Higher order corrections and temperature effects to ion acoustic shock waves in quantum degenerate electron-ion plasma

El-Monier, S. Y.; Atteya, A.

doi:10.1016/j.cjph.2019.06.010

Cited by 33 publications

(7 citation statements)

References 36 publications

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“…For our numerical analysis, we have considered the range of the plasma parameters as Z l = 6 ∼ 13, Z h = 35 ∼ 65, n l0 = 3 × 10 30 cm −3 ∼ 7 × 10 30 cm −3 , n h0 = 4 × 10 29 cm −3 ∼ 07 × 10 33 cm −3 , and n p0 = 1 × 10 31 cm −3 ∼ 10 × 10 31 cm −3 . A number of authors considered inertial non-relativistic ion(s) [14,16,40,[44][45][46][47][48][49][50][51] and inertialess non-relativistic and/or ultra-relativistic [14][15][16]28,40,[44][45][46][47][48][49][50][51][52][53] electrons and positrons to investigate electrostatic [14][15][16]28,40,[44][45][46][47][48][49][51][52][53] or gravito-acoustic [50] waves in DQP, especially in white dwarfs and neutron stars.…”

Section: Resultsmentioning

confidence: 99%

Obliquely propagating ion‐acoustic shock waves in a degenerate quantum plasma

Islam

Biswas

Chowdhury

et al. 2021

Contributions to Plasma Physics

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A theoretical investigation has been carried out on the propagation of non-linear ion-acoustic shock waves (IASHWs) in a magnetized degenerate quantum plasma system composed of inertial non-relativistic positively charged light and heavy ions, inertialess non-relativistically or ultra-relativistically degenerate electrons and positrons. The reductive perturbation method has been employed to derive the Burgers' equation. It has been observed that under consideration, our plasma model supports only positive potential shock structure. It is also found that the amplitude and steepness of the IASHWs have been significantly modified by the variation of ion kinematic viscosity, oblique angle, number density, and charge state of the plasma species. The results of our present investigation will be helpful for understanding the propagation of IASHWs in white dwarfs and neutron stars.

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Section: Resultsmentioning

confidence: 99%

Obliquely propagating ion‐acoustic shock waves in a degenerate quantum plasma

Islam

Biswas

Chowdhury

et al. 2021

Contributions to Plasma Physics

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“…They took the aid of Abel's theorem and the variation of parameter method to analyze such equations. In the last decade, a lot of researchers conducted several analytical investigations on the higher-order effect in changing the behavior of shock waves [32][33][34][35][36] and other nonlinear waves [37][38][39]. El-Labany et al [32], El-Monier et al [33], and Hossen et al [34] investigated DIA shock structures in dense plasmas.…”

Section: Introductionmentioning

confidence: 99%

The higher-order nonlinearity and parametric effects on dust-ion-acoustic shock waves

Salam¹,

Matkan²,

Ali³

et al. 2022

Phys. Scr.

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In the case of obliquely propagated small-amplitude shock waves, in this study, we investigate the impacts of higher order nonlinearity, dust concentrations, viscosity, trapping parameter, etc., on the shock wave structures. The considered magnetized plasma system consists of three components, such as inertial positive ions (mobile), trapped electrons, and immobile negatively charged dust particles. The modified Burger equation (MBE) as well as a linear inhomogeneous equation with dominating dissipative term (in which viscous effect is significant), are derived to observe the variations in shock wave profiles. From the theoretical investigation, we observe that the higher-order nonlinearity has pronouncing effect on the shock amplitude. Furthermore, the viscosity (dust concentration) increases the shock width (the phase speed). Several mathematical techniques, such as the reductive perturbation method, the Abel’s theorem, the method of variation of parameters have been used as the supportive tools.

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“…Many authors have emphasized the importance and significance of higher-order corrections/effects in studying the various nonlinear structures in different plasma environments [17,18]. To determine how higher-order nonlinear dispersion and dissipation terms affect the higher-order KdV-type/Burgers-type equation, a variety of investigations have been conducted [19,20].…”

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confidence: 99%

“…By using single variable transformation, ς = ξ − Uτ in eq. ( 15), the stationary localized shock solution is obtained as [7,26]…”

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confidence: 99%

Higher-order shock wave structures and phase plane analysis in multicomponent dusty plasma

Kaur

Slathia²,

Saini³

2023

EPL

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In this investigation, dust acoustic (DA) shocks and dressed shocks formed due to the contribution of higher-order effects in a non-Maxwellian plasma has been examined. The reductive perturbation method is employed to derive the nonlinear Burgers and Burgers-type inhomogeneous equations with the contribution of higher-order effects of nonlinearity and dissipation. The properties of dust acoustic shocks and higher order (dressed shocks) are examined from the solutions of these nonlinear equations under the effect of various plasma parameters. Furthermore, the travelling wave analysis is used to obtain the dynamical system for the Burgers equation using bifurcation theory. The characteristic properties of DA periodic waves have also been analysed under the influence of various plasma parameters.

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Higher order corrections and temperature effects to ion acoustic shock waves in quantum degenerate electron-ion plasma

Cited by 33 publications

References 36 publications

Obliquely propagating ion‐acoustic shock waves in a degenerate quantum plasma

Obliquely propagating ion‐acoustic shock waves in a degenerate quantum plasma

The higher-order nonlinearity and parametric effects on dust-ion-acoustic shock waves

Higher-order shock wave structures and phase plane analysis in multicomponent dusty plasma

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