Nonlinear propagation of dust-acoustic waves in an unmagnetized dusty plasma with nonthermal electron and vortex-like ion distribution

Paul, Abhijit; Mandal, Gurudas; Mamun, A. A.; Amin, M. R.

doi:10.1063/1.4826591

Cited by 13 publications

(13 citation statements)

References 27 publications

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“…Next, for the dynamical evolution of the small-amplitude electrostatic DA perturbations we follow the same RPT as in Refs. [28,35,36]. Note that the reductive perturbation method is a very powerful way of deriving nonlinear evolution equations in simplified forms for the propagation of different kind of waves and their interactions in various nonlinear media.…”

Section: Basic Equations and The Derivation Of Kdv-like Equationmentioning

confidence: 99%

“…It was pointed out that the higher-order approximation enhances the amplitude of the DA waves [41]. Furthermore, the nonlinear propagation of DA waves has been investigated in unmagnetized dusty plasmas consisting of Boltzmannian [35] or nonthermal [36] electrons and vortex-like ions . However, no theory has been reported so far for the oblique propagation of DA waves in a magnetized dusty plasma with nonthermal electrons and trapped ions.…”

Section: Introductionmentioning

confidence: 99%

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Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions

Misra

Wang

2015

Communications in Nonlinear Science and Numerical Simulation

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The nonlinear propagation of electrostatic dust-acoustic (DA) waves in a magnetized dusty plasma consisting of negatively charged mobile dusts, nonthermal fast electrons and trapped ions with vortex-like distribution is studied. Using the reductive perturbation technique, a Korteweg-de Vries (KdV)-like equation is derived which governs the dynamics of the small-amplitude solitary waves in a magnetized dusty nonthermal plasma. It is found that due to the dust thermal pressure, there exists a critical value (β c ) of the nothermal parameter β (> 1), denoting the percentage of energetic electrons, below which the DA solitary waves cease to propagate. The soliton solution (travelling wave) of the KdV-like equation is obtained, and is shown to be only of the rarefactive type. The properties of the solitons are analyzed numerically with the system parameters. It is also seen that the effect of the static magnetic field (which only modifies the soliton width) becomes significant when the dust gyrofrequency is smaller than one-tenth of the dust plasma frequency. Furthermore, the amplitude of the soliton is found to increase (decrease) when the ratio of the free to trapped ion temperatures (σ) is positive (negative). The effects of the system parameters including the obliqueness of propagation (l z ) and σ on the dynamics of the DA solitons are also discussed numerically, and it is found that the soliton structures can withstand perturbations and turbulence during a considerable time. The results should be useful for understanding the nonlinear propagation of DA solitary waves in laboratory and space plasmas (e.g., Earth's magnetosphere, auroral region, heliospheric environments etc.).

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Section: Basic Equations and The Derivation Of Kdv-like Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions

Misra

Wang

2015

Communications in Nonlinear Science and Numerical Simulation

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“…The presence of nonthermal electrons, where the fast electrons distribution can be obtained by Vlasov equation [39], can modify linear DA waves [40] and nonlinear DA solitary waves [41] in dusty plasmas. Accordingly, in this paper we will also consider the combined effects of nonthermal electrons and trapped ions with vortex-like distribution on the properties of DA waves, which have potential application in space plasma environments [42].…”

Section: Introductionmentioning

confidence: 99%

“…The nonthermal distribution of electrons can be modeled by the Cairns distribution [44], while the distribution of free as well as trapped particles can be considered as prescribed by Schamel [45]. Accordingly the effects of nonthermal electrons [46][47][48][49][50] and trapped ions with vortex-like distribution [51][52][53][54] on the properties of electrostatic DA waves have been well studied in magnetized or unmagnetized plasma.…”

Section: Introductionmentioning

confidence: 99%

The nonadiabatic dust charge variation on dust acoustic solitary and shock waves in strongly coupled dusty plasmas

Wang

Guo

et al. 2016

Physics Letters A

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“…It has been shown that pair-ion plasmas with positively charged dusts support DIA solitons only of the rarefactive type. There are, however, a number of recent works dealing with the nonlinear properties of solitary waves [12][13][14][15][16][17][18][19][20][21] , electrostatic ion-cyclotron waves 22 shocks 23 in other plasma environments.…”

Section: Introductionmentioning

confidence: 99%

Oblique propagation of dust ion-acoustic solitary waves in a magnetized dusty pair-ion plasma

Misra

Barman

2014

Physics of Plasmas

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We investigate the propagation characteristics of electrostatic waves in a magnetized pair-ion plasma with immobile charged dusts. It is shown that obliquely propagating (OP) low-frequency (in comparison with the negative-ion cyclotron frequency) long-wavelength "slow" and "fast" modes can propagate, respectively, as dust ion-acoustic (DIA) and dust ion-cyclotron (DIC)-like waves. The properties of these modes are studied with the effects of obliqueness of propagation (θ), the static magnetic field, the ratios of the negative to positive ion masses (m) and temperatures (T ) as well as the dust to negative-ion number density ratio (δ). Using the standard reductive perturbation technique, we derive a Korteweg-de Vries (KdV) equation which governs the evolution of small-amplitude OP DIA waves. It is found that the KdV equation admits only rarefactive solitons in plasmas with m well below its critical value m c ( 1) which typically depends on T and δ. It is shown that the nonlinear coefficient of the KdV equation vanishes at m = m c , i.e., for plasmas with much heavier negative ions, and the evolution of the DIA waves is then described by a modified KdV (mKdV) equation. The latter is shown to have only compressive soliton solution. The properties of both the KdV and mKdV solitons are studied with the system parameters as above, and possible applications of our results to laboratory and space plasmas are briefly discussed.

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Nonlinear propagation of dust-acoustic waves in an unmagnetized dusty plasma with nonthermal electron and vortex-like ion distribution

Cited by 13 publications

References 27 publications

Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions

Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions

The nonadiabatic dust charge variation on dust acoustic solitary and shock waves in strongly coupled dusty plasmas

Oblique propagation of dust ion-acoustic solitary waves in a magnetized dusty pair-ion plasma

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