Arbitrary amplitude rarefactive dust-acoustic solitons

Lakshmi, S. Vidhya; Bharuthram, R.

doi:10.1016/0032-0633(94)90069-8

Cited by 20 publications

(6 citation statements)

References 12 publications

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“…At this stage, it is interesting to further compare the treatment for different β dust distributions to the case of monodisperse dust, with (negative) charge q d and mass m d , as encountered in many papers (Rao et al 1990;Bharuthram & Shukla 1992;Lakshmi & Bharuthram 1994;Mamun et al 1996;Ma & Liu 1997;Singh & Rao 1997;Mamun 1999;McKenzie 2002;Verheest et al 2005). …”

Section: Comparison With Monodisperse Dustmentioning

confidence: 99%

Nonlinear electrostatic modes in astrophysical plasmas with charged dust distributions

Verheest

Yaroshenko

2009

A&A

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Context. Most theoretical investigations of wave phenomena in dusty plasmas have treated charged dust as additional heavy negative ions in standard multispecies models. Many dusty plasma experiments use monodisperse grains, but charged (and neutral) grains in space environments come in a whole range of sizes and compositions, hence in masses and charges. Dust density distributions having a power-law decay with size are often observed in planetary rings. Aims. There is a need to investigate larger solitary structures, since wave descriptions involving charged dust distributions have usually been limited to linear or weakly nonlinear modes. Methods. Sagdeev pseudopotential methods describe large-amplitude solitary waves in a co-moving reference frame and are adapted to include dust distributions, using mass and charge, or alternatively size, as additional variables. Observed power-law distributions lead to descriptions involving hypergeometric functions. Results. Lower limits for possible solitary wave velocities follow from requiring that the Sagdeev pseudopotentials have a local maximum for the undisturbed conditions, whereas upper limits come from ensuring that dust densities remain real. Nonlinear amplitudes increase with solitary wave velocities and relative electron temperature. Under similar plasma conditions, dust size distributions admit slower solitary wave solutions, with correspondingly smaller amplitudes than given by monodisperse dust models. For typical planetary ring conditions, the difference can be quite appreciable.

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Section: Comparison With Monodisperse Dustmentioning

confidence: 99%

Nonlinear electrostatic modes in astrophysical plasmas with charged dust distributions

Verheest

Yaroshenko

2009

A&A

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“…[17] where n e0 , n c0 and n h0 are unperturbed number densities of the electrons, cold ions and hot ions, respectively, is T∕T eff [11].…”

Section: Basic Equationsmentioning

confidence: 99%

“…Since the introduction of dust acoustic wave, there have been lot of researches on the linear and nonlinear properties of such waves [2][3][4][5][6][7][8][9][10]. Lakshmi and Bharuthram investigated the impact of particle densities and temperature on large amplitude solitary waves in homogeneous cold dusty plasma consisting of electrons and two species of ions [11]; the calculations did not include the dust temperature. Asgari et al [12] studied the solitary waves in homogeneous plasma present in only some places like moon's atmosphere, and they have used Cairns distributions for the ions.…”

Section: Introductionmentioning

confidence: 99%

Comparative study of dust acoustic solitons in two-temperature ion homogeneous and inhomogeneous plasmas

Malik

Singh

2020

J Theor Appl Phys

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The dust acoustic solitary waves are theoretically investigated in dusty plasmas for different cases of with and without density gradients. These low-frequency solitary waves are studied using appropriate Korteweg-de Vries equations obtained using relevant stretched coordinates. The soliton solutions in homogeneous plasma, weakly inhomogeneous plasma and strongly inhomogeneous plasma, are thoroughly investigated for studying the effect of different parameters like dust charge and density of all the plasma species on the soliton profiles. The combination of the dust charge with its number density changes the dynamics of the solitons and that is further affected by the number density of the hot ion with respect to the cold ions.Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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“…The study of dust is important as its presence in astrophysical and space environment plays a vital role in different processes like mode modification. In laboratory plasma also, the presence of dust causes modifications in plasma processing [1][2][3][4][5][6][7][8][9][10][11]. The solitary waves are evolved as the result of the balance of nonlinearity and dispersion effects in the plasma [12].…”

Section: Introductionmentioning

confidence: 99%

“…The solitary waves are evolved as the result of the balance of nonlinearity and dispersion effects in the plasma [12]. The dust acoustic waves have been studied in a dusty plasma consisting of isothermal ions and electrons with Boltzmann distribution and dust grain with negative charge [9,[13][14][15]. The presence of two-temperature ion plasma has attracted the researchers to explore more about it experimentally and theoretically [16,17].…”

Section: Introductionmentioning

confidence: 99%

Small amplitude dust acoustic solitary wave in magnetized two ion temperature plasma

Malik

Kumar

Singh

2020

Journal of Taibah University for Science

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The characteristics of obliquely propagating dust acoustic solitary wave in magnetized dusty plasma are analysed by considering the plasma to have electrons, two-temperature ions and massive dust grains with heavy charge. The reductive perturbation technique is used to derive relevant Korteweg-deVries (KdV) equation. The effect of density and temperature of hot and cold ions, angle of wave propagation, and mass, charge and temperature of the dust grains on the soliton characteristic is investigated in greater detail. The situation of electron-depleted plasma is also uncovered.

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Arbitrary amplitude rarefactive dust-acoustic solitons

Cited by 20 publications

References 12 publications

Nonlinear electrostatic modes in astrophysical plasmas with charged dust distributions

Nonlinear electrostatic modes in astrophysical plasmas with charged dust distributions

Comparative study of dust acoustic solitons in two-temperature ion homogeneous and inhomogeneous plasmas

Small amplitude dust acoustic solitary wave in magnetized two ion temperature plasma

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