Dust-acoustic Korteweg–de Vries solitons in an adiabatic hot dusty plasma

Sayed, Fatema; Mamun, A. A.

doi:10.1063/1.2430520

Cited by 22 publications

(20 citation statements)

References 19 publications

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“…[4][5][6][7] The purpose of this study is to develop a general formulation for acoustic solitons in three-component plasma systems. Although theoretical models for dust acoustic solitons (DASs) have already existed, [8][9][10][11][12][13] our formulation is more generalized in that the charges of the three types of particles are not specified. In addition, the velocity distributions for hot species are non-Maxwellian, which is an important property of collisionless plasmas.…”

Section: Introductionmentioning

confidence: 99%

General formulation for acoustic solitons in three-component nonthermal plasmas

Chuang

Hau

2011

Physics of Plasmas

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A generalized formulation is developed for nonlinear acoustic solitons in three-component such as dust-ion-electron and electron-positron-ion plasmas with the charge of each species being unspecified. The heavy, cold charged particles (ions or dust particles) are treated as a fluid while the light, hot components are described by the kinetic Vlasov equation with separate velocity distributions which can be of j function or highly nonthermal (non-monotonic) distributions. The model is also applicable for two-component such as ion-electron plasmas with two different temperatures for electrons. The generalized dispersion relation for acoustic waves and the Korteweg-de Vries equations as well as the Sagdeev potential are derived for various models with different combinations of velocity distributions. The parameter regimes for the existence of acoustic solitons are analyzed and examples of nonlinear solutions are illustrated. The polarity of electric potential is found to exhibit anomaly for highly nonthermal cases.

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Section: Introductionmentioning

confidence: 99%

General formulation for acoustic solitons in three-component nonthermal plasmas

Chuang

Hau

2011

Physics of Plasmas

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“…Recently, the effects of the dust fluid temperature on the DASWs have been investigated by a number of authors [11,12]. Sayed and Mamun [13] assumed a dusty plasma containing the adiabatic dust fluid and non-adiabatic (isothermal) inertialess electron and ion fluid, and studied the effect of the dust fluid temperature on the DASWs.…”

Section: Introductionmentioning

confidence: 99%

Effect of obliqueness and external magnetic field on the characteristics of dust acoustic solitary waves in dusty plasma with two-temperature nonthermal ions

Sabetkar

Dorranian

2015

J Theor Appl Phys

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In this paper, a theoretical investigation has been made of obliquely propagating dust acoustic solitary wave (DASW) structures in a cold magnetized dusty plasma consisting of a negatively charged dust fluid, electrons, and two different types of nonthermal ions. The Zakharov-Kuznetsov (ZK) and modified Zakharov-Kuznetsov (MZK) equations, describing the small but finite amplitude DASWs, are derived using a reductive perturbation method. The combined effects of the external magnetic field, obliqueness (i.e. the propagation angle), and the presence of second component of nonthermal ions, which are found to significantly modify the basic features (viz. amplitude, width, polarity) of DASWs, are explicitly examined. The results show that the external magnetic field, the propagation angle, and the second component of nonthermal ions have strong effects on the properties of dust acoustic solitary structures. The solitary waves may become associated with either positive potential or negative potential in this model. As the angle between the direction of external magnetic field and the propagation direction of solitary wave increases, the amplitude of the solitary wave (for both positive potential and negative potential) increases. With changing this angle, the width of solitary wave shows a maximum. The magnitude of the external magnetic field has no direct effect on the solitary wave amplitude. However, with decreasing the strength of magnetic field, the width of DASW increases.

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“…In order to include the effects of dust pressure, we need to add the following equation which connects the dust pressure p and the velocity u d : 11,12 ‫ץ‬p ‫ץ‬t…”

Section: Basic Equationsmentioning

confidence: 99%

Dust-acoustic shock formation in adiabatic hot dusty plasmas with variable charge

Asgari¹,

Muniandy²,

Wong³

2011

Physics of Plasmas

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Shocklike structure can be formed after a certain transient time due to the self-steepening of the negative potential. In order to have a monotonic or oscillatory shock wave, it is known that a source of dissipation is needed. In this study, we considered the variation of dust charge as a source of dissipation. By using the reductive perturbation technique, the nonlinear Burgers equation is derived and the shocklike solution is determined. The effects of dust temperature on different characteristics of dust-acoustic shock structure are discussed. It is found out that the dust thickness is not affected by dust temperature. By considering a dusty plasma system with a set of parameters, it is shown that there exists a specific dust critical temperature T dc which gives maximum height for the dust-acoustic shock structure. The effects of the plasma species temperature on shock formation are also investigated.

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Dust-acoustic Korteweg–de Vries solitons in an adiabatic hot dusty plasma

Cited by 22 publications

References 19 publications

General formulation for acoustic solitons in three-component nonthermal plasmas

General formulation for acoustic solitons in three-component nonthermal plasmas

Effect of obliqueness and external magnetic field on the characteristics of dust acoustic solitary waves in dusty plasma with two-temperature nonthermal ions

Dust-acoustic shock formation in adiabatic hot dusty plasmas with variable charge

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