Nonlinear dust-acoustic solitary waves and shocks in dusty plasmas with a pair of trapped ions

Adhikary, Nirab C.; Misra, A. P.; Deka, Manoj Kr.; Dev, Apul N.

doi:10.1063/1.4989732

Cited by 31 publications

(20 citation statements)

References 36 publications

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“…2015 a ; Adhikary et al. 2017), and expand the variables , and , in power series of (Schamel 1973; Mamun & Shukla 2010; Adhikary et al. 2014): where stands for negative (positive) dust species.…”

Section: Mb Equationmentioning

confidence: 99%

“…2015 b ; Adhikary et al. 2017) of the MB equation (3.19) is given by where , and are given by It is obvious that, as the speed increases, the amplitude (width) increases (decreases), and that the viscosity coefficient does not have any effect on the amplitude, but it does have significant effects on the width of the DA shock waves (as increases, the width of the DA shock waves increases significantly).…”

Section: Mb Equationmentioning

confidence: 99%

“…2015; Adhikary et al. 2017) who have shown the existence of the DA shock waves with stronger nonlinearity in a dusty plasma system containing a negatively charged dust fluid (Rao et al. 1990), ion species following the Schamel distribution function (Schamel 1972), and an electron species following the Maxwellian distribution function.…”

Section: Introductionmentioning

confidence: 99%

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Dust-acoustic shock waves in a plasma system with opposite polarity dust fluids and trapped ions

et al. 2019

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The propagation of dust-acoustic (DA) shock waves (SWs) is studied in a four-component dusty plasma system containing viscous dust fluids of opposite polarity, Schamel distributed ions and Boltzmann distributed electrons. The reductive perturbation method is employed to derive a modified Burgers equation which gives rise to the DA shock waves with stronger nonlinearity. The viscous force acting in the dust fluids is identified as a source of dissipation, and is responsible for the formation of the DA shock waves. The basic characteristics (viz., speed, amplitude, width) of the DA shock waves are found to be significantly modified by the combined effects of opposite polarity dust fluids and trapped ions. The applications of this investigation in different space plasma environments and laboratory devices are pinpointed.

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Section: Mb Equationmentioning

confidence: 99%

Section: Mb Equationmentioning

confidence: 99%

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Dust-acoustic shock waves in a plasma system with opposite polarity dust fluids and trapped ions

et al. 2019

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“…In negative ion contaminated dusty plasmas, characteristics of arbitrary amplitude dust-acoustic solitary waves have been investigated using the Sagdeev potential approach (Wang et al 2005). Propagation characteristics of small-amplitude dustacoustic solitary waves and shock waves in an unmagnetized dusty plasma with a pair of trapped positive and negative ions were investigated considering both positively and negatively charged dust grains (Adhikary et al 2017). The effects of non-steady dust charge variations and a weak magnetic field on small but finite amplitude nonlinear dust-acoustic waves in an electronegative dusty plasma consisting of electrons, positive ions, negative ions and dust grains were investigated and it was shown that the dynamics of the nonlinear waves is governed by the Korteweg-de Vries-Burger equation which possesses a dispersive shock wave (Ghosh, Ehsan & Murtaza 2008).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma in presence of negative ions

et al. 2018

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In this paper we have studied the effect of the density and temperature of negative ions on the nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma. We have considered both adiabatic and non-adiabatic dust charge variation. The presence of both low and high populations of negative ions are considered. Separate models have been developed because the two populations give rise to opposite polarity of grain charges. In both models electrons are assumed to follow a kappa velocity distribution while the positive and negative ions satisfy a Maxwellian velocity distribution. Adiabatic dust charge variation shows the propagation of a dust-acoustic soliton in cases of both a high and low population of negative ions whose amplitude depends on the negative ion temperature and negative ion density. On the other hand, non-adiabatic dust charge variation generates a stable oscillatory dust-acoustic shock when the negative ion population is low. An unstable potential has been predicted from this analysis when the negative ion population is high and the dust charge variation is non-adiabatic.

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“…Experimental analysis [26] and computer simulations [27] have confirmed this phenomenon. Very recently, considering dust charge fluctuations, Adhikary et al [30] have studied weakly nonlinear DA solitary waves and shocks in dusty plasmas in the presence of a trapped pair of ions. Mirsa [8] investigated the effect of a trapped pair of ions on the nonlinear propagation of dust-acoustic (DA) waves in a magnetized dusty plasma without considering electrons by deriving a KdV-like equation.…”

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confidence: 99%

Dust‐ion‐acoustic solitary waves in a magnetized dusty pair‐ion plasma with Cairns‐Gurevich electrons and opposite polarity dust particles

Abdikian

2018

Contributions to Plasma Physics

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The nonlinear dust-ion-acoustic (DIA) solitary structures have been studied in a dusty plasma, including the Cairns-Gurevich distribution for electrons, both negative and positive ions, and immobile opposite polarity dust grains. The external magnetic field directed along the z-axis is considered. By using the standard reductive perturbation technique and the hydrodynamics model for the ion fluid, the modified Zakharov-Kuznetsov equation was derived for small but finite amplitude waves and was provided the solitary wave solution for the parameters relevant. Using the appropriate independent variable, we could find the modified Korteweg-de Vries equation. By plotting some figures, we have discussed and emphasized how the different plasma values, such as the trapping parameter, the positive (or negative) dust number density, the non-thermal electron parameter, and the ion cyclotron frequency, can influence the solitary wave structures. In addition, using the bifurcation theory of planar dynamical systems, we have extracted the centre and saddle points and illustrated the phase portrait of such a system for some particular plasma parameters. Finally, we have graphically investigated the behaviour of the solitary energy wave by changing the plasma values as well as by calculating the instability criterion; we have also discussed the growth rate of the solitary waves. The results could be useful for studying the physical mechanism of nonlinear propagation of DIA solitary waves in laboratory and space plasmas where non-thermal electrons, pair-ions, and dust particles can exist. KEYWORDSdust-ion-acoustic solitary wave, the bifurcation theory, the Cairns-Gurevich distribution, the modified Zakharov-Kuznetsov equation, the reductive perturbation technique

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Nonlinear dust-acoustic solitary waves and shocks in dusty plasmas with a pair of trapped ions

Cited by 31 publications

References 36 publications

Dust-acoustic shock waves in a plasma system with opposite polarity dust fluids and trapped ions

Dust-acoustic shock waves in a plasma system with opposite polarity dust fluids and trapped ions

Nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma in presence of negative ions

Dust‐ion‐acoustic solitary waves in a magnetized dusty pair‐ion plasma with Cairns‐Gurevich electrons and opposite polarity dust particles

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