Non-extensive effects on the characteristics of dust-acoustic solitary waves in magnetized dusty plasma with two-temperature isothermal ions

Sabetkar, Akbar; Dorranian, Davoud

doi:10.1017/s0022377814000099

Cited by 17 publications

(11 citation statements)

References 50 publications

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“…It is also clear from this figure that the external magnetic field leads to a decrease in the potential width, i.e., a stronger magnetic field leads to steeper and thus narrower soliton profiles. Similar observations are found in the work of Haider [5] and the work of Sabetkar and Dorranian [11,12,14] while studying the DIA and DA SWs with the presence of magnetic field. The width of the SWs is lower for positive dust grains than for negative dust grains, thus the positive dust grains makes the soliton profile more steeper.…”

Section: Sw Solution Of the Zk Equationsupporting

confidence: 86%

“…Larger particles are found to be negatively charged and smaller ones are positively charged [20]. These opposite polarity ions and opposite polarity dusts [10][11][12][13][14] can significantly modify the basic properties of linear and nonlinear DIA SWs and DA SWs. The anomalous dissipation in complex plasmas, which originates from the dust charging process, makes possible the existence of a new kind of shock wave [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 97%

“…Very recently many authors have studied the nonlinear propagation of ion-acoustic (IA) solitary waves (SWs) [1][2][3][4] dust-ion-acoustic (DIA) SWs [5][6][7][8][9], dust-acoustic (DA) SWs [10][11][12][13][14] in a multi-ion plasmas, as negative ions can be found in space [15,16] and laboratory [17][18][19] as well as positive ions. In multi-ion plasmas, there exist fast and slow mode.…”

Section: Introductionmentioning

confidence: 99%

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Multi-dimensional instability of dust-ion-acoustic solitary structure with opposite polarity ions and non-thermal electrons

Haider

Rahman

2016

J Theor Appl Phys

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An attempt has been made to study the multidimensional instability of dust-ion-acoustic (DIA) solitary waves (SWs) in magnetized multi-ion plasmas containing opposite polarity ions, opposite polarity dusts and nonthermal electrons. First of all, we have derived ZakharovKuznetsov (ZK) equation to study the DIA SWs in this case using reductive perturbation method as well as its solution. Small-k perturbation technique was employed to find out the instability criterion and growth rate of such a wave which can give a guideline in understanding the space and laboratory plasmas, situated in the D-region of the Earth's ionosphere, mesosphere, and solar photosphere, as well as the microelectronics plasma processing reactors.

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Section: Sw Solution Of the Zk Equationsupporting

confidence: 86%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

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Multi-dimensional instability of dust-ion-acoustic solitary structure with opposite polarity ions and non-thermal electrons

Haider

Rahman

2016

J Theor Appl Phys

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“…[45] Saha et al investigated the dynamic structure of ion-acoustic waves in an unmagnetized plasma with q-nonextensive electrons and positrons by applying the bifurcation theory. [46] In this work, plasma electrons are taken to be nonextensive, while positrons have Maxwellian distribution.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear ion‐acoustic cnoidal wave in electron‐positron‐ion plasma with nonextensive electrons

Farhadkiyaei

Dorranian

2017

Contrib. Plasma Phys

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Effects of plasma nonextensivity on the nonlinear cnoidal ion-acoustic wave in unmagnetized electron-positron-ion plasma have been investigated theoretically. Plasma positrons are taken to be Maxwellian, while the nonextensivity distribution function was used to describe the plasma electrons. The known reductive perturbation method was employed to extract the KdV equation from the basic equations of the model. Sagdeev potential, as well as the cnoidal wave solution of the KdV equation, has been discussed in detail. We have shown that the ion-acoustic periodic (cnoidal) wave is formed only for values of the strength of nonextensivity (q). The q allowable range is shifted by changing the positron concentration (p) and the temperature ratio of electron to positron ( ). For all of the acceptable values of q, the cnoidal ion-acoustic wave is compressive. Results show that ion-acoustic wave is strongly influenced by the electron nonextensivity, the positron concentration, and the temperature ratio of electron to positron. In this work, we have investigated the effects of q, p, and on the characteristics of the ion-acoustic periodic (cnoidal) wave, such as the amplitude, wavelength, and frequency. KEYWORDScnoidal wave, electron-positron-ion plasma, ion-acoustic nonlinear wave, plasma nonextensivity, solitary wave INTRODUCTIONPlasma is mainly the science of universe, new accelerators, and new source of energy. Furthermore, there are many other applications of plasma that is penetrating into the technology of our ordinary life. [1,2] Plasma is a multimode medium. Depending on plasma species and condition, as well as plasma energy, a wide range of longitudinal or transverse modes in cnoidal or soliton form may generate in plasma medium. Some of them may be observed in linear regime, but there are a large number of plasma modes that will appear after taking the nonlinearity into account. Because of its high energy, the nonlinear phenomena play an essential role in plasma medium.Normal plasmas comprise of electrons, ions, and neutral particles. In the case of high-energy plasma, positrons will be produced in the medium due to pair production phenomena. The electron-positron-ion (e-p-i) plasma has an important role in the understanding of the plasmas in the early universe, [3,4] in active galactic nuclei, [5] in pulsar magnetospheres, [6,7] and in the solar atmosphere.[8] It is well known that when positrons are introduced into e-i plasma, the response of the plasma changes significantly. The presence of positrons has some application in plasma. For instance, they can be used to probe particle transport in tokamaks, and since they have sufficient lifetime, the two-component (e-i) plasma becomes three-component (e-p-i) plasma. [9][10][11][12][13] Most of the astrophysical plasmas also contain positrons in addition to electrons and ions. During the last decade, e-p-i plasma has attracted the attention of several authors. They have studied the linear and nonlinear wave propagation in e-p-i plasmas using different models. [14][1...

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“…Shahmansouri and Alinejad [55] also investigated arbitrary amplitude electron acoustic (EA) solitary waves in a magnetized nonextensive plasma comprising cool fluid electrons, hot nonextensive electrons, and immobile ions. Sabetkar and Dorranian [56] studied the nonextensive effects on the characteristics of dust-acoustic solitary waves in magnetized dusty plasma with two-temperature isothermal ions.…”

Section: Introductionmentioning

confidence: 99%

Dynamic structures of nonlinear ion acoustic waves in a nonextensive electron–positron–ion plasma

et al. 2015

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The dynamic structures of ion acoustic waves in an unmagnetized plasma with q-nonextensive electrons and positrons are investigated applying the bifurcation theory of planar dynamical systems through direct approach. Model equations are transformed to a planar dynamical system using a traveling wave transformation. Using the bifurcations of planar dynamical system, the existence of solitary and periodic waves is shown. We have obtained new analytical forms for solitary and periodic waves depending on parameters p; q; r and v. Considering an external periodic perturbation, the chaotic behavior of nonlinear ion acoustic waves is presented. Depending upon different regimes of the nonextensive parameter q, the effect of q is shown on chaotic motions of ion acoustic waves with fixed values of other parameters p; r and v. It is seen that the unperturbed system has the solitary and periodic wave solutions, but the perturbed dynamical system has chaotic motions for same values of parameters p; q; r and v.

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Non-extensive effects on the characteristics of dust-acoustic solitary waves in magnetized dusty plasma with two-temperature isothermal ions

Cited by 17 publications

References 50 publications

Multi-dimensional instability of dust-ion-acoustic solitary structure with opposite polarity ions and non-thermal electrons

Multi-dimensional instability of dust-ion-acoustic solitary structure with opposite polarity ions and non-thermal electrons

Nonlinear ion‐acoustic cnoidal wave in electron‐positron‐ion plasma with nonextensive electrons

Dynamic structures of nonlinear ion acoustic waves in a nonextensive electron–positron–ion plasma

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