Dust-ion-acoustic solitary waves and their multi-dimensional instability in a magnetized dusty electronegative plasma with trapped negative ions

Rahman, O.; Mamun, A. A.; Ashrafi, K. S.

doi:10.1007/s10509-011-0748-0

Cited by 36 publications

(14 citation statements)

References 41 publications

(39 reference statements)

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“…To study the properties of the SWs propagating in the present system we follow the same procedure as [15] to get the steady state solution of the well-known mZK equation. Therefore, after some iterative mathematical calculation (not shown here), one can obtain:…”

Section: Sw Solution Of the Mzk Equationmentioning

confidence: 99%

“…Sayed et al [14] have studied the DIASWs in an unmagnetized multi-ion dusty plasma containing inertia-less isothermal electrons, cold inertial positive and negative ions, and negatively charged static dust. Rahman et al [15] have theoretically studied the basic properties (phase speed, amplitude, and width) and multidimensional instability of the obliquely propagating DIASWs in a magnetized four components dusty electronegative plasmas which contains isothermal electrons, non-isothermal trapped negative ions, cold mobile positive ions, and arbitrarily charged stationary dust by deriving mZK equations instead of usual ZK equations due to trapped negative ions. Kundu et al [16] have investigated the nonlinear propagation of the obliquely propagating DIASWs and multidimensional instability in a four-component magnetized dusty electronegative plasmas and found that the effects of nonthermal negative ions significantly modify the nature of the DIASWs structures in a dusty plasma.…”

Section: Introductionmentioning

confidence: 99%

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Dust-ion-acoustic Solitary Waves and Their Instability in a Magnetized Adiabatic Dusty Electronegative Plasma

Rahman¹,

Haider²

2019

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The basic features of a nonlinear obliquely propagating dust-ion-acoustic (DIA) solitary waves (SWs) in a magnetized adiabatic dusty electronegative plasma (MADENP) containing Maxwellian electrons, vortex-like (trapped) negative ions, positively charged stationary dust, and adiabatic mobile inertial positive ions have been theoretically investigated. The well known modified Zakharov Kuznetsov (mZK) is derived by using the reductive perturbation technique. The dependence of solitary wave structures on positive ion adiabaticity, external magnetic field (obliqueness), trapped negative ions, and positively charged stationary dust are studied explicitly. The three-dimensional instability of this DIASWs is also analyzed using small-k perturbation expansion technique. It is found that the nature of DIASW, the instability criterion and the growth rate of unstable perturbations are significantly modified by the external magnetic field, the propagation directions of both the nonlinear waves and their perturbation modes.

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Section: Sw Solution Of the Mzk Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dust-ion-acoustic Solitary Waves and Their Instability in a Magnetized Adiabatic Dusty Electronegative Plasma

Rahman¹,

Haider²

2019

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“…Accordingly, they may follow a vortex-like distribution [34], which affect drastically on the nonlinear propagation mode. Some recent theoretical studies focused on the effects of ion and electron trapping which is common not only in space plasmas but also in laboratory experiments [1,30,37]. El-Wakil et al [11] theoretically investigated higher order contributions to nonlinear DA waves that propagate in a mesospheric dusty plasma with a complete depletion of the background (electrons and ions).…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear analysis of dust acoustic waves in dissipative space dusty plasmas with trapped ions

et al. 2015

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The propagation of linear and nonlinear dust acoustic waves in a homogeneous unmagnetized, collisionless and dissipative dusty plasma consisted of extremely massive, micron-sized, negative dust grains has been investigated. The Boltzmann distribution is suggested for electrons whereas vortex-like distribution for ions. In the linear analysis, the dispersion relation is obtained, and the dependence of damping rate of the waves on the carrier wave number k, the dust kinematic viscosity coefficient g d and the ratio of the ions to the electrons temperatures r i is discussed. In the nonlinear analysis, the modified Korteweg-de Vries-Burgers (mKdV-Burgers) equation is derived via the reductive perturbation method. Bifurcation analysis is discussed for non-dissipative system in the absence of Burgers term. In the case of dissipative system, the tangent hyperbolic method is used to solve mKdV-Burgers equation, and yield the shock wave solution. The obtained results may be helpful in better understanding of waves propagation in the astrophysical plasmas as well as in inertial confinement fusion laboratory plasmas.

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“…The presence of trapped ions can significantly modify the wave propagation characteristics in collisionless plasmas, so one considers vortex-like ion distributions in phase space instead of the usual Boltzmann law (Schamel 1982;Schamel et al 2001). Some recent theoretical studies focused on the effects of ion and electron trapping which is common not only in space plasmas but also in laboratory experiments (Schamel 1972(Schamel , 1975Mamun et al 1996;Shchekinov 1997;Rahman et al 2011;Alinejad 2012;El-Labany et al 2012). However, the effects of vortex-like ion distribution on nonlinear DA solitary and shock waves in a strongly coupled dusty plasma or in a magnetized dusty plasma were examined (Mamun 1998;Mamun et al 2004;Anowar et al 2009).…”

Section: Introductionmentioning

confidence: 99%

Dust-acoustic solitary waves in a dusty plasma with dust of opposite polarity and vortex-like ion distribution

2013

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The nonlinear propagation of small but finite-amplitude dust-acoustic solitary waves in an unmagnetized, collisionless dusty plasma has been investigated. The fluid model is a generalization to the model of Mamun and Shukla to a more realistic space dusty plasma in different regions of space, viz., cometary tails, mesosphere, and Jupiter's magnetosphere, by considering a four-component dusty plasma consisting of the charged dusty plasma of opposite polarity, isothermal electrons and vortex-like ion distributions in the ambient plasma. A reductive perturbation method was employed to obtain a modified Korteweg-de Vries equation for the first-order potential. The effect of the presence of a positively charged dust fluid, the specific charge ratio μ, the temperature of the positively charged dust fluid, the ratio of constant temperature of free hot ions and the constant temperature of trapped ions, and ion temperature on the soliton properties and dusty grains energy are discussed.

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Dust-ion-acoustic solitary waves and their multi-dimensional instability in a magnetized dusty electronegative plasma with trapped negative ions

Cited by 36 publications

References 41 publications

Dust-ion-acoustic Solitary Waves and Their Instability in a Magnetized Adiabatic Dusty Electronegative Plasma

Dust-ion-acoustic Solitary Waves and Their Instability in a Magnetized Adiabatic Dusty Electronegative Plasma

Linear and nonlinear analysis of dust acoustic waves in dissipative space dusty plasmas with trapped ions

Dust-acoustic solitary waves in a dusty plasma with dust of opposite polarity and vortex-like ion distribution

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