Nonlinear dust-acoustic solitary waves in strongly coupled dusty plasmas

Cousens, S.; Sultana, S.; Kourakis, Ioannis; Yaroshenko, V. V.; Verheest, Frank; Hellberg, M. A.

doi:10.1103/physreve.86.066404

Cited by 37 publications

(38 citation statements)

References 27 publications

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“…This is the same coefficient that was found in Ref. [18], in which solitons were studied. If we instead had neglected the perturbations and assumed T = T 0 , we would obtaiñ and if we neglect the electrostatic temperature terms completely, we obtainÃ = − 3 + 2c 2 2 .…”

Section: B Nonlinear Shockssupporting

confidence: 67%

“…[18] we theoretically investigated weakly nonlinear dust-acoustic solitary waves in a complex plasma in which the dust particles are strongly coupled, with the effects of strong coupling being accounted for by the electrostatic temperature approach. To account for local variations in electrostatic temperature in the vicinity of a wave, we introduced the concept of electrostatic temperature perturbations.…”

Section: Introductionmentioning

confidence: 99%

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Dust-acoustic shocks in strongly coupled dusty plasmas

et al. 2014

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Electrostatic dust-acoustic shock waves are investigated in a viscous, complex plasma consisting of dust particles, electrons, and ions. The system is modelled using the generalized hydrodynamic equations, with strong coupling between the dust particles being accounted for by employing the effective electrostatic temperature approach. Using a reductive perturbation method, it is demonstrated that this model predicts the existence of weakly nonlinear dust-acoustic shock waves, arising as solutions to Burgers's equation, in which the nonlinear forces are balanced by dissipative forces, in this case, associated with viscosity. The evolution and stability of dust-acoustic shocks is investigated via a series of numerical simulations, which confirms our analytical predictions on the shock characteristics.

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Section: B Nonlinear Shockssupporting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Dust-acoustic shocks in strongly coupled dusty plasmas

et al. 2014

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“…All of these works are valid in the absence of the effective dust temperature [20][21][22][23][24][25][26][27] (due to the strong electrostatic interactions among the highly negatively charged dust grains) and the polarization force 20,23,28-37 (i.e., the force due to the polarized Debye sheath). However, it has been shown that in the particular cases, for the low frequency DA waves these effects are quite important and need to be taken into account.…”

Section: Introductionmentioning

confidence: 98%

The polarized Debye sheath effect on Kadomtsev-Petviashvili electrostatic structures in strongly coupled dusty plasma

Shahmansouri

Alinejad

2015

Physics of Plasmas

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We give a theoretical investigation on the dynamics of nonlinear electrostatic waves in a strongly coupled dusty plasma with strong electrostatic interaction between dust grains in the presence of the polarization force (i.e., the force due to the polarized Debye sheath). Adopting a reductive perturbation method, we derived a three-dimensional Kadomtsev-Petviashvili equation that describes the evolution of weakly nonlinear electrostatic localized waves. The energy integral equation is used to study the existence domains of the localized structures. The analysis provides the localized structure existence region, in terms of the effects of strong interaction between the dust particles and polarization force. V C 2015 AIP Publishing LLC.

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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 dust-acoustic solitary waves in strongly coupled dusty plasmas

Cited by 37 publications

References 27 publications

Dust-acoustic shocks in strongly coupled dusty plasmas

Dust-acoustic shocks in strongly coupled dusty plasmas

The polarized Debye sheath effect on Kadomtsev-Petviashvili electrostatic structures in strongly coupled dusty plasma

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

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