Nonlinear dust acoustic rogue waves in a two temperature charged dusty grains plasma

Selim, M. M.; Abdelwahed, H. G.; El-Attafi, M. A.

doi:10.1007/s10509-015-2475-4

Cited by 16 publications

(14 citation statements)

References 37 publications

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“…The results of our present investigation will be useful in understanding the propagation of DAWs, MI of DARWs, and finally the generation of the DARWs in space plasma medium (viz. Saturn F-ring [1], circum-solar dust grains [2], and interstellar molecular clouds [3], etc.) and also laboratory DP (viz.…”

Section: Resultsmentioning

confidence: 99%

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Dust-acoustic Rogue Waves in Four-Component Plasmas

et al. 2020

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A theoretical investigation has been made on modulational instability (MI) and dust-acoustic (DA) rogue waves (DARWs) in a four dusty plasma medium containing inertial negatively charged massive heavy (light) cold (hot) dust grains as well as superthermal electrons and non-thermal ions. The reductive perturbation method is used to derive the nonlinear Schrödinger equation, and two types of modes, namely fast and slow DA modes, have been observed. The conditions for the MI and the formation of associated DARWs are found to be significantly modified by the effects of non-thermality of ions (α), super-thermality of electrons (κ), density-ratio of non-thermal ion to cold dust (µ i ), and mass-ratio of cold dust to hot dust (σ), etc. The implications of our current investigation in space and laboratory plasmas are briefly discussed.

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Section: Resultsmentioning

confidence: 99%

“…Now-a-days, scientist are enthralled by the natural elegance of dusty plasmas (DP) because of their existence in space (viz. Saturn F-ring [1], circum-solar dust grains [2], and interstellar molecular clouds [3], etc.) and enormous application in laboratory (viz.…”

Section: Introductionmentioning

confidence: 99%

Dust-acoustic Rogue Waves in Four-Component Plasmas

et al. 2020

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“…To study the MI of DAWs, we will derive the NLSE by employing the standard multiple scale (reductive perturbation) technique . Let A be the state (column) vector ( n d , u d , ϕ ) T , describing the system's state at a given position x and instant t. We shall consider small deviations from the equilibrium state A (0) = (1, 0, 0) T by taking …”

Section: Derivation Of Nlsementioning

confidence: 99%

“…

A = A^{((), 0)} + ϵ A^{((), 1)} + ϵ^{2} A^{((), 2)} + \dots = A^{((), 0)} + {false\sum}_{n = 1}^{\infty} ϵ^{n} A^{((), n)},

where ϵ ≪ 1 is a smallness parameter. In the standard multiple scale (reductive perturbation) technique, the stretched (slow) space and time variables are commonly used by many authors as follows:

ξ = ϵ (x - v_{g} t), τ = ϵ^{2} t,

where v g is the group velocity in the x direction. We assume that all perturbed states depend on the fast scales via the phase θ 1 = kx − ωt only, while the slow scales enter the argument of the l th harmonic amplitude

A_{l}^{((), n)}

, which is allowed to vary along x ,

A^{((), n)} = {false\sum}_{l = - \infty}^{\infty} A_{l}^{((), n)} (ξ, τ) e^{il (kx - ω italict)} .

…”

Section: Derivation Of Nlsementioning

confidence: 99%

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Dust‐acoustic envelope solitons in super‐thermal plasmas

Noman

Chowdhury

Mannan

et al. 2019

Contributions to Plasma Physics

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The modulational instability (MI) of the dust‐acoustic waves (DAWs) in an electron‐positron‐ion‐dust plasma (containing super‐thermal electrons, positrons, and ions along with negatively charged adiabatic dust grains) is investigated by the analysis of the non‐linear Schrödinger equation (NLSE). To derive the NLSE, the reductive perturbation method was employed. Two different parametric regions for stable and unstable DAWs are observed. The presence of super‐thermal electrons, positrons, and ions significantly modifies both the stable and unstable regions. The critical wave number kc (at which MI sets in) depends on the super‐thermal electron, positron, and ion, and adiabatic dust concentrations.

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Rogue waves in electronegative space plasmas: The link between the family of the KdV equations and the nonlinear Schrödinger equation

El-Tantawy

2016

Astrophys Space Sci

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Nonlinear dust acoustic rogue waves in a two temperature charged dusty grains plasma

Cited by 16 publications

References 37 publications

Dust-acoustic Rogue Waves in Four-Component Plasmas

Dust-acoustic Rogue Waves in Four-Component Plasmas

Dust‐acoustic envelope solitons in super‐thermal plasmas

Rogue waves in electronegative space plasmas: The link between the family of the KdV equations and the nonlinear Schrödinger equation

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