Nonlinear propagation of dust-acoustic waves in an unmagnetized dusty plasma with nonthermal electron and vortex-like ion distribution

A theoretical investigation has been made of the nonlinear propagation of dust-acoustic waves in a magnetized three-component dusty plasma consisting of a negatively charged dust fluid, free electrons and vortex-like distributed ions. It is found that, owing to the departure from the Boltzmann ion distribution to a vortex-like one, the dynamics of small- but finite-amplitude dust-acoustic waves in a magnetized dusty plasma is governed by the modified Korteweg–de Vries equation. The latter admits a stationary dust-acoustic solitary-wave solution that has larger amplitude, smaller width and higher propagation velocity than that involving adiabatic ions. The effects of external magnetic field, trapped ions and free electrons on the properties of these dust-acoustic solitary waves are briefly discussed.

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Effects of obliqueness and strong electrostatic interaction on linear and nonlinear propagation of dust-acoustic waves in a magnetized strongly coupled dusty plasma

Physics of Plasmas ◽

10.1063/1.4869091 ◽

2014 ◽

Vol 21 (3) ◽

pp. 033704 ◽

Cited By ~ 11

Author(s):

M. Shahmansouri ◽

A. A. Mamun

Keyword(s):

Dusty Plasma ◽

Electrostatic Interaction ◽

Acoustic Waves ◽

Nonlinear Propagation ◽

Dust Acoustic Waves ◽

Strongly Coupled ◽

Strong Electrostatic Interaction ◽

Dust Acoustic ◽

Linear And Nonlinear ◽

Strongly Coupled Dusty Plasma

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Nonlinear dust-acoustic waves in a strongly coupled dusty plasma with vortexlike ion distribution

Physics of Plasmas ◽

10.1063/1.3132630 ◽

2009 ◽

Vol 16 (5) ◽

pp. 053704 ◽

Cited By ~ 26

Author(s):

M. G. M. Anowar ◽

M. S. Rahman ◽

A. A. Mamun

Keyword(s):

Dusty Plasma ◽

Acoustic Waves ◽

Ion Distribution ◽

Dust Acoustic Waves ◽

Strongly Coupled ◽

Dust Acoustic ◽

Strongly Coupled Dusty Plasma

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Nonlinearly coupled Langmuir and dust-acoustic waves in a dusty plasma

Journal of Plasma Physics ◽

10.1017/s002237789800717x ◽

1998 ◽

Vol 60 (3) ◽

pp. 551-567 ◽

Cited By ~ 19

Author(s):

S. V. SINGH ◽

N. N. RAO ◽

P. K. SHUKLA

Keyword(s):

Dusty Plasma ◽

Acoustic Waves ◽

Large Amplitude ◽

Nonlinear Propagation ◽

Boussinesq System ◽

Dust Acoustic Waves ◽

Localized Solutions ◽

Coupled Mode ◽

Dust Acoustic ◽

Quasineutral Limit

The nonlinear propagation of coupled Langmuir and dust-acoustic waves in a multi-component dusty plasma is considered. The coupled mode propagation is described by a Schrödinger–Boussinesq system, which reduces to the Schrödinger–KdV system for unidirectional wave propagation. For stationary propagation, the coupled waves are governed by a generic Hamiltonian that is integrable in both sub- and the supersonic regimes of Mach number. Depending on the parameter regimes, exact analytical solutions for the coupled waves having single-, double- and triple-hump structures for the Langmuir field intensity are obtained. The exact governing equations for large-amplitude waves are also derived, and are solved approximately. The existence conditions for large-amplitude localized solutions in the quasineutral limit are discussed.

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