Nonlinear Dust Kinetic Alfvén Waves in Warm Dusty Plasmas

Abstract. Ion-acoustic envelope solitary waves in a very dense plasma comprised of the electrons, positrons and ions are investigated. For this purpose, the quantum hydrodynamic model and the Poisson equation are used. A modified nonlinear Schrödinger equation is derived by employing the reductive perturbation method. The effects of the quantum correction and of the positron density on the propagation and stability of the envelope solitary waves are examined. The nonplanar (cylindrical/spherical) geometry gives rise to an instability period. The latter cannot exist for planar case and it affected by the quantum parameters, as well as the positron density. The present investigation is relevant to white dwarfs. PACS. 52.27.Cm Multicomponent and negative-ion plasmas -52.35.Fp Electrostatic waves and oscillations (e.g., ion-acoustic waves) -52.35.Mw Nonlinear phenomena: waves, wave propagation, and other interactions

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“…[35,36]). Using (15) and (16) into equation (14), one obtains the nonlinear dispersion relation [35] …”

Section: Derivation Of the Nonlinear Dispersion Relationmentioning

confidence: 99%

Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma

2009

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“…They found that the increase of b plays a destructive role for solitons formed. Jukui [28] studied the effect of the finite dust temperature in dust kinetic Alfvén waves. Gogoi and Devi [29] investigated arbitrary amplitude double layers in warm plasma considering Boltzmann distributed ions and electrons and obtained exact analytical expression for the energy integral.…”

Section: Introductionmentioning

confidence: 99%

“…The previous studies [24][25][26][27][28][29][30][31] do not include the effect of ion inertia, consider finite …”

Section: Introductionmentioning

confidence: 99%

A study on dust inertial Alfvén solitary waves in a magnetized dust-ion-electron plasma using sagdeev potential method

Choudhury

2024

Phys. Scr.

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- The propagation characteristics of arbitrary amplitude Dust Inertial Alfvén Solitary Wave (DIASW) has been studied in a three-component plasma consisting of magnetized cold dust, magnetized cold ions and electrons with Boltzmann distribution. The range of Mach number where solitary waves can be formed has been established analytically. To discuss the behaviors of the DIASWs, the Sagdeev potential method is used. Both rarefactive and compressive DIASWs travelling at sub and super Alfvénic speed are generated is this plasma model.

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Arbitrary amplitude double layers in warm dust kinetic Alfvén wave plasmas

Gogoi

Devi

2008

Physics of Plasmas

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Large amplitude electrostatic structures associated with low-frequency dust kinetic Alfvénic waves are investigated under the pressure (temperature) gradient indicative of dust dynamics. The set of equations governing the dust dynamics, Boltzmann electrons, ions and Maxwell’s equation have been reduced to a single equation known as the Sagdeev potential equation. Parameter ranges for the existence of arbitrary amplitude double layers are observed. Exact analytical expressions for the energy integral is obtained and computed numerically through which sub-Alfvénic arbitrary amplitude rarefactive double layers are found to exist.

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Nonlinear Dust Kinetic Alfvén Waves in Warm Dusty Plasmas

Cited by 4 publications

References 15 publications

Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma

Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma

A study on dust inertial Alfvén solitary waves in a magnetized dust-ion-electron plasma using sagdeev potential method

Arbitrary amplitude double layers in warm dust kinetic Alfvén wave plasmas

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