Cairns-Gurevich equation for soliton in plasma expansion into vacuum

Annou, K.; Bara, Djemai; Bennaceur-Doumaz, D.

doi:10.1017/s0022377815000215

Cited by 16 publications

(3 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This normalized density in the small-amplitude limit, namely, Φ ≪ 1, is assumed to be the following form [35][36][37] : Here, we use the Cairns-Gurevich distribution function for trapped electrons.…”

Section: Theoretical Formulationmentioning

confidence: 99%

“…Here, we use the Cairns-Gurevich distribution function for trapped electrons. This normalized density in the small-amplitude limit, namely, Φ ≪ 1, is assumed to be the following form [35][36][37] :…”

Section: Theoretical Formulationmentioning

confidence: 99%

“…The aim of the present study is to use a hydrodynamic (HD) model to study dust-ion-acoustic (DIA) solitary waves in magnetized dusty plasmas by considering the trapped electrons (Cairns-Gurevich function), [35][36][37] the pair ions, and opposite polarity dust particles. Therefore, the aim of this research is to investigate the effects of some parameters on the stability and instability regions, such as the trapping parameter ( ), the non-thermal electron parameter (b), and the ion cyclotron frequency (Ω ci ).…”

mentioning

confidence: 99%

See 2 more Smart Citations

Dust‐ion‐acoustic solitary waves in a magnetized dusty pair‐ion plasma with Cairns‐Gurevich electrons and opposite polarity dust particles

Abdikian

2018

Contributions to Plasma Physics

View full text Add to dashboard Cite

The nonlinear dust-ion-acoustic (DIA) solitary structures have been studied in a dusty plasma, including the Cairns-Gurevich distribution for electrons, both negative and positive ions, and immobile opposite polarity dust grains. The external magnetic field directed along the z-axis is considered. By using the standard reductive perturbation technique and the hydrodynamics model for the ion fluid, the modified Zakharov-Kuznetsov equation was derived for small but finite amplitude waves and was provided the solitary wave solution for the parameters relevant. Using the appropriate independent variable, we could find the modified Korteweg-de Vries equation. By plotting some figures, we have discussed and emphasized how the different plasma values, such as the trapping parameter, the positive (or negative) dust number density, the non-thermal electron parameter, and the ion cyclotron frequency, can influence the solitary wave structures. In addition, using the bifurcation theory of planar dynamical systems, we have extracted the centre and saddle points and illustrated the phase portrait of such a system for some particular plasma parameters. Finally, we have graphically investigated the behaviour of the solitary energy wave by changing the plasma values as well as by calculating the instability criterion; we have also discussed the growth rate of the solitary waves. The results could be useful for studying the physical mechanism of nonlinear propagation of DIA solitary waves in laboratory and space plasmas where non-thermal electrons, pair-ions, and dust particles can exist. KEYWORDSdust-ion-acoustic solitary wave, the bifurcation theory, the Cairns-Gurevich distribution, the modified Zakharov-Kuznetsov equation, the reductive perturbation technique

show abstract

Section: Theoretical Formulationmentioning

confidence: 99%

Section: Theoretical Formulationmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Dust‐ion‐acoustic solitary waves in a magnetized dusty pair‐ion plasma with Cairns‐Gurevich electrons and opposite polarity dust particles

Abdikian

2018

Contributions to Plasma Physics

View full text Add to dashboard Cite

show abstract

The role of Cairns–Gurevich distributed electrons on obliquely propagating ion‐acoustic waves

Bouziane

Annou

2021

Contributions to Plasma Physics

Self Cite

View full text Add to dashboard Cite

We used a new distribution of electrons in a two-component magnetized plasma to study the non-linear ion-acoustic solitary structures. The distribution called "Cairns-Gurevich distribution" describes simultaneously the evolution of the energetic electrons and those trapped in the plasma potential well. A modified KdV equation describing the non-linear comportment of the ion-acoustic wave (IAW) was found by using the standard reductive perturbation technique and the appropriate independent variables. The behaviour of the soliton by changing the plasma parameters has been investigated, and we demonstrated that by decreasing the non-thermality parameter, the soliton solution amplitude is enhanced. In addition, we have discussed the growth rate of the solitary waves by calculating the instability criterion. Through discussion, we have conferred how different plasma parameters, such as the trapping, non-thermality, Mach number, obliqueness via the angle of propagation, and magnetic field via the ion-cyclotron frequency, can affect the solitary wave structures. This kind of theoretical studies can be relevant to understand the non-linear propagation of IA solitary waves plasmas of electrons and particles in laser-plasma interaction, pulsar magnetosphere, the auroral zone, and the upper ionosphere, where plasma with trapped and energetic electrons are often present.

show abstract

Dust-ion Collisional and Periodic Forcing Effects on Solitary Wave in a Plasma with Cairns-Gurevich Electron Distribution

Paul

Mondal

et al. 2022

Nonlinear Dynamics and Applications

View full text Add to dashboard Cite

Cairns-Gurevich equation for soliton in plasma expansion into vacuum

Cited by 16 publications

References 27 publications

Dust‐ion‐acoustic solitary waves in a magnetized dusty pair‐ion plasma with Cairns‐Gurevich electrons and opposite polarity dust particles

Dust‐ion‐acoustic solitary waves in a magnetized dusty pair‐ion plasma with Cairns‐Gurevich electrons and opposite polarity dust particles

The role of Cairns–Gurevich distributed electrons on obliquely propagating ion‐acoustic waves

Dust-ion Collisional and Periodic Forcing Effects on Solitary Wave in a Plasma with Cairns-Gurevich Electron Distribution

Contact Info

Product

Resources

About