A new damping effect for the dust-acoustic wave

Melandsø, Frank; Aslaksen, T.; Havnes, O.

doi:10.1016/0032-0633(93)90027-y

Cited by 299 publications

(113 citation statements)

References 12 publications

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“…The dust charge variable Q d is obtained from the chargecurrent balance equation (Melandsø et al 1993)…”

Section: Basic Equationsmentioning

confidence: 99%

Soliton energy of the Kadomtsev–Petviashvili equation in warm dusty plasma with variable dust charge, two-temperature ions, and nonthermal electrons

Pakzad

2009

Astrophys Space Sci

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The propagation of nonlinear waves in warm dusty plasmas with variable dust charge, two-temperature ions, and nonthermal electrons is studied. By using the reductive perturbation theory, the Kadomtsev-Petviashivili (KP) equation is derived. The energy of the soliton has been calculated. By using standard normal modes analysis a linear dispersion relation has been obtained. The effects of variable dust charge on the energy of the soliton and the angular frequency of the linear wave are also discussed. It is shown that the amplitude of solitary waves of the KP equation diverges at the critical values of plasma parameters. We derive solitons of a modified KP equation with finite amplitude in this situation.

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“…The dust charge variable Q d is obtained from the chargecurrent balance equation (Melandsø et al 1993)…”

Section: Basic Equationsmentioning

confidence: 99%

Soliton energy of the Kadomtsev–Petviashvili equation in warm dusty plasma with variable dust charge, two-temperature ions, and nonthermal electrons

Pakzad

2009

Astrophys Space Sci

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“…Substituting (49) into (10) -(12), (14) and (15) and using their linear terms one obtains linear dispersion relation as [23] ω γ all of the 's have positive imaginary parts, then the system is unstable since those normal modes will grow in time [23].…”

Section: Energy Of Soliton and Linear Dispersion Relationmentioning

confidence: 99%

Solitons of the KP equation in dusty plasma with variable dust charge and two temperature ions: energy and stability

Pakzad

Javidan

2009

Indian J Phys

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The propagation of nonlinear waves in dusty plasmas with variable dust charge and two temperature ions is analyzed. By using the reductive perturbation theory, the Kadomtsev-Petviashivili (KP) equation is derived. A Sagdeev potential has been investigated. This potential is used to study the stability conditions for existence of solitonic solutions. Also, it is shown that a rarefactive soliton can exist in most of the cases. The energy of the soliton has been calculated and by using the standard normal-mode analysis a linear dispersion relation has been obtained. The effects of variable dust charge on the amplitude, width and energy of soliton and its effects on the angular frequency of linear wave are also discussed.

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“…In the linear theory, it has already been seen that this mode also suffers Landau damping due to the resonant wave-particle interactions [9,10]. Another well known non-Landau damping mechanism in a dusty plasma is due to the dust charge variations in the presence of waves [11,20]. Actually, dust grains immersed in a plasma can exhibit self-consistent charge variations in response to the surrounding plasma oscillations and thus become a time-dependent dynamical variable which causes an anomalous dissipation in a dusty plasma.…”

Section: Introductionmentioning

confidence: 99%

Effects of Landau damping on finite amplitude low-frequency nonlinear waves in a dusty plasma

Sikdar¹,

Khan

2017

J Theor Appl Phys

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The effect of linear ion Landau damping on weakly nonlinear as well as weakly dispersive low-frequency waves in a dusty plasma is investigated. The standard perturbative approach leads to the Korteweg-de Vries (KdV) equation with a linear Landau damping term for the dynamics of the low-frequency nonlinear wave. Landau damping causes the wave amplitude to decay with time and the dust charge variation enhances the damping rate.

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A new damping effect for the dust-acoustic wave

Cited by 299 publications

References 12 publications

Soliton energy of the Kadomtsev–Petviashvili equation in warm dusty plasma with variable dust charge, two-temperature ions, and nonthermal electrons

Soliton energy of the Kadomtsev–Petviashvili equation in warm dusty plasma with variable dust charge, two-temperature ions, and nonthermal electrons

Solitons of the KP equation in dusty plasma with variable dust charge and two temperature ions: energy and stability

Effects of Landau damping on finite amplitude low-frequency nonlinear waves in a dusty plasma

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