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

Ghosh, Uday Narayan; Saha, Asit; Pal, Nikhil R.; Chatterjee, Prasanta

doi:10.1007/s40094-015-0192-6

Cited by 31 publications

(10 citation statements)

References 67 publications

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“…The density of the q-non-extensive electrons and positrons are given by [21,32,53,65] n e = n e0 [1 + (q e − 1) ] 1+q e 2(q e −1) ,…”

Section: Basic Equations and Formulationsmentioning

confidence: 99%

“…This non-extensive entropy has been employed in studying the non-linear electrostatic structures in various plasma systems. [19][20][21][22][23][24] In recent years, non-extensive e-p-i plasmas have been most studied because of the limitation of proper implementation of Maxwell distribution in long-range interactions in a collisionless plasma. [14,17,18] It is also applied in astrophysical and cosmological scenarios, such as stellar polytropes, solar neutrino problems, and the peculiar velocity distribution of galaxy clusters.…”

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confidence: 99%

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Ion‐ and positron‐acoustic solitons in magnetized dusty plasma with q‐non‐extensive electron and positron velocity distribution

Motevalli

Mohsenpour

Dashtban

2018

Contributions to Plasma Physics

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In this study, the properties of ion-and positron-acoustic solitons are investigated in a magnetized multi-component plasma system consisting of warm fluid ions, warm fluid positrons, q-non-extensive distributed positrons, q-non-extensive distributed electrons, and immobile dust particles. To drive the Korteweg-de Vries (KdV) equation, the reductive perturbation method is used. The effects of the ratio of the density of positrons to ions, the temperature of the positrons, and ions to electrons, the non-extensivity parameters q e and q p , and the angle of the propagation of the wave with the magnetic field on the potential of ion-and positron-acoustic solitons are also studied. The present investigation is applicable to solitons in fusion plasmas in the edge of tokamak.

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“…The density of the q-non-extensive electrons and positrons are given by [21,32,53,65] n e = n e0 [1 + (q e − 1) ] 1+q e 2(q e −1) ,…”

Section: Basic Equations and Formulationsmentioning

confidence: 99%

mentioning

confidence: 99%

Ion‐ and positron‐acoustic solitons in magnetized dusty plasma with q‐non‐extensive electron and positron velocity distribution

Motevalli

Mohsenpour

Dashtban

2018

Contributions to Plasma Physics

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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. Since the mass of electrons and positrons is equal, usually in e-p-i plasma, their distribution functions are similar.…”

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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“…El-Wakil et al investigated the trail of time-space fractal order and superthermality on the properties of obtained soliton from time-spacefractional Kadomtsev-Petviashvili (STFKP) equation in (e-p-i) plasma [22]. By using the bifurcations of dynamical (e-p-i) and quantum plasma system, the existence of solitons and periodic waves have been obtained [23][24][25]. Finally, Samanta et al studied solitary forms using phase portrait of ZK equation in superthermal magnetized plasma [26].…”

Section: Introductionmentioning

confidence: 99%

On the modulation of ionic velocity in electron–positron–ion plasmas

El-Shewy

Abdelwahed

Abdo

et al. 2017

Journal of Taibah University for Science

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Ion-acoustic structures in electron-positron-ion (e-p-i) plasma are examined by algebraic analysis of model equations. The dynamic of solitary waves are studied through direct approach. The system energy is obtained in terms of velocity of ions. It is founded that, ion-acoustic solitary waves existence are sensitive to densities and temperatures ratio of electrons and positrons. A small but finite amplitude approximation for soliton and shock waves are studied. The effect of positron parameters on solitonic wave and shocks are also inspected.

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

Cited by 31 publications

References 67 publications

Ion‐ and positron‐acoustic solitons in magnetized dusty plasma with q‐non‐extensive electron and positron velocity distribution

Ion‐ and positron‐acoustic solitons in magnetized dusty plasma with q‐non‐extensive electron and positron velocity distribution

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

On the modulation of ionic velocity in electron–positron–ion plasmas

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