Modulation of ion sound excitations in electron–ion plasmas with double spectral index distribution function

Ullah, Shakir; Masood, W.; Siddiq, M.

doi:10.1002/ctpp.201900182

Cited by 14 publications

(3 citation statements)

References 56 publications

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“…The generalized ( r , q ) distribution function reduces to Maxwellian distribution in the limit

r = 0

and

q \to \infty

, whereas it reduces to kappa distribution function at

r = 0

and

q \to κ + 1

. The normalized number density of electrons after integrating Equation (7) over velocity space is given by [ 23,29,30,33 ]

n_{e} = 1 + A Φ + B {normalΦ}^{2} + C {normalΦ}^{3} + \dots,

where

A = \frac{{(q goodbreak- 1)}^{\frac{- 1}{1 + r}} Γ [q - \frac{1}{2 + 2 r}] Γ [\frac{1}{2 + 2 r}]}{2 β Γ [\frac{3}{2 + 2 r}] Γ [q - \frac{3}{2 + 2 r}]},

B = \frac{- {(q goodbreak- 1)}^{\frac{- 2}{1 + r}} Γ [\frac{- 1}{2 + 2 r}] Γ [q + \frac{1}{2 + 2 r}]}{8 β^{2} Γ [\frac{3}{2 + 2 r}] Γ}

…”

Section: Basic Set Of Model Equationsmentioning

confidence: 99%

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Interaction of dust ion acoustic solitons with cubic nonlinearity in a magnetized dusty plasma with () distributed electrons

Shohaib

Masood

Jahangir

et al. 2022

Contributions to Plasma Physics

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Dust ion acoustic waves (DIAWs) are analysed in multi‐component plasmas via reductive perturbation technique comprising inertial ions, (r, q) distributed electrons, and stationary dust by using fluid theory of plasmas. The modified Kadomtsev‐Petviashvili (MKP) equation is obtained for the critical condition at which the quadratic nonlinearity vanishes. Hirota's bilinear formalism is employed, for the first time, to study the two‐soliton solutions of MKP equation in the context of plasma physics. The effects of flatness at low energy (represented by r) and superthermality at high energy (represented by q) of electrons in phase space are investigated for the linear and nonlinear propagation of DIAWs. It is found that the amplitude of the nonlinear DIAW is highest for the flat‐topped distribution, whereas it is lowest for kappa distribution. Using the plasma parameters of Saturn's B‐ring. The estimates are given of the spatial scales over which the MKP solitons form for flat‐topped, kappa, and Maxwellian distributions, respectively. It is also discussed in detail how the presence of dust and non‐Maxwellian electron distributions affect the interaction of MKP solitons in Saturn's B‐ring. In addition, the interaction of a compressive and rarefactive soliton is studied giving results not achievable for KdV and KP equations.

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“…The generalized ( r , q ) distribution function reduces to Maxwellian distribution in the limit

r = 0

and

q \to \infty

, whereas it reduces to kappa distribution function at

r = 0

and

q \to κ + 1

. The normalized number density of electrons after integrating Equation (7) over velocity space is given by [ 23,29,30,33 ]

n_{e} = 1 + A Φ + B {normalΦ}^{2} + C {normalΦ}^{3} + \dots,

where

A = \frac{{(q goodbreak- 1)}^{\frac{- 1}{1 + r}} Γ [q - \frac{1}{2 + 2 r}] Γ [\frac{1}{2 + 2 r}]}{2 β Γ [\frac{3}{2 + 2 r}] Γ [q - \frac{3}{2 + 2 r}]},

B = \frac{- {(q goodbreak- 1)}^{\frac{- 2}{1 + r}} Γ [\frac{- 1}{2 + 2 r}] Γ [q + \frac{1}{2 + 2 r}]}{8 β^{2} Γ [\frac{3}{2 + 2 r}] Γ}

…”

Section: Basic Set Of Model Equationsmentioning

confidence: 99%

“…[ 23,25 ] The effect of generalized (

r, q

) distribution with regard to wave propagation in plasmas has also been investigated in the recent past. [ 26–37 ]…”

Section: Introductionmentioning

confidence: 99%

Interaction of dust ion acoustic solitons with cubic nonlinearity in a magnetized dusty plasma with () distributed electrons

Shohaib

Masood

Jahangir

et al. 2022

Contributions to Plasma Physics

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“…They have also recently been shown to satisfactorily explain the features in the data in the Earth's magnetosphere. They have also been shown to significantly affect the propagation of electrostatic and electromagnetic waves in both homogeneous and inhomogeneous plasmas [44][45][46][47][48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear cnoidal waves and solitary structures in unmagnetized plasmas with generalized (r, q) distributed electrons

et al. 2020

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Theoretical investigation of electrostatic ion acoustic periodic (cnoidal) waves and solitons with warm ions is presented with electrons that are assumed to follow the double spectral index distribution function. The double spectral index distribution imitates effectively the distributions that have often been seen in space plasmas. Using the standard reductive perturbation technique, the Korteweg–de Vries (KdV) equation is derived which describes the nonlinear periodic waves with appropriate boundary conditions. By using planar dynamical system to this KdV equation, the existence of solitary wave solutions and periodic wave solutions are found. It is shown that changing the electron population in regions of low and high phase space density regions alter the propagation characteristics of nonlinear ion acoustic periodic and solitary structures. Comparison of non-Maxwellian distribution functions with Maxwellian distribution is also made. The importance of the present work with regard to space plasmas is also pointed out.

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Large Amplitude Electrostatic (Un)modulated Excitations in Anisotropic Magnetoplasmas: Solitons and Freak Waves

et al. 2022

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Modulation of ion sound excitations in electron–ion plasmas with double spectral index distribution function

Cited by 14 publications

References 56 publications

Interaction of dust ion acoustic solitons with cubic nonlinearity in a magnetized dusty plasma with () distributed electrons

Interaction of dust ion acoustic solitons with cubic nonlinearity in a magnetized dusty plasma with () distributed electrons

Nonlinear cnoidal waves and solitary structures in unmagnetized plasmas with generalized (r, q) distributed electrons

Large Amplitude Electrostatic (Un)modulated Excitations in Anisotropic Magnetoplasmas: Solitons and Freak Waves

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