Nonlinear ion-acoustic cnoidal waves in a dense relativistic degenerate magnetoplasma

Ef, El-Shamy

doi:10.1103/physreve.91.033105

Cited by 51 publications

(27 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The study of cnoidal waves has become one of the important areas of research because of their wide range of applications in nonlinear transport processes in plasmas [22], ionosphere plasmas [23], single-mode drift wave spectra [24], and so on. A variety of investigations have been reported by numerous researchers [25][26][27][28] to study the characteristics of cnoidal waves in different plasma regimes. Kaladze et al [29] deduced Korteweg-de Vries (KdV) equation by employing the reductive perturbation method and investigated electrostatic acoustic nonlinear periodic waves in unmagnetised pair-ion plasmas that constitute the same mass ion species with different temperatures.…”

Section: Introductionmentioning

confidence: 99%

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

Kaur

Saini

2019

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

An investigation of nonlinear ion acoustic (IA) cnoidal waves in a magnetised quantum plasma is presented by using spin evolution quantum hydrodynamics model, in which inertial classical ions and degenerate inertialess electrons with both spin-up and spin-down states taken as separate species are considered. The Korteweg-de Vries equation is derived using the reductive perturbation method. Further, using the Sagdeev pseudopotential approach, the solution for IA cnoidal waves is derived with suitable boundary conditions. There is the formation of only positive potential cnoidal, and in the limiting case, positive solitary waves are observed. The effects of density polarisation and other plasma parameters on the characteristic features of cnoidal and solitary waves have been analysed numerically. It is seen that the spin density polarisation significantly affects the characteristics of cnoidal structures as we move from strongly spin-polarised (µ = 1) to a zero spin-polarisation case (µ = 0). The results obtained in the present investigation may be useful in comprehending various nonlinear excitations in dense astrophysical regions, such as white dwarfs, neutron stars, and so on.

show abstract

Section: Introductionmentioning

confidence: 99%

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

Kaur

Saini

2019

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

show abstract

“…(17) and (18) in Eqs. (11)(12)(13)(14)(15)(16) and collecting the lowest order ∼ 3/2 terms from continuity and x component of momentum equations of e-p plasmas, we obtain the following equations:…”

Section: Derivation Of Korteweg-de Vries (Kdv) Equationmentioning

confidence: 99%

“…In order to derive the KdV equation, we collect the next higher order terms from set of dynamic equations (11)(12)(13)(14)(15)(16). The next higher order ∼ 5/2 terms of continuity equations, x -component of momenta equations, Faraday's and Ampere's laws are respectively described as below:…”

Section: Derivation Of Korteweg-de Vries (Kdv) Equationmentioning

confidence: 99%

“…They briefly discussed the formation of compressive and rarefactive small amplitude cnoidal waves. El-Shamy 12 mooted the ion-acoustic cnoidal waves using pseudo potential approach in a dense magnetized plasma with degenerate electrons. Recently, the compressive and rarefactive dust-ion acoustic cnoidal waves and associated nonlinear ion flux in unmagnetized nonthermal dusty plasmas was investigated by Rehman and Mahmood.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fast magnetohydrodynamic cnoidal waves and solitons in electron-positron plasma

et al. 2018

View full text Add to dashboard Cite

Linear and nonlinear propagation of fast magnetohydrodynamic waves (or magnetoacoustic waves) are studied in homogeneous, magnetized and warm collisionless electron-positron (e-p) plasma by using two fluid magnetohydrodynamic model. In the linear limit, the wave dispersion relation is obtained and wave dispersion effect which appears through inertial length in e-p plasma system is also discussed. Using reductive perturbation method, the Korteweg-de Vries (KdV) equation for small but finite wave amplitude of magnetoacoustic waves is derived with appropriate boundary conditions. The cnoidal wave and soliton solutions are obtained using well known Sagdeev potential approach for magnetoacoustic waves in e-p plasmas propagating in the direction perpendicular to the external magnetic field. The phase portrait analysis and numerical illustration of magnetoacoustic cnoidal waves and solitons is also presented by using the parameters such as magnetic field intensity, plasma density and temperature of electron and positron fluids for astrophysical plasma situations exist in the literature.

show abstract

“…The periodic (cnoidal) wave solution of Equation (37) is given by El-Shamy [54,55] and Karpman [54,55] …”

Section: Cnoidal Wave Solution Of Kdv Equationmentioning

confidence: 99%

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

Farhadkiyaei

Dorranian

2017

Contrib. Plasma Phys

View full text Add to dashboard Cite

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...

show abstract

Nonlinear ion-acoustic cnoidal waves in a dense relativistic degenerate magnetoplasma

Cited by 51 publications

References 30 publications

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

Fast magnetohydrodynamic cnoidal waves and solitons in electron-positron plasma

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

Contact Info

Product

Resources

About