Dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions

Pakzad, Hamid Reza; Javidan, Kurosh

doi:10.1007/s12043-009-0158-9

Cited by 22 publications

(13 citation statements)

References 29 publications

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“…[37][38][39][40][41][42] The coexistence of both DA solitons and double layers (DLs) has been studied in unmagnetized four component dusty plasma using Sagdeev's pseudopotential method. 43 Although many works have been done on nonlinear wave dynamics in e-p-dust plasmas 29,30,[44][45][46][47][48] and e-i-dust plasmas, 5,43,[49][50][51][52][53][54][55][56][57][58] however, only few studies exist on nonlinear structures in e-p-ion-dust plasmas. 59,60 In account of the ubiquitous existence of dust particulates in space and laboratory plasmas [26][27][28][29][30][31][32] and in relation with the associated observation of solitary structures, we follow the study of DA solitary waves in four components (e-p-i-d) plasma.…”

Section: Introductionmentioning

confidence: 99%

Large amplitude dust-acoustic solitary waves in electron-positron-ion plasma with dust grains

et al. 2012

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Propagation of large amplitude dust-acoustic (DA) solitary waves is investigated in electronpositron-ion plasmas in the presence of dust grains using Sagdeev potential method. It is shown that acceptable values of Mach number for propagation of the large amplitude DA solitary waves depend strongly on plasma parameters. It is also observed that the amplitude of DA solitary waves increases as both the Mach number M and dust charge Z d are increased. Furthermore, it is found that a dusty plasma with inertial dust fluid and Boltzmann distributed electrons, positrons, and ions admits only negative solitary potentials associated with nonlinear dust-acoustic waves. In addition, it is remarked that the formation of double layers is not possible in this plasma system. V C 2012 American Institute of Physics. [http://dx.

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Section: Introductionmentioning

confidence: 99%

Large amplitude dust-acoustic solitary waves in electron-positron-ion plasma with dust grains

et al. 2012

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“…(28,29) under the condition A [ 0, B [ 0 and u 0 [ 0. The potential function Vð/ 1 Þ versus / 1 for different values of b is shown graphically, Fig.…”

Section: Bifurcation Analysis and Soliton Solutionmentioning

confidence: 99%

“…Dusty plasma system with an iso-nonthermal ion distribution has been studied by [24], and they have studied the properties of shock waves via the obtained mKdV-Burgers equation that was derived using a set of generalized hydrodynamic equations. Pakzad and Javidan [29] have interpreted the dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions. Recently, [35] have investigated arbitrary amplitude DA waves in a nonextensive dusty plasma, where they have examined the effects of electrons and ions nonextensivity on the DA soliton profile.…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear analysis of dust acoustic waves in dissipative space dusty plasmas with trapped ions

et al. 2015

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The propagation of linear and nonlinear dust acoustic waves in a homogeneous unmagnetized, collisionless and dissipative dusty plasma consisted of extremely massive, micron-sized, negative dust grains has been investigated. The Boltzmann distribution is suggested for electrons whereas vortex-like distribution for ions. In the linear analysis, the dispersion relation is obtained, and the dependence of damping rate of the waves on the carrier wave number k, the dust kinematic viscosity coefficient g d and the ratio of the ions to the electrons temperatures r i is discussed. In the nonlinear analysis, the modified Korteweg-de Vries-Burgers (mKdV-Burgers) equation is derived via the reductive perturbation method. Bifurcation analysis is discussed for non-dissipative system in the absence of Burgers term. In the case of dissipative system, the tangent hyperbolic method is used to solve mKdV-Burgers equation, and yield the shock wave solution. The obtained results may be helpful in better understanding of waves propagation in the astrophysical plasmas as well as in inertial confinement fusion laboratory plasmas.

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“…Ashraf et al [23] studied the basic features of obliquely propagating DIASWs in a nonextensive magnetized dusty plasma containing nonextensive electrons, inertial ions, and negatively charged stationary dust. Pakzad and Javidan [24] studied dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions. They derived the Korteweg-de Vries-Burgers (KdVBurgers) equation and modified KdV-Burgers equation and showed the effects of important parameters such as ion nonthermal parameter, temperature, density, and velocity on the properties of shock waves and solitary waves.…”

Section: Introductionmentioning

confidence: 99%

Solitonic, Periodic and Quasiperiodic Behaviors of Dust Ion Acoustic Waves in Superthermal Plasmas

Saha

Chatterjee

2015

Braz J Phys

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The solitonic, periodic, and quasiperiodic behaviors of dust ion acoustic waves in superthermal plasmas with q-nonextensive electrons are studied using the bifurcation theory of planar dynamical systems through direct approach. Using a Galilean transformation, model equations are transformed to a Hamiltonian system involving electrostatic potential. The existence of solitary and periodic waves is shown for the unperturbed Hamiltonian system. Analytical forms of these waves are presented depending on physical parameters q and μ. The effects of q and μ are studied on characteristics of nonlinear dust ion acoustic solitary and periodic waves. It is observed that parameters q and μ significantly influence the characteristics of nonlinear dust ion acoustic solitary and periodic structures. Considering an external periodic perturbation, the quasiperiodic behavior of the perturbed Hamiltonian system for dust ion acoustic waves is studied. It is seen that the unperturbed Hamiltonian system has the solitary and periodic wave solutions whereas the perturbed Hamiltonian system has quasiperiodic motion for same values of parameters q, μ and v.

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Dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions

Cited by 22 publications

References 29 publications

Large amplitude dust-acoustic solitary waves in electron-positron-ion plasma with dust grains

Large amplitude dust-acoustic solitary waves in electron-positron-ion plasma with dust grains

Linear and nonlinear analysis of dust acoustic waves in dissipative space dusty plasmas with trapped ions

Solitonic, Periodic and Quasiperiodic Behaviors of Dust Ion Acoustic Waves in Superthermal Plasmas

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