On the stability of obliquely propagating dust ion-acoustic solitary waves in hot adiabatic magnetized dusty plasmas

Shalaby, Mostafa; El‐Labany, S. K.; El-Shamy, E. F.; El-Taibany, W. F.; Khaled, Mahmood A. H.

doi:10.1063/1.3270111

Cited by 27 publications

(24 citation statements)

References 37 publications

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“…[48][49][50][51][52][53][54][55] Recently, Shalaby et al 53,54 and El-Taibany et al 55 have studied the dust ion-acoustic SWs and their instability by considering different plasma systems. [53][54][55] To the best of our knowledge, no attempt has been taken to study multidimensional instability (MDI) of the DA SWs in a magnetized four-component dusty plasma containing inertial negatively as well as positively charged dust particles and Boltzmann ions and electrons. Therefore, in our present investigation, we have studied the MDI of obliquely propagating DA SWs in a magnetized four-component dusty plasma system containing inertial negatively as well as positively charged dust particles, and Boltzmann ions and electrons.…”

Section: Introductionmentioning

confidence: 98%

Multi-dimensional instability of dust-acoustic solitary waves in a magnetized plasma with opposite polarity dust

2012

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Dust-acoustic (DA) solitary structures and their multi-dimensional instability in a magnetized dusty plasma (containing inertial negatively and positively charged dust particles, and Boltzmann electrons and ions) have been theoretically investigated by the reductive perturbation method, and the small-k perturbation expansion technique. It has been found that the basic features (polarity, speed, height, thickness, etc.) of such DA solitary structures, and their multi-dimensional instability criterion or growth rate are significantly modified by the presence of opposite polarity dust particles and external magnetic field. The implications of our results in space and laboratory dusty plasma systems have been briefly discussed.

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Section: Introductionmentioning

confidence: 98%

Multi-dimensional instability of dust-acoustic solitary waves in a magnetized plasma with opposite polarity dust

2012

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“…It is reasonable to expect that a higher growth rate would result in higher wave amplitude, as observed in our recent results. 28 Moreover, it should be mentioned here that the plasma is generally more unstable when negative ions are present.…”

Section: Discussionmentioning

confidence: 99%

“…They found that the effects of the adiabatic electrons and ions and the negatively charged static dust significantly modify the basic properties of the DIASWs. Recently, Shalaby et al 28 investigated the properties of oblique propagating DIASWs and their threedimensional stability in an adiabatic magnetized dusty plasma. It is stated that the instability criterion and the growth rate depend on the magnitude of the external magnetic field, obliqueness, concentration of charged dust grains, ion-neutral, and ion-dust collisions.…”

Section: Three-dimensional Stability Of Dust-ion Acoustic Solitary Wamentioning

confidence: 99%

Three-dimensional stability of dust-ion acoustic solitary waves in a magnetized multicomponent dusty plasma with negative ions

El-Taibany¹,

El-Bedwehy²,

El-Shamy³

2011

Physics of Plasmas

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Using the small-k expansion perturbation method, the three-dimensional stability of dust-ion acoustic solitary waves (DIASWs) in a magnetized multicomponent dusty plasma containing negative heavy ions and stationary variable-charge dust particles is analyzed. A nonlinear Zakharov–Kuznetsov equation adequate for describing these solitary structures is derived. Moreover, the basic features of the DIASWs are studied. The determination of the stability region leads to two different cases depending on the oblique propagation angle. In addition, the growth rate of the produced waves is estimated. The increase of either the negative ion number density or their temperatures or even the number density of the dust grains results in reducing the wave growth rate. Finally, the present results should elucidate the properties of DIASWs in a multicomponent plasma with negative ions, particularly in laboratory experiment and plasma process.

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“…The nonlinear propagation of the low-frequency DIA waves will give rise to solitary waves [12][13][14][15] or shock waves, [16][17][18] which were extensively studied by many authors during the past few years. In the magnetized dusty plasmas, the instability criterion and growth rate of the DIA waves depend on the external magnetic field and can be described by the Korteweg-de Vries ͑KdV͒ equation 12 or Kadomtsev-Petviashvili equation 13 or Zakharov-Kuznetsov equation 9 for the small amplitude DIA waves.…”

Section: The Effects Of Nonadiabatic Dust Charge Variation and Ultravmentioning

confidence: 99%

The effects of nonadiabatic dust charge variation and ultraviolet irradiation on the modulational instability of dust ion acoustic waves

et al. 2010

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The effects of nonadiabatic dust charge fluctuation on the nonlinear propagation of the dust ion acoustic (DIA) waves in the dusty plasma with positively charged dust grains have been investigated. By using the reductive perturbation technique, a three-dimensional modified nonlinear Schrödinger equation (mNLSE) governing the nonlinear envelope DIA waves was derived and the approximate solitary wave solution of the mNLSE was also obtained in the weak effect of nonadiabatic dust charge fluctuation limit, which shows that the amplitude of the DIA solitary wave exponentially decreases with time due to the collisionless dissipation caused by the nonadiabatic dust charge variation. The frequency, instability growth rate, and the critical modulational wave number of the small amplitude modulation are all dependent on photoelectron generated by ultraviolet irradiation and time due to the presence of nonadiabatic dust charge variation. The transverse perturbation plays an important role in the modulational instability region.

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On the stability of obliquely propagating dust ion-acoustic solitary waves in hot adiabatic magnetized dusty plasmas

Cited by 27 publications

References 37 publications

Multi-dimensional instability of dust-acoustic solitary waves in a magnetized plasma with opposite polarity dust

Multi-dimensional instability of dust-acoustic solitary waves in a magnetized plasma with opposite polarity dust

Three-dimensional stability of dust-ion acoustic solitary waves in a magnetized multicomponent dusty plasma with negative ions

The effects of nonadiabatic dust charge variation and ultraviolet irradiation on the modulational instability of dust ion acoustic waves

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