Arbitrary amplitude dust acoustic solitary waves in an electron-depleted dusty plasma with two high energy-tail ion distributions

Mayout, Saliha; Tribeche, Mouloud

doi:10.1007/s10509-011-0751-5

Cited by 26 publications

(5 citation statements)

References 39 publications

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“…Subsequently, these waves have been observed in laboratory experiments [2]. Moreover, during the last few decades, DA waves have been investigated by a number of authors [3][4][5][6]. Much research has been conducted in the field of solitons in plasmas that have two-temperature electrons (trapped and isothermal), both in uniform and nonuniform plasmas, in addition to plasmas that have twotemperature ions [7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Role of superthermality on dust acoustic structures in the frame of a modified Zakharov–Kuznetsov equation in magnetized dusty plasma

Sabetkar

Dorranian

2015

Phys. Scr.

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In this paper, a theoretical investigation is presented to study the existence and characteristics of the propagation of dust acoustic (DA) waves in an obliquely propagating magnetized dusty plasma with two populations of ions having two distinct temperatures, electrons that are modeled by three-dimensional nonextensive and κ-distribution functions, respectively, and negative dust particles. Normal mode analysis (reductive perturbation method) is used to derive lower-and higher-order nonlinear equations governing the evolution of small but finite amplitude DA waves, namely the Zakharov-Kuznetsov (ZK) and the modified Zakharov-Kuznetsov (mZK) equations. The basic features (e.g., amplitude, width, phase speed, polarity) of both DA ZK and mZK solitons have been thoroughly examined by the numerical analysis of their equations. It is observed that the characteristics and properties of the DA solitary waves (DASWs) are significantly modified by the superthermality of electrons, nonextensivity of ions, cold-to-hot ion temperature ratio, relative number densities of two species of ions, and the strength of the magnetic field and obliqueness of the system. Furthermore, it has been found that the DA ZK solitons exhibit only negative polarity of solitary waves when the superthermality of electrons, nonextensivity of ions, and temperature ratio of ions are smaller or greater than their critical values. The present study may add to the understanding of the nonlinear propagation features of DA wave structures in high-energy astrophysical plasma systems.

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Section: Introductionmentioning

confidence: 99%

Role of superthermality on dust acoustic structures in the frame of a modified Zakharov–Kuznetsov equation in magnetized dusty plasma

Sabetkar

Dorranian

2015

Phys. Scr.

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“…Over the past many years, a number of authors have studied the basic properties of DA waves in dusty plasmas . There are different types of coherent linear and nonlinear wave structures in a dusty plasma system, such as solitons, double layers, shocks, vortices etc .…”

Section: Introductionmentioning

confidence: 99%

Effects of axial magnetic field and nonextensivity on small amplitude dust acoustic solitary waves in dusty plasma

Rezaiinia

Mohsenpour

Mirzanejhad

2018

Contributions to Plasma Physics

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KEYWORDSdusty plasma, nonextensivity, nonlinear propagation, solitary waves INTRODUCTIONA great deal of attention has been paid to understand the linear and nonlinear propagation of electrostatic waves that occur in both space and laboratory dusty plasmas. [1][2][3] Dusty plasmas are ordinary plasmas with an additional, extremely massive, and highly charged component of dust grains. Dusts in plasma, often of micron to submicron size, and masses in the range of 10 6 to 10 12 proton masses, are ubiquitous in the solar system and space plasma, namely, the earth's ionosphere and magnetosphere, lower and upper mesosphere, planetary magnetosphere, the interplanetary medium, planetary rings, asteroid zones, cometary tails, interstellar molecular clouds, circumstellar disks, etc., and in laboratory devices, e.g., dc and RF discharges, plasma processing reactors, and fusion plasma devices. [4][5][6][7] Hence, a study of plasma systems in the presence of dust is of considerable importance. It has been found both theoretically [8] and experimentally [9] that the dynamics of dust grains not only changes the properties of the plasma, but also introduces new or modified wave modes and related instabilities in the dusty plasma systems. [10,11] These wave modes excited in dusty plasmas can be dust-acoustic (DA) waves and dust-ion-acoustic (DIA) waves. [8,12] DA waves predicted theoretically by Rao et al. are among the low-frequency electrostatic dust waves that occur in dusty plasmas. In this case, the dust particle mass provides the inertia and thermal pressures from the electrons, and ions provide the restoring force. These waves have further been observed in laboratory experiments by a number of experimental groups. [13,14] Over the past many years, a number of authors have studied the basic properties of DA waves in dusty plasmas. [15][16][17][18][19] There are different types of coherent linear and nonlinear wave structures in a dusty plasma system, such as solitons, double layers, shocks, vortices etc. [20,21] The nonlinearities come from the harmonic generation involving fluid advection, trapping of particles This article is published with the permission of the Controller of HMSO and the Queen's Printer for Scotland.

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“…[15][16][17][18] Ion-acoustic solitary waves (IASWs) in the presence of hot ions in unmagnetized electron-ion plasmas have also been investigated. [19][20][21][22][23] Mahmood and Saleem 24 studied the electrostatic solitary structures in unmagnetized plasmas in the presence of cold and adiabatically heated ions. Kalita and Bujarbarua 25 studied the large-amplitude ion acoustic solitons in a warm ions magnetoplasma with isothermal electrons.…”

Section: Introductionmentioning

confidence: 99%

Large amplitude solitary waves in a warm magnetoplasma with kappa distributed electrons

et al. 2013

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The large amplitude nonlinear ion acoustic solitary wave propagating obliquely to an external magnetic field in a magnetized plasma with kappa distributed electrons and warm ions is investigated through deriving energy-balance-like expression involving a Sagdeev potential. Analytical and numerical calculations of the values of Mach number reveal that both of subsonic and supersonic electrostatic solitary structures can exist in this system. The influence on the soliton characteristics of relevant physical parameters such as the Mach number, the superthermal parameter, the directional cosine, the ratio of ion-to-electron temperature, and the ion gyrofrequency has been investigated. V

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Arbitrary amplitude dust acoustic solitary waves in an electron-depleted dusty plasma with two high energy-tail ion distributions

Cited by 26 publications

References 39 publications

Role of superthermality on dust acoustic structures in the frame of a modified Zakharov–Kuznetsov equation in magnetized dusty plasma

Role of superthermality on dust acoustic structures in the frame of a modified Zakharov–Kuznetsov equation in magnetized dusty plasma

Effects of axial magnetic field and nonextensivity on small amplitude dust acoustic solitary waves in dusty plasma

Large amplitude solitary waves in a warm magnetoplasma with kappa distributed electrons

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