Nonlinear Korteweg–de Vries–Burger equation for ion acoustic shock waves in a weakly relativistic electron-positron-ion plasma with thermal ions

Saeed, Rostam K.; Shah, Asif

doi:10.1063/1.3328805

Cited by 30 publications

(25 citation statements)

References 40 publications

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“…While the scaling of η with σ was known in literature [38,39], the proposed scaling of τ π with σ used here is new and it is the simplest choice that is consistent with the sound mode dispersion relation (18) and (19).…”

Section: A Reductive Perturbation Methodsmentioning

confidence: 99%

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Nonlinear waves in second order conformal hydrodynamics

et al. 2015

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In this work we study wave propagation in dissipative relativistic fluids described by a simplified set of the 2nd order viscous conformal hydrodynamic equations corresponding to Israel-Stewart theory. Small amplitude waves are studied within the linearization approximation while waves with large amplitude are investigated using the reductive perturbation method, which is generalized to the case of 2nd order relativistic hydrodynamics. Our results indicate the presence of a "soliton-like" wave solution in Israel-Stewart hydrodynamics despite the presence of dissipation and relaxation effects.

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Section: A Reductive Perturbation Methodsmentioning

confidence: 99%

“…We also change the shear viscosity coefficient and the relaxation time to the (X, Y ) space in the following way [38,39] η = σ 1/2η and…”

Section: A Reductive Perturbation Methodsmentioning

confidence: 99%

Nonlinear waves in second order conformal hydrodynamics

et al. 2015

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“…, O -) on the shock wave amplitude is studied. We find that in a cometary plasma with the above components, the nonlinear wave is in a transition state from shock to soliton [20]. A reduction in the shock wave amplitude is seen with increasing spectral indices and positively charged oxygen ion density.…”

Section: Resultsmentioning

confidence: 69%

“…Using solar wind data, Vasyliunas first predicted a non-Maxwellian distribution [13]; this distribution, which later came to be known as the ''kappa distribution,'' has been found in many magnetospheric and astrophysical environments. Ion-acoustic shock waves in plasmas consisting of superthermal electrons and positrons have been studied recently by many authors [14][15][16][17][18][19][20]; the effects of electrons and positrons on ion acoustic solitary waves have also been studied [21].…”

Section: Introductionmentioning

confidence: 99%

Korteweg–deVries–Burgers (KdVB) equation in a five component cometary plasma with kappa described electrons and ions

et al. 2016

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We investigate the existence of ion-acoustic shock waves in a five component cometary plasma consisting of positively and negatively charged oxygen ions, kappa described hydrogen ions, hot solar electrons, and slightly colder cometary electrons. The KdVB equation has been derived for the system, and its solution plotted for different kappa values, oxygen ion densities, as well as the temperature ratios for the ions. It is found that the amplitude of the shock wave decreases with increasing kappa values. The strength of the shock profile decreases with increasing temperatures of the positively charged oxygen ions and densities of negatively charged oxygen ions.

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“…Mamun et al [7] have discussed the formation of dust-acoustic (DA) waves, taking into account the effects of vortex-like and nonthermal ions distribution. Wang et al [8], Lin et al [9], Mamun and Shukla [10], have considered nonthermal ions, and negatively charged dust [11][12][13][14][15] and studied the dust-acoustic (DA) solitary and shock waves. A limited number of theoretical investigations has also been made on nonlinear propagation of DA and DL waves in strongly coupled dusty plasma [16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Effects of polarization force and nonthermal ions on dust-acoustic (DA) shock waves in a strongly coupled dusty plasma with positively charged dust

et al. 2014

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Abstract:The nonlinear propagation of the dust-acoustic (DA) waves in a strongly coupled dusty plasma containing Maxwellian electrons, nonthermal ions, and positively charged dust is theoritically investigated by a Burgers equation. The effects of the polarization force (which arises due to the interaction between electrons and highly positively charged dust grains) and nonthermal ions are studied. DA shock waves are found to exist with positive potential only. It represents that the strong correlation among the charged dust grains is a source of dissipation, and is responsible for the formation of DA shock waves. The effects of polarization force and nonthermal ions significantly modified the basic features of DA shock waves in strongly coupled dusty plasma. PACS

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Nonlinear Korteweg–de Vries–Burger equation for ion acoustic shock waves in a weakly relativistic electron-positron-ion plasma with thermal ions

Cited by 30 publications

References 40 publications

Nonlinear waves in second order conformal hydrodynamics

Nonlinear waves in second order conformal hydrodynamics

Korteweg–deVries–Burgers (KdVB) equation in a five component cometary plasma with kappa described electrons and ions

Effects of polarization force and nonthermal ions on dust-acoustic (DA) shock waves in a strongly coupled dusty plasma with positively charged dust

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