Dust‐acoustic envelope solitons in super‐thermal plasmas

Noman, A.A.; Chowdhury, N. A.; Mannan, A.; Mamun, A. A.

doi:10.1002/ctpp.201900023

Cited by 11 publications

(21 citation statements)

References 39 publications

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“…The stable and unstable parametric regimes of the DIAWs are determined by the sign of the dispersion (P) and nonlinear (Q) coefficients of the standard NLSE [44][45][46][47]. The stability of DIAWs in a three-component DPM is governed by the sign of P and Q [44][45][46][47]. When P and Q are with the same sign (i.e., P/Q > 0), the evolution of the DI-AWs amplitude is modulationally unstable.…”

Section: Modulational Instability and Rogue Wavesmentioning

confidence: 99%

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Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Noman

Islam

Hassan

et al. 2021

Gases

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The standard nonlinear Schrödinger Equation (NLSE) is one of the elegant equations to find detailed information about the modulational instability criteria of dust-ion-acoustic (DIA) waves and associated DIA rogue waves (DIARWs) in a three-component dusty plasma medium with inertialess super-thermal kappa distributed electrons, and inertial warm positive ions and negative dust grains. It can be seen that the plasma system supports both fast and slow DIA modes under consideration of inertial warm ions along with inertial negatively charged dust grains. It is also found that the modulationally stable parametric regime decreases with κ. The numerical analysis has also shown that the amplitude of the first and second-order DIARWs decreases with ion temperature. These results are to be considered the cornerstone for explaining the real puzzles in space and laboratory dusty plasmas.

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Section: Modulational Instability and Rogue Wavesmentioning

confidence: 99%

“…The plot of P/Q against k yields stable and unstable parametric regimes of DIAWs. The point, at which transition of P/Q curve intersects with k-axis, is known as threshold or critical wave number k (=k c ) [44][45][46][47]. When P/Q > 0 andk < k c , the MI growth rate (Γ g ) is given by…”

Section: Modulational Instability and Rogue Wavesmentioning

confidence: 99%

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Noman

Islam

Hassan

et al. 2021

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“…To study the MI of the DIAWs, we want to derive the NLSE by employing the reductive perturbation method (RPM) and for that case, first we can write the stretched co-ordinates in the form [28][29][30] = (x − v g t), (…”

Section: Derivation Of the Nlsementioning

confidence: 99%

“…where v g is the group speed and (0 < < 1) is a small parameter measuring the weakness of the dispersion. Then, we can write the dependent variables as [28][29][30] n…”

Section: Derivation Of the Nlsementioning

confidence: 99%

Modulational instability of dust‐ion‐acoustic waves in pair‐ion plasma having non‐thermal non‐extensive electrons

Islam

Noman

Akter

et al. 2021

Contributions to Plasma Physics

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The modulational instability (MI) criteria of dust-ion-acoustic (DIA) waves (DIAWs) have been investigated in a four-component pair-ion plasma having inertial pair ions, inertialess non-thermal non-extensive electrons, and immobile negatively charged massive dust grains. A nonlinear Schrödinger equation (NLSE) is derived by using reductive perturbation method. The nonlinear and dispersive coefficients of the NLSE can predict the modulationally stable and unstable parametric regimes of DIAWs and associated first and second-order DIA rogue waves (DIARWs). The MI growth rate and the configuration of the DIARWs are examined, and it is found that the MI growth rate increases (decreases) with increasing the number density of the negatively charged dust grains in the presence (absence) of the negative ions. It is also observed that the amplitude and width of the DIARWs increase (decrease) with the negative (positive) ion mass. The implications of the results to laboratory and space plasmas are briefly discussed.

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“…[ 12 ] After observing the dominating part of electrons possessing excess energy in space plasmas [ 13–16 ] and laboratory environments, [ 17–19 ] they were formulated to follow the superthermal

κ

‐distribution. [ 20–22 ] The researchers have carried out much research work in the last few decades to study the origin, propagation, and characteristics of the rogue structures, [ 23–25 ] shock structures, [ 26–28 ] envelope solitons, [ 29–31 ] solitary structures, [ 32–36 ] etc. plasmas containing kappa‐distributed electrons/positrons/ions.…”

Section: Introductionmentioning

confidence: 99%

Damped dust‐ion‐acoustic solitons in collisional magnetized nonthermal plasmas

Hassan

Sultana

2021

Contributions to Plasma Physics

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A multispecies magnetized collisional nonthermal plasma system, containing inertial ion species, noninertial electron species following nonthermal κ‐distribution, and immobile dust particles, is considered to examine the characteristics of the dissipative dust‐ion‐acoustic soliton modes, theoretically and parametrically. The electrostatic solitary modes are found to be associated with the low‐frequency dissipative dust‐ion‐acoustic solitary waves (DIASWs). The ion‐neutral collision is taken into account, and the influence of ion‐neutral collisional effects on the dynamics of dissipative DIASWs is investigated. It is reported that most of the plasma medium in space and laboratory are far from thermal equilibrium, and the particles in such plasma system are well fitted via the κ‐nonthermal distribution than via the thermal Maxwellian distribution. The reductive perturbation approach is adopted to derive the damped KdV (dKdV) equation, and the solitary wave solution of the dKdV equation is derived via the tangent hyperbolic method to analyse the basic features (amplitude, width, speed, time evolution, etc.) of dissipative DIASWs. The propagation nature and also the basic features of dissipative DIASWs are seen to influence significantly due to the variation of the plasma configuration parameters and also due to the variation of the supethermality index κ in the considered plasma system. The implication of the results of this study could be useful for better understanding the electrostatic localized disturbances, in the ion length and time scale, in space and experimental dusty plasmas, where the presence of excess energetic electrons and ion‐neutral collisional damping are accountable.

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Dust‐acoustic envelope solitons in super‐thermal plasmas

Cited by 11 publications

References 39 publications

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Modulational instability of dust‐ion‐acoustic waves in pair‐ion plasma having non‐thermal non‐extensive electrons

Damped dust‐ion‐acoustic solitons in collisional magnetized nonthermal plasmas

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