Dust acoustic cnoidal waves in a polytropic complex plasma

El‐Labany, S. K.; El-Taibany, W. F.; Abdelghany, A. M.

doi:10.1063/1.5016552

Cited by 11 publications

(8 citation statements)

References 48 publications

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“…In this figure, it is depicted that as R increases, both of the width and the depth of the potential well increase. This result agrees exactly with that obtained by El-Labany et al [37] Hereafter, the profile of phase portraits in the phase plane Equation 27, which results from neglecting the Burgers term (dissipationless case, N = 0). The solitonic structures are shown in Figure 3a,b.…”

Section: Numerical Results and Conclusionsupporting

confidence: 92%

“…The value of the kinematic viscosity * is assumed to be small, so that we may rescale its value as * = 1/2 . [37] Moreover, the physical quantities that appear in the basic Equations (8)-(10), are expanded in power series of about their unperturbed quantities as follows…”

Section: Derivation Of the Kdvb Equationmentioning

confidence: 99%

“…The value of the kinematic viscosity η * is assumed to be small, so that we may rescale its value as η * = ϵ 1/2 η . [ 37 ]…”

Section: Derivation Of the Kdvb Equationmentioning

confidence: 99%

“…[ 35,36 ] Khrapak et al [ 36 ] have studied the propagation and the characteristics of DAWs taking into account the polarization effect. Mathematically, the polarization force is expressed as [ 36,37 ] F p = − q d 2 ∇ λ D /2 λ D 2 where

λ_{D} = λ_{Di} / \sqrt{1 + {(λ_{Di} false/ λ_{De})}^{2}}

represents the modified Debye length,

λ_{Di false(e false)} = \sqrt{T_{i false(e false)} / 4 π e^{2} n_{i false(e false)}}

stands for the ion (electron) Debye length, T i ( e ) is the ion (electron) temperature. The symbol n i ( e ) represents the number density of the ion (electron).…”

Section: Introductionmentioning

confidence: 99%

“… q d = − z d e , where z d represents the number of charges (e) on the dust grain surface, and (b), T i ∇ n i = n i e ∇ Φ. Φ represents the electrostatic potential, we can express the polarization force in a simpler form, [ 37,39,40 ] as

F_{p} = - z_{d} eR \sqrt{n_{i} / n_{io}} \nabla Φ

, where R = z d e 2 /4 T i λ Dio is the polarization parameter that measures the strength of polarization, n io represents the ion number density at equilibrium, and

λ_{Dio} = {(T_{i} false/ 4 π n_{io} e^{2})}^{\frac{1}{2}}

(For more details concerning the polarization force expression, see Appendix A). It is clear that the polarization force yields an opposite response relative to electrostatic force F e (= z d e ∇ Φ).…”

Section: Introductionmentioning

confidence: 99%

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Effects of double spectral electron distribution and polarization force on dust acoustic waves in a negative dusty plasma

El‐Labany

El-Taibany

El-Tantawy

et al. 2020

Contributions to Plasma Physics

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The nonlinear features of dust acoustic waves (DAWs) propagating in a multicomponent dusty plasma with negative dust grains, Maxwellian ions, and double spectral electron distribution (DSED) are investigated. A Korteweg de Vries Burgers equation (KdVB) is derived in the presence of the polarization force using the reductive perturbation technique (RPT). In the absence of the dissipation effect, the bifurcation analysis is introduced and various types of solutions are obtained. One of these solutions is the rarefactive solitary wave solution. Additionally, in the presence of the dissipation effects, the tanh method is employed to find out the solution of KdVB equation. Both of the monotonic and the oscillatory shock structures are numerically investigated. It is found that the correlation between dissipation and dispersion terms participates strongly in creating the dust acoustic shock wave. The limit of the DSED to the Maxwell distribution is examined. The distortional effects in the profile of the shock wave that result by increasing the values of the flatness parameter, r, and the tail parameter, q, are investigated. In addition, it has been shown that the proportional increase in the value of the polarization parameter R enhances in both of the strength of the monotonic shock wave and the amplitude of the oscillatory shock wave. The effectiveness of non-Maxwellian distributions, like DSED, in several of plasma situations is discussed as well.

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Section: Numerical Results and Conclusionsupporting

confidence: 92%

Section: Derivation Of the Kdvb Equationmentioning

confidence: 99%

“…The value of the kinematic viscosity η * is assumed to be small, so that we may rescale its value as η * = ϵ 1/2 η . [ 37 ]…”

Section: Derivation Of the Kdvb Equationmentioning

confidence: 99%

λ_{D} = λ_{Di} / \sqrt{1 + {(λ_{Di} false/ λ_{De})}^{2}}

represents the modified Debye length,

λ_{Di false(e false)} = \sqrt{T_{i false(e false)} / 4 π e^{2} n_{i false(e false)}}

stands for the ion (electron) Debye length, T i ( e ) is the ion (electron) temperature. The symbol n i ( e ) represents the number density of the ion (electron).…”

Section: Introductionmentioning

confidence: 99%

F_{p} = - z_{d} eR \sqrt{n_{i} / n_{io}} \nabla Φ

, where R = z d e 2 /4 T i λ Dio is the polarization parameter that measures the strength of polarization, n io represents the ion number density at equilibrium, and

λ_{Dio} = {(T_{i} false/ 4 π n_{io} e^{2})}^{\frac{1}{2}}

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effects of double spectral electron distribution and polarization force on dust acoustic waves in a negative dusty plasma

El‐Labany

El-Taibany

El-Tantawy

et al. 2020

Contributions to Plasma Physics

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Polarization force in an opposite polarity dusty plasma with hybrid Cairns–Tsallis distributed electrons

Farooq

Ahmad

Jan

2021

Contributions to Plasma Physics

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The effect of polarization force acting on oppositely charged dust grains in magnetized plasma is analysed for obliquely propagating low frequency electrostatic waves with Maxwellian ions, and non‐Maxwellian electrons following the hybrid Cairns–Tsallis velocity distribution. It is shown that the polarization force acting on positively charged dust grain is different from the one acting on negatively charged dust grain in the presence of hybrid Cairns–Tsallis distributed electrons. A nonlinear equation in the form of Zakharov–Kuznetsov equation is derived via perturbation analysis for the description of electrostatic solitary structures in the limit of weak‐amplitude. A parametric investigation determines the modifications arising in the propagation of dust acoustic soliton due to the presence of polarization force and hybrid Cairns–Tsallis distributed electrons. It is also found that the effect of polarization force is more pronounced for heavier dust grain with high charge number. Finally, there is a lower limit found for the q‐nonextensive parameter, below which modifications in soliton profile cease to exist due to the presence of hybrid Cairns–Tsallis distributed electrons.

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Nonlinear oscillations of dust‐acoustic waves in non‐Maxwellian dusty plasma under the gravitational force effect

Fermous,

Benzekka,

Amour

et al. 2024

Contrib. Plasma Phys

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In this paper, the role of dust grain's gravitational force on the nonlinear dust‐acoustic oscillations in non‐Maxwellian dusty plasma is analyzed. It is shown that increasing the number of non‐thermal ions causes the diminution of the electrostatic potential's amplitude and a reduction in the number of oscillations introduced by the gravitational force. We have also found that reducing the size of the dust grain induces qualitatively the same effects as an increase in the number of non‐thermal ions and when the gravitational force is considered, the electric charge exhibits oscillatory profile and becomes less negative far away from the origin. This result may be interesting in the study of astrophysical plasmas where the electromagnetic force is smaller than the gravitational one such as in the Halley Comet.

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Dust acoustic cnoidal waves in a polytropic complex plasma

Cited by 11 publications

References 48 publications

Effects of double spectral electron distribution and polarization force on dust acoustic waves in a negative dusty plasma

Effects of double spectral electron distribution and polarization force on dust acoustic waves in a negative dusty plasma

Polarization force in an opposite polarity dusty plasma with hybrid Cairns–Tsallis distributed electrons

Nonlinear oscillations of dust‐acoustic waves in non‐Maxwellian dusty plasma under the gravitational force effect

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