Dust-ion-acoustic Solitary Waves in Multi-component Magnetized Plasmas

Haider, M. M.; Duha, S. S.; Ferdous, Tahmina; Mamun, A. A.

doi:10.15764/mphy.2014.02002

Cited by 14 publications

(11 citation statements)

References 43 publications

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“…But the most real plasmas are magnetized, and it can change its characteristics according to the wave direction. Considering this magnetic properties Haider et al [18] have studied the instability of solitary structure containing positive and negative ions, Mxwellian electrons and positively and negatively charges stationary dust. These modes are only valid if a complete depletion of the background electrons and ions is possible, and both positive and negative dust fluids are cold.…”

Section: Introductionmentioning

confidence: 99%

Instability due to trapped electrons in magnetized multi-ion dusty plasmas

2015

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An attempt has been made to find out the effects of trapped electrons in dust-ion-acoustic solitary waves in magnetized multi-ion plasmas, as in most space plasmas, the hot electrons follow the trapped/vortex-like distribution. To do so, we have derived modified Zakharov-Kuznetsov equation using reductive perturbation method and its solution. A small-k perturbation technique was employed to find out the instability criterion and growth rate of such a wave.

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Section: Introductionmentioning

confidence: 99%

Instability due to trapped electrons in magnetized multi-ion dusty plasmas

2015

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“…To derive the Korteweg-de Vries (K-dV) equation from the normalized equations (1)-(3) by employing the reductive perturbation technique, we have introduced stretched co-ordinates as [7,21], where ϵ is the smallness parameter measuring the weakness of the amplitude or dispersion and v p is the phase speed of the system normalized by C p . The perturbed quantities can be expanded about their equilibrium values in powers of ϵ as n p = 1 + ϵn…”

Section: Solitary Wavementioning

confidence: 99%

“…Mishra et al [4] studied the obliquely propagating ion-acoustic solitary waves in a multi-component magnetized plasma consisting of warm adiabatic positive and negative ion species and hot isothermal electrons. Haider et al have studied the nonlinear propagation of IA solitary waves with EPIs and ENIs for Maxwellian [6,5], trapped [7,8], and nonthermal [9,10] distributed electrons. Nakamura and Tsukabayashi [11] have studied experimentally the propagation of ion-acoustic solitons in a plasma with negative ions.…”

Section: Introductionmentioning

confidence: 99%

Nonthermal Distribution of Electro-negative Light-ions in Heavy-ion-acoustic Solitary and Shock Structures

Haider¹,

Sultana²,

Khatun³

et al. 2019

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An attempt has been taken to study the nonlinear propagation of electro-positive heavy ion-acoustic (EPHIA) solitary and shock waves in multi-component plasmas containing mobile electro-positive heavy ions (EPHIs), nonthermal distributed electro-negative light ions (ENLIs) and Maxwellian electrons. The effects of temperature, mobile EPHIs, ENLIs and its nonthermality on solitary and shock waves are investigated in present work. To do so, we have derived the standard Korteweg-de Vries (K-dV) and Burger equations and their solutions. We have studied the effects of the parametric regimes, which affect the solitary and shock waves, numerically as well as graphically.4. Below (above) the critical value of ENLIs concentration the solitary and shock waves are associated with positive (negative) potentials. And also negative (positive) potentials are found below (above) the critical value of the nonthermal parameter (α). 5. Maxwellian electrons concentration makes the lower amplitude solitary and shock waves. 6. The width of solitary structures decreases with increasing α, σ p , µ n and µ e ; i.e. the solitary waves will be spiky for the higher values of these. 7. The width of the shock waves is a linear function of the viscus coefficient, i.e. spiky profile of the shock waves are found for the lower value of the viscus coefficient.We hope that our present investigations may be helpful to understand the effect of heavy ion on EPHIA solitary and shock waves in multi-component electron-ion plasmas in laboratory and astrophysical system like radio wave propagation in the ionosphere [12] and also give a guideline to further development in the relevant field.

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“…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. Haider et al [17] have also studied the DIA SWs waves in multi-component magnetized dusty plasmas which consist of negative and positive ions, Boltzmann distributed hot electrons, and immobile negative and positive dust grains. Haider et al [18] have also theoretically investigated the nonlinear propagation of DIA solitary structures in a magnetized dusty plasma consisting negatively and positively charged ion fluid, trapped electrons following a vortexlike distribution, and arbitrary charged stationary dust where restoring force provided by the thermal pressure of electrons and the inertia is due to the ion mass for instability analysis.…”

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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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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Dust-ion-acoustic Solitary Waves in Multi-component Magnetized Plasmas

Cited by 14 publications

References 43 publications

Instability due to trapped electrons in magnetized multi-ion dusty plasmas

Instability due to trapped electrons in magnetized multi-ion dusty plasmas

Nonthermal Distribution of Electro-negative Light-ions in Heavy-ion-acoustic Solitary and Shock Structures

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

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