Dust-acoustic cnoidal waves in a magnetized quantum dusty plasma

Sethi, Papihra; Saini, N. S.

doi:10.1080/17455030.2019.1679908

Cited by 9 publications

(8 citation statements)

References 36 publications

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“…n i0 , n e0 , and n d0 are the unperturbed ion, electron, and dust number densities, respectively. The wave dynamics is governed by the following set of normalized fluid equations [25]:…”

Section: Basic Equationsmentioning

confidence: 99%

“…Recently, the survey of nonlinear dust acoustic cnoidal waves was presented in a magnetized dusty plasma composed of inertial dust, inertialess quantum ions, and electrons [25]. As far as we know, no attempt has been made to look into the multi-dimensional instability of the DAWs in a magnetized dusty plasma composed of inertial negatively or positively charged dust, inertialess quantum electrons, and ions.…”

Section: Introductionmentioning

confidence: 99%

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Multi-dimensional Instability of Dust Acoustic Waves in Magnetized Quantum Plasmas with Positive or Negative Dust

Gao

2020

Braz J Phys

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“…n i0 , n e0 , and n d0 are the unperturbed ion, electron, and dust number densities, respectively. The wave dynamics is governed by the following set of normalized fluid equations [25]:…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multi-dimensional Instability of Dust Acoustic Waves in Magnetized Quantum Plasmas with Positive or Negative Dust

Gao

2020

Braz J Phys

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“…This KdV model remains the focus of active mathematical research for the past several years and it could model many significant physical phenomena such as gas dynamics, waves on shallow water surfaces, hydromagnetic, blood flow in arteries, and so on. Numerous investigations have been carried out on the framework of KdV theory in the context of DIAWs for distinct multicomponent plasmas [11][12][13][14][15][16]. Further, in view of laboratory and space plasma applications, some of the research efforts have been made on dust ion solitary wave solution in the framework of damped and forced KdV equation [17,18].…”

Section: Introductionmentioning

confidence: 99%

Analysis of solitons structure of the damped KdV equation arising in superthermal plasmas: Application of homotopy analysis method

Kumar

Jana

2023

Proc Appl Math and Mech

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The aim of the proposed work is to analyze the soliton structures of dust-ion acoustic waves obtained in the framework of the Korteg-de Vries (KdV) equation with the presence of a damping term. The concept of electron acoustic solitary wave in an unmagnetized plasma consisting of superthermal electrons has been taken into consideration. The KdV equation with the presence of a damping term has been derived with the help of the reductive perturbation technique and solved by using the well-known homotopy analysis method. The considered method approximates all problems in a straightforward and simplified manner. The method computes the series solution efficiently and provides a simple way to ensure its convergence. The approximate analytical solution obtained from the present analysis is compared with available results in the literature for a different choice of pertinent parameters. The upshots specified that the amplitude of solitary waves increases for increasing values of the damping parameter. This study would in a way to demonstrate the potential and effectiveness of the homotopy analysis method to evaluate the various kinds of nonlinear equations arising in the soliton theory.

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“…The effect of different plasma parameters like ion pressure anisotropy and obliqueness of the field on the structure of IACWs have been studied. Sethi and Saini [49] have analyzed dust-acoustic cnoidal waves in a magnetized quantum dusty plasma. The influence of various parameters such as the quantum diffraction parameter of electrons and ions, magnetic field strength, obliqueness, the density of ions, and the Fermi temperature of electrons and ions on the characteristics of cnoidal waves have been investigated in [49].…”

Section: Introductionmentioning

confidence: 99%

“…Sethi and Saini [49] have analyzed dust-acoustic cnoidal waves in a magnetized quantum dusty plasma. The influence of various parameters such as the quantum diffraction parameter of electrons and ions, magnetic field strength, obliqueness, the density of ions, and the Fermi temperature of electrons and ions on the characteristics of cnoidal waves have been investigated in [49]. Also, the magnetoacoustic nonlinear periodic (cnoidal) wave and solitons in multi-ion plasmas were presented in [50].…”

Section: Introductionmentioning

confidence: 99%

Physical aspects of cnoidal waves in non-thermal electron-beam plasma systems

Mehdipoor¹,

Asri²

2022

Phys. Scr.

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The effects of electron beam and non-thermal electrons on ion-acoustic cnoidal waves (IACWs) structure in a two-fluid plasma system are investigated. A Kappa-Cairns type distribution is assumed for the background electrons. The Korteweg–de Vries (K-dV) equation is obtained by employing reductive perturbation technique and the analytical solution of K-dV equation is derived by employing the Sagdeev pseudo-potential approach. It is seen that in the presence of the electron beam, four modes can exist in this plasma model. In this study, it is observed that only two modes are real in all cases. Furthermore, it is found that the characteristics of the ion-acoustic cnoidal wave depend strongly on the electron beam parameters (via ν and U 0) as well as the non-thermal indexes for the plasma electrons (via κ and α).

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Dust-acoustic cnoidal waves in a magnetized quantum dusty plasma

Cited by 9 publications

References 36 publications

Multi-dimensional Instability of Dust Acoustic Waves in Magnetized Quantum Plasmas with Positive or Negative Dust

Multi-dimensional Instability of Dust Acoustic Waves in Magnetized Quantum Plasmas with Positive or Negative Dust

Analysis of solitons structure of the damped KdV equation arising in superthermal plasmas: Application of homotopy analysis method

Physical aspects of cnoidal waves in non-thermal electron-beam plasma systems

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