Generation of rogue waves in space dusty plasmas

Rahman, Md. Habibur; Mannan, A.; Chowdhury, N. A.; Mamun, A. A.

doi:10.1063/1.5052434

Cited by 36 publications

(33 citation statements)

References 33 publications

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“…To study IASHWs, we derive Burgers' equation by employing the reductive perturbation method (RPM) [36,37], and the stretched coordinates for independent variables can be written as [38,39,40]…”

Section: Derivation Of the Burgers' Equationmentioning

confidence: 99%

“…ions in astrophysical compact objects (viz., white dwarfs and neutron stars) has received a substantial attention to investigate ion-acoustic (IA) waves (IAWs) in degenerate quantum plasma (DQP). The particle number density in the white dwarfs (i.e., 6×10 29 cm −3 ) and neutron stars (i.e., 6×10 36 cm −3 ) is extremely high [1,9,11,13]. This extreme number density of these degenerate particles dictates to follow the Heisenberg's uncertainty principle, and according to the uncertainty principle when the position of these particles is confined then the momentum of these particles tends to very large.…”

Section: Introductionmentioning

confidence: 99%

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Obliquely propagating ion-acoustic shock waves in degenerate quantum plasma

Islam¹,

Biswas²,

Chowdhury³

et al. 2021

Preprint

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A theoretical investigation has been carried out on the propagation of nonlinear ion-acoustic shock waves (IASHWs) in a collsionless magnetized degenerate quantum plasma system composed of inertial non-relativistic positively charged light and heavy ions, inertialess ultra-relativistically degenerate electrons and positrons. The reductive perturbation method has been employed to drive the Burgers' equation. It has been observed that under consideration, our plasma model supports only positive potential shock structure. It is also found that the amplitude and steepness of the IASHWs have been significantly modified by the variation of ion kinematic viscosity, oblique angle, number density, and charge state of the plasma species. The results of our present investigation will be helpful for understanding the propagation of IASHWs in white dwarfs and neutron stars.

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Section: Derivation Of the Burgers' Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Obliquely propagating ion-acoustic shock waves in degenerate quantum plasma

Islam¹,

Biswas²,

Chowdhury³

et al. 2021

Preprint

Self Cite

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“…The plot of P/Q against k yields stable and unstable parametric regimes of the DAWs. The point, at which the transition of P/Q curve intersect with k-axis, is known as threshold or critical wave number k (= k c ) [18,19,20,21,22,23,24,25]. The governing equation for highly energetic DARWs in the modulationally unstable parametric regime (P/Q > 0) can be written as [26,27,28,29,30]…”

Section: Modulational Instability and Rogue Wavesmentioning

confidence: 99%

Dust-acoustic rogue waves in non-thermal plasmas

et al. 2020

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The nonlinear propagation of dust-acoustic (DA) waves (DAWs) and associated DA rogue waves (DARWs), which are governed by the nonlinear Schrödinger equation, is theoretically investigated in a four component plasma medium containing inertial warm negatively charged dust grains and inertialess non-thermal distributed electrons as well as iso-thermal positrons and ions. The modulationally stable and unstable parametric regimes of DAWs are numerically studied for the plasma parameters. Furthermore, the effects of temperature ratios of ion-to-electron and ion-to-positron, and the number density of ion and dust grains on the DARWs are investigated. It is observed that the physical parameters play a very crucial role in the formation of DARWs. These results may be useful in understanding the electrostatic excitations in dusty plasmas in space and laboratory situations.

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“…Vasylinaus [25] first demonstrated the super-thermal κdistribution for explaining the high energy tails which can be observed in the non-equilibrium plasma systems [26,27,28,29], and introduced the parameter κ in the superthermal κ-distribution for measuring the amount of deviation of the plasma species from Maxwell-Boltzmann distributions. Kaladze and Mahmood [26] investigated the nonlinear features of IAWs in a super-thermal plasma, and observed that the superthermal electrons can cause to decrease the height of the IAWs.…”

Section: Introductionmentioning

confidence: 99%

Ion-acoustic shock waves in a magnetized plasma featuring super-thermal distribution

Heera

Akter

Tamanna

et al. 2021

Preprint

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A theoretical investigation has been made on the propagation of ion-acoustic (IA) shock waves (IASHWs) in a magnetized pair-ion plasma having inertial warm positive and negative ions, and inertialess super-thermal electrons and positrons. The well known Burgers' equation has been derived by employing the reductive perturbation method. The plasma model supports both positive and negative shock structures under consideration of super-thermal electrons and positrons. It is found that the oblique angle (δ) enhances the magnitude of the amplitude of both positive and negative shock profiles. It is also observed that the steepness of the shock profiles decreases with the kinematic viscosity of the ion, and the height of the shock profile increases (decreases) with the mass of the positive (negative) ion. The implications of the results have been briefly discussed for space and laboratory plasmas.

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Generation of rogue waves in space dusty plasmas

Cited by 36 publications

References 33 publications

Obliquely propagating ion-acoustic shock waves in degenerate quantum plasma

Obliquely propagating ion-acoustic shock waves in degenerate quantum plasma

Dust-acoustic rogue waves in non-thermal plasmas

Ion-acoustic shock waves in a magnetized plasma featuring super-thermal distribution

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