Ion acoustic solitary waves in plasma with nonthermal electron and positron

Pakzad, Hamid Reza

doi:10.1016/j.physleta.2008.12.066

Cited by 98 publications

(61 citation statements)

References 28 publications

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“…On the other hand, increase in positron concentration decreases the wave frequency. In this connection it is pertinent to mention that Pakzad [35] reported an incorrect result and it was pointed out and corrected by Baluku and Hellberg [25]. If we put = 0, = 0, and = 0, we get the linear dispersion relation for ion-acoustic waves in -plasma as obtained by Kakutani and Sugimoto [36].…”

Section: Derivation Of the Evolution Equationmentioning

confidence: 82%

Modulation Instability of Ion-Acoustic Waves in Plasma with Nonthermal Electrons

Ghosh

Banerjee

2014

Journal of Astrophysics

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Modulational instability of ion-acoustic waves has been theoretically investigated in an unmagnetized collisionless plasma with nonthermal electrons, Boltzmann positrons, and warm positive ions. To describe the nonlinear evolution of the wave amplitude a nonlinear Schrödinger (NLS) equation has been derived by using multiple scale perturbation technique. The nonthermal parameter, positron concentration, and ion temperature are shown to play significant role in the modulational instability of ion-acoustic waves and the formation of envelope solitons.

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Section: Derivation Of the Evolution Equationmentioning

confidence: 82%

Modulation Instability of Ion-Acoustic Waves in Plasma with Nonthermal Electrons

Ghosh

Banerjee

2014

Journal of Astrophysics

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“…Differentiating Equation (27) with respect to and substituting for n 2 / from Equation (33), we have…”

Section: Derivation Of the Kdv Equationmentioning

confidence: 99%

“…Space plasma observations clearly indicate the presence of ion and electron populations that are far away from their thermodynamic equilibrium. [23][24][25][26][27][28][29][30] A new statistical approach, namely nonextensive statistics or Tsallis statistics based on the derivation of Boltzmann-Gibbs-Shannon (BGS) entropic measure, is proposed to study the cases where Maxwell distribution is considered inappropriate. This was first acknowledged by Reni and afterwards proposed by Tsallis.…”

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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“…Space plasma observations clearly indicate the presence of ion and electron populations that are far away from their thermodynamic equilibrium [35][36][37][38][39]. A new statistical approach, [40] namely nonextensive statistics or Tsallis statistics based on the derivation of BoltzmannGibbs-Shannon (BGS) entropic measure, [41] is proposed to the study the cases where Maxwell distribution is considered inappropriate.…”

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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Ion acoustic solitary waves in plasma with nonthermal electron and positron

Cited by 98 publications

References 28 publications

Modulation Instability of Ion-Acoustic Waves in Plasma with Nonthermal Electrons

Modulation Instability of Ion-Acoustic Waves in Plasma with Nonthermal 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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