Dust-ion-acoustic solitary waves in a dusty plasma with arbitrarily charged dust and non-thermal electrons

Kundu, N. R.; Mamun, A. A.

doi:10.1017/s0022377812000578

Cited by 13 publications

(7 citation statements)

References 25 publications

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“…Figure 1(b) shows that the phase velocity of both the fast and slow waves is higher in the presence of negatively charged dust particles than the electron ion plasma case and less in the presence of positively charged dust particles. This increase in the phase velocity in the presence of negatively charged dust particles is due to the depletion of electron density in the background plasma which enlarge the electron Debye radius, i.e., there appears to be a stronger space charge electric field, which is responsible for the enhanced phase velocity of DIA waves (Kundu and Mamun 2012). Figure 1(c) indicates that with the increase of the negatively charged dust concentration, the phase velocity of both the fast and slow modes increases.…”

Section: Parametric Investigation Of Dispersion Relationmentioning

confidence: 99%

Small amplitude two dimensional electrostatic excitations in a magnetized dusty plasma with q $q$ -distributed electrons

Khan

Adnan

Qamar

et al. 2016

Astrophys Space Sci

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The propagation of linear and nonlinear electrostatic waves is investigated in magnetized dusty plasma with stationary negatively or positively charged dust, cold mobile ions and non-extensive electrons. Two normal modes are predicted in the linear regime, whose characteristics are investigated parametrically, focusing on the effect of electrons non-extensivity, dust charge polarity, concentration of dust and magnetic field strength. Using the reductive perturbation technique, a Zakharov-Kuznetsov (ZK) type equation is derived which governs the dynamics of small-amplitude solitary waves in magnetized dusty plasma. The properties of the solitary wave structures are analyzed numerically with the system parameters i.e. electrons non-extensivity, concentration of dust, polarity of dust and magnetic field strength. Following Allen and Rowlands (J. Plasma Phys. 53:63, 1995), we have shown that the pulse soliton solution of the ZK equation is unstable, and have analytically traced the dependence of the instability growth rate on the nonextensive parameter q for electrons, dust charge polarity and magnetic field strength. The results should be useful for understanding the nonlinear propagation of DIA solitary waves in laboratory and space plasmas.

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Section: Parametric Investigation Of Dispersion Relationmentioning

confidence: 99%

Small amplitude two dimensional electrostatic excitations in a magnetized dusty plasma with q $q$ -distributed electrons

Khan

Adnan

Qamar

et al. 2016

Astrophys Space Sci

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“…They have derived mK-dV equations and found only positive potential due to trapped electrons. Kundu and Mamun have considered three components unmagnetized dusty plasma and studied the nonlinear propagation of DIA solitary waves with arbitrarily charged stationary dust and non-thermaly distributed electrons [18]. They have shown that the DIA waves can support solitary structures associated with both positive and negative potential due to the presence of non-thermal electrons in their dusty plasma model.…”

Section: Introductionmentioning

confidence: 99%

Multi-component Dust-ion-acoustic Solitary and Shock Waves in an Unmagnetized Dusty Plasma with Kappa Distributed Superthermal Electrons

Rahman¹

2017

AdAp

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A theoretical investigation has been carried out for understanding the nonlinear propagation characteristics of the dust-ion-acoustic (DIA) solitary and shock waves in an unmagnetized dusty plasma containing Maxwellian negative ions, superthermally distributed electrons, positively charged stationary dust particles and cold mobile inertial positive ions. The reductive perturbation method has been employed to derive the Korteweg-de Vries (K-dV), modified Korteweg-de Vries (mK-dV) as well as Burger equations along with its solutions in order to study the basic features of such waves both numerically and analytically. It has been found that the presence of superthermal electrons significantly modifies the basic properties of such DIA solitary and shock wave structures. The present investigation can be very effective for understanding and studying various astrophysical environments (viz. Saturn magnetosphere, pulsar magnetosphere, etc).

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“…1992). Therefore with dust as a stationary background, dust charge may be constant (Kundu & Mamun 2012) and so it is ‘dust ion acoustic’. In dust acoustic solitons with mobile dust, variable dust charges are being considered although it is questionable for conservation of mass.…”

Section: Introductionmentioning

confidence: 99%

“…Kopnin et al (2005) have pointed out that the dust grain charging process is described in terms of the so-called orbit motion (Barnes et al 1992). Therefore with dust as a stationary background, dust charge may be constant (Kundu & Mamun 2012) and so it is 'dust ion acoustic'. In dust acoustic solitons with mobile dust, variable dust charges are being considered although it is questionable for conservation of mass.…”

Section: Introductionmentioning

confidence: 99%

Comparative study of dust ion acoustic Korteweg–de Vries and modified Korteweg–de Vries solitons in dusty plasmas with variable temperatures

Kalita

Das

2017

J. Plasma Phys.

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In this plasma model, consisting of ions and electrons with pressure variations in both the components in the presence of stationary dust, both compressive and rarefactive Korteweg–de Vries (KdV) solitons of interesting character are established. Based on high dust charge, characteristics of soliton growth are found to be amplified for various pairs of ion and electron streaming speeds. It is noteworthy to mention that for some pairs of ion and electron initial streaming speeds, only compressive KdV solitons with either decreasing or increasing growth are shown to reflect. Contrary to this, for some other pairs of ion and electron streaming speeds, the amplitudes of both rarefactive and compressive solitons are seen to be produced, changing from rarefactive to compressive growth. At the stationary background of the massive dust particles, the lighter particles suffer appreciable initial drifts (backwards streaming) which characteristically change the growth of solitons. For inclusion of higher-order nonlinearity, only compressive modified Korteweg–de Vries (MKdV) solitons of much higher amplitude are found to exist whereas for the same set of parameter values both compressive and rarefactive KdV solitons are found to exist. Smaller values of electron streaming speed are seen to produce high amplitude MKdV solitons. We also observe that due to higher-order nonlinearity, the nonlinear monotonic growth of amplitudes of MKdV solitons is supported by the almost equal streaming speed pairs of ions and electrons for relatively small values of $Z_{d}$, where $Z_{d}$ is the number of charges in a dust particle

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Dust-ion-acoustic solitary waves in a dusty plasma with arbitrarily charged dust and non-thermal electrons

Cited by 13 publications

References 25 publications

Small amplitude two dimensional electrostatic excitations in a magnetized dusty plasma with q $q$ -distributed electrons

Small amplitude two dimensional electrostatic excitations in a magnetized dusty plasma with q $q$ -distributed electrons

Multi-component Dust-ion-acoustic Solitary and Shock Waves in an Unmagnetized Dusty Plasma with Kappa Distributed Superthermal Electrons

Comparative study of dust ion acoustic Korteweg–de Vries and modified Korteweg–de Vries solitons in dusty plasmas with variable temperatures

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