurosh; Rafiei, Azam

doi:10.1007/s10509-014-2032-6

Cited by 14 publications

(6 citation statements)

References 53 publications

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“…To study the MI of the DIAWs, we want to derive the NLSE by employing the reductive perturbation method, and for that case, first we can write the stretched co-ordinates in the following form [24,25,26,27,28]…”

Section: Derivation Of Nlsementioning

confidence: 99%

“…where v g is the group speed and ǫ is a small parameter. Then we can write the dependent variables [24,25,26,27,28] as…”

Section: Derivation Of Nlsementioning

confidence: 99%

“…The stable and unstable parametric regimes of the DIAWs are organized by the sign of P and Q of the standard NLSE (38) [24,25,26,27,28,29,30,31,32]. When P and Q have same sign (i.e., P/Q > 0), the evolution of the DIAWs amplitude is modulationally unstable in presence of the external perturbations.…”

Section: Modulational Instability and Rogue Wavesmentioning

confidence: 99%

“…The nonlinear Schrödinger equation (NLSE) [18,19,20,21,22,23], which can solve the puzzle of nature, and associated rogue waves (RWs) are the most interesting theory in plasma physics, and are employed by a number of authors to investigate the modulational instability (MI) of the DAWs [24,25,26] and DIAWs [27,28] in nonlinear and dispersive plasma medium. Moslem et al [25] considered inertial massive dust grains and inertialess non-extensive electrons and ions to analyze numerically the condition of the MI of DAWs in presence of nonextensive plasma species, and observed that the critical wave number k c increases or decreases according to the sign and magnitude of the q. Bains et al [26] demonstrated the MI of the DAWs in a plasma having non-extensive electrons and ions.…”

Section: Introductionmentioning

confidence: 99%

“…Moslem et al [25] considered inertial massive dust grains and inertialess non-extensive electrons and ions to analyze numerically the condition of the MI of DAWs in presence of nonextensive plasma species, and observed that the critical wave number k c increases or decreases according to the sign and magnitude of the q. Bains et al [26] demonstrated the MI of the DAWs in a plasma having non-extensive electrons and ions. Pakzad et al [28] studied the stability criterion of the DI-AWs in a three component DPM by considering inertial ions, inertialess electrons and immobile massive dust grains.…”

Section: Introductionmentioning

confidence: 99%

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Modulational instability of dust-ion-acoustic mode and associated rogue waves in a non-extensive plasma medium

Tamanna,

Akter,

Chowdhury

et al. 2019

Preprint

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The modulational instability of dust-ion-acoustic (DIA) mode and associated rogue waves in a three component dusty plasma system (containing inertial warm ion and negatively charged dust fluids along with inertialess q-distributed electrons) has been theoretically investigated. A nonlinear Schrödinger equation (NLSE) has been derived by employing the reductive perturbation method. It is observed that the dusty plasma system under consideration supports the fast and slow DIA modes, and that the dispersion and nonlinear coefficients of the NLSE determine the parametric regimes not only for the modulationally stable and unstable fast DIA mode, but also for the formation of the DIA rogue waves. The parametric regimes for the modulational instability of the fast DIA mode, and the criterion for the formation of the DIA rogue waves have been found to be significantly modified by the effects of the relevant plasma parameters, particularly, mass and charge state of ion and dust species, number density of the plasma species, and non-extensive parameter q, etc. It is found that the modulationally stable parametric regime decreases (increases) with the increase in the value of positive (negative) q. The numerical analysis has also shown that the nonlinearity as well as the amplitude and width of the rogue waves increases (decreases) with the mass of positive ion (negative dust grains) while decreases (increases) with the charge state of the positive ion (negative dust). The applications of our present work in space (viz., Earth ionosphere, magnetosphere, molecular clouds, interstellar medium, cometary tails, and planetary rings, etc.) and laboratory plasmas have been pinpointed.

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