Impact of electron trapping in degenerate quantum plasma on the ion-acoustic breathers and super freak waves

El-Tantawy, S. A.; Shan, S. Ali; Akhtar, Naseem; Elgendy, Abdelfattah T.

doi:10.1016/j.chaos.2018.04.037

Cited by 34 publications

(16 citation statements)

References 61 publications

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“…Now, let us assume that we have a collisionless and unmagnetized electron-ion quantum plasma consisting of inertialess degenerate trapped electrons which obey the Fermi-Dirac distribution and classical fluid cold positive nondegenerate ion. us, the basic normalized fluid equations that govern the nonlinear dynamics of various structures could be presented as [51,52]…”

Section: Quantum Plasma Oscillationsmentioning

confidence: 99%

On the Approximate Solutions of the Constant Forced (Un)Damping Helmholtz Equation for Arbitrary Initial Conditions

Salas

Alharthi

2021

Mathematical Problems in Engineering

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This paper presents some novel solutions to the family of the Helmholtz equations (including the constant forced undamping Helmholtz equation (equation (1)) and the constant forced damping Helmholtz equation (equation (2))) which have been reported. In the beginning, equation (1) is solved analytically using two different techniques (direct and indirect solutions): in the first technique (direct solution), a new assumption is introduced to find the analytical solution of equation (1) in the form of the Weierstrass elliptic function with arbitrary initial conditions. In the second case (indirect solution), the solution of the undamping (standard) Duffing equation is devoted to determine the analytical solution to equation (1) in the form of Jacobian elliptic function with arbitrary initial conditions. Moreover, equation (2) is solved using a new ansatz and with the help of equation (1) solutions. Also, the evolution equations (equations (1) and (2)) are solved numerically via the Adomian decomposition method (ADM). Furthermore, a comparison between the approximate analytical solution and approximate numerical solutions using the fourth-order Runge–Kutta method (RK4) and ADM is reported. Furthermore, the maximum distance error for the obtained solutions is estimated. As a practical application, the Helmholtz-type equation will be derived from the fluid governing equations of quantum plasma particles with(out) taking the ionic kinematic viscosity into account for investigating the characteristics of (un)damping oscillations in a degenerate quantum plasma model.

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Section: Quantum Plasma Oscillationsmentioning

confidence: 99%

On the Approximate Solutions of the Constant Forced (Un)Damping Helmholtz Equation for Arbitrary Initial Conditions

Salas

Alharthi

2021

Mathematical Problems in Engineering

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“…We adopt the adiabatic trapped degenerate for electrons. Thus, the normalized electron number density is given by [1,[42][43][44]]…”

Section: Theoretical Formulationmentioning

confidence: 99%

“…In the present study, we have investigated the propagation of solitary structures and its quasiperiodic motion in an unmagnetized complex plasma involving adiabatic trapped electrons and warm ions in the presence of an external periodic force and it has been found that although the first one has solitary wave, the second one has the quasiperiodic motion. This media may be found in the space environments where trapped populations of electrons [1,[42][43][44] have been observed.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation analysis of ion-acoustic waves in an adiabatic trapped electron and warm ion plasma

Abdikian

Saha

Alimirzaei

2020

Journal of Taibah University for Science

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Bifurcation analysis of ion-acoustic waves in complex plasmas in the presence of adiabatic trapped electrons and warm ions is studied. Using bifurcation theory of dynamical structure, the Hamiltonian system inculpated electrostatic potential is derived. Effects of physical parameters, such as T and σ i , are shown on the analytical solitary wave solution. The numerical results show that parameters T and σ i affect significantly on nonlinear electrostatic solitary waves. By adding an external periodic perturbation to unperturbed Hamiltonian system, we investigate quasiperiodic structure of the perturbed Hamiltonian system.

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“…A number of studies have witnessed the influence of trapped electrons in the regimes of laboratory and space plasmas [22][23][24][25][26]. Solitary and breather waves in a plasma system, including classical ions and degenerate trapped electrons, were studied using the reductive perturbation approach and the nonlinear Schrödinger equation [24].…”

Section: Introductionmentioning

confidence: 99%

Ion Acoustic Shocks in a Weakly Relativistic Ion-Beam Degenerate Magnetoplasma

Kaur

Saini

2021

Galaxies

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A theoretical investigation is carried out to study the propagation properties of ion acoustic shocks in a plasma comprising of positive inertial ions, weakly relativistic ion beam and trapped electrons in the presence of a quantizing magnetic field. By using the reductive perturbation technique, the Korteweg–de Vries-Burgers (KdVB) equation and oscillatory shocks solution are derived. The characteristics of such kinds of shock waves are examined and discussed in detail under suitable conditions for different physical parameters. The strength of the magnetic field, ion beam concentration and ion-beam streaming velocity have a great influence on the amplitude and width of the shock waves and oscillatory shocks. The results may be useful to study the characteristics of ion acoustic shock waves in dense astrophysical regions such as neutron stars.

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Impact of electron trapping in degenerate quantum plasma on the ion-acoustic breathers and super freak waves

Cited by 34 publications

References 61 publications

On the Approximate Solutions of the Constant Forced (Un)Damping Helmholtz Equation for Arbitrary Initial Conditions

On the Approximate Solutions of the Constant Forced (Un)Damping Helmholtz Equation for Arbitrary Initial Conditions

Bifurcation analysis of ion-acoustic waves in an adiabatic trapped electron and warm ion plasma

Ion Acoustic Shocks in a Weakly Relativistic Ion-Beam Degenerate Magnetoplasma

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