Damped electrostatic ion acoustic solitary wave structures in quantum plasmas with Bohm potential and spin effects

Hussain, S.; Hasnain, H.; Haseeb, Mahnaz Q.

doi:10.1088/1674-1056/28/1/015202

Cited by 7 publications

(3 citation statements)

References 27 publications

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“…Since Pines and Robert [1] studied the properties of plasmons in low temperature and high density quantum plasmas in 1961, the practical application of plasma physics has attracted extensive attention and great interest of scientists. With the development of research on micro semiconductor devices, the quantum effect and boundary effect of plasmas [2] have attracted a great deal of attention from scientists. Quantum plasma has been widely used in different environments, such as ultra-small electronic equipment and microstructure systems, high-density astrophysical systems, high-density laser plasmas, nonlinear quantum optics and dust plasmas (Refs.…”

Section: Introductionmentioning

confidence: 99%

The (3+1)-dimensional generalized mKdV-ZK equation for ion-acoustic waves in quantum plasmas as well as its non-resonant multiwave solution*

Cheng¹,

Zhang²,

Yang³

2020

Chinese Phys. B

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The quantum hydrodynamic model for ion-acoustic waves in plasmas is studied. First, we design a new disturbance expansion to describe the ion fluid velocity and electric field potential. It should be emphasized that the piecewise function perturbation form is new with great difference from the previous perturbation. Then, based on the piecewise function perturbation, a (3+1)-dimensional generalized modified Korteweg–de Vries Zakharov–Kuznetsov (mKdV-ZK) equation is derived for the first time, which is an extended form of the classical mKdV equation and the ZK equation. The (3+1)-dimensional generalized time-space fractional mKdV-ZK equation is constructed using the semi-inverse method and the fractional variational principle. Obviously, it is more accurate to depict some complex plasma processes and phenomena. Further, the conservation laws of the generalized time-space fractional mKdV-ZK equation are discussed. Finally, using the multi-exponential function method, the non-resonant multiwave solutions are constructed, and the characteristics of ion-acoustic waves are well described.

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Section: Introductionmentioning

confidence: 99%

The (3+1)-dimensional generalized mKdV-ZK equation for ion-acoustic waves in quantum plasmas as well as its non-resonant multiwave solution*

Cheng¹,

Zhang²,

Yang³

2020

Chinese Phys. B

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“…Many researchers have studied plasma waves by taking into account the collisional phenomena between plasma species and neutrals as well [21][22][23]. For example, Haas and Bret [24] investigated Buneman instability in quantum collisional plasmas and showed that due to this instability, density oscillations are excited.…”

Section: Introductionmentioning

confidence: 99%

The influence of Landau quantization on the propagation of solitary structures in collisional plasmas

Hussain¹,

Akhtar²

2020

Commun. Theor. Phys.

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In this work, we study damped ion acoustic solitary wave structures in magnetized dense plasmas. The collisional effects of ions with electrons and neutrals are considered. The trapping effects of electrons and Landau quantization are included in the plasma model under consideration. We assume that magnetic field is quantized such that the condition is satisfied. We have derived the damped Korteweg–de Vries (dKdV) equation by using small amplitude reductive perturbation technique. The time-dependent analytical and numerical solutions of the dKdV equation are presented. For numerical solutions we apply a two level finite difference scheme with the help of the Runge Kutta method. The effects of variations of different plasma parameters on the propagation characteristics of damped solitary structures in the presence of collisions are discussed.

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“…Scientists gave a great interest to the study and analysis of the nonlinear dynamics of Ion Acoustic Solitons (IASs) in magnetized plasmas [22][23][24][25] and a special interest for the unstable relativistic and ultrarelativistic degeneracy state [26][27][28][29] . The importance of such a field is to understand the role of degeneracy when combined with relativistic or ultrarelativistic speeds.…”

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confidence: 99%

Oblique collision of ion acoustic solitons in a relativistic degenerate plasma

El‐Labany

El-Taibany

Behery

et al. 2020

Sci Rep

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The interaction (oblique collision) of two ion acoustic solitons (IASs) in a magnetized relativistic degenerate plasma with relativistic degenerate electrons and non-degenerate cold ions is studied. The extended Poincaré–Lighthill–Kuo (PLK) method is used to obtain two Korteweg deVries (KdV) wave equations that describe the interacting IASs, then the phase shifts due to interaction are calculated. We studied influence of the fluid number density on the interaction process, interacting solitons phase shifts and also phase velocities. The introduced model is valid for astrophysical objects with high density matter such as white dwarfs, neutron stars, degenerate electrons gas in metals and laboratory degenerate plasma. An inverse proportionality between the phase shifts, phase velocity and the equilibrium electron fluid number density $$n_{eo}$$ n eo was established in the range $$10^{35}\,{\text {m}}^{-3}>n_{eo}>10^{38}\,{\text {m}}^{-3}$$ 10 35 m - 3 > n eo > 10 38 m - 3 . We found that the soliton waves get sharper (narrower) and higher with increasing the electrons fluid number density $$n_{eo}$$ n eo , and hence less spacial occupying. The phase shifts and the phase velocity remain approximately unchanged in the range of $$10^{35}\,{\text {m}}^{-3}<n_{eo}<10^{38}\,{\text {m}}^{-3}$$ 10 35 m - 3 < n eo < 10 38 m - 3 . The impact of the obliqueness angle $$\theta $$ θ on the soliton interaction process is also studied.

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Damped electrostatic ion acoustic solitary wave structures in quantum plasmas with Bohm potential and spin effects

Cited by 7 publications

References 27 publications

The (3+1)-dimensional generalized mKdV-ZK equation for ion-acoustic waves in quantum plasmas as well as its non-resonant multiwave solution*

The (3+1)-dimensional generalized mKdV-ZK equation for ion-acoustic waves in quantum plasmas as well as its non-resonant multiwave solution*

The influence of Landau quantization on the propagation of solitary structures in collisional plasmas

Oblique collision of ion acoustic solitons in a relativistic degenerate plasma

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