Dark soliton collisions and method of lines approach for modeling freak waves in a positron beam plasma having superthermal electrons

El-Tantawy, S. A.; Alshehri, Mansoor H.; Duraihem, Faisal Z.; El‐Sherif, L. S.

doi:10.1016/j.rinp.2020.103452

Cited by 26 publications

(10 citation statements)

References 66 publications

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“…In the κ → ∞ limit, Maxwellian distribution is retrieved and ϑ th → ν . Integrating the aforementioned function in equation (4) over the velocity space, the following expression for superthermal electron density is obtained 36 …”

Section: Theoretical Modelmentioning

confidence: 99%

Overtaking interaction of electron-acoustic solitons in Saturn’s magnetosphere

Khattak

Masood

Jahangir

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

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The progression of nonlinear electron-acoustic waves (EAWs) in a magnetized and collision-free plasma made up of cold inertial electrons, inertialess superthermal electrons, and stationary background ions with special reference to Saturn’s magnetosphere (SMS) is explored. The method of reductive perturbation (MRP) is employed to obtain the evolution equation (i.e., Zakharov– Kuznetsov equation (ZKE)) that governs the propagation of electron acoustic solitons (EASs). Using the elegant and efficient Hirota bilinear method (HBM), multi-soliton solutions (MSSs) of the ZKE are determined. The impact of the effects of hot-to-cold electron density ratio, magnetic field (MF) strength, and superthermality on single as well as the interaction of EASs is examined. Estimates of the values of the electric field at several radii of SMS (i.e., 12 R s − 17.8 R s, where R s is the radius of Saturn) are presented, which are found in μV/ m to mV/ m range and are in perfect agreement with the data from Cassini radio and plasma wave science wideband receiver. Moreover, the influence of the relevant plasma parameters on the interaction time and spatial extent of the interacting EASs is also explored.

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Section: Theoretical Modelmentioning

confidence: 99%

Overtaking interaction of electron-acoustic solitons in Saturn’s magnetosphere

Khattak

Masood

Jahangir

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

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“…As well-known, the DEs [23][24][25][26][27][28][29][30] can be described several obscurity physical linear and nonlinear phenomena in various fields of theoretical and applied science as well as in some engineering problems. In this paper, we will focus our attention to derive and obtain an analytical solution to the following damped and nonlinear Helmholtz oscillator equation…”

Section: [ ()] ()mentioning

confidence: 99%

A new approach for modelling the damped Helmholtz oscillator: applications to plasma physics and electronic circuits

El-Tantawy¹,

Salas²,

Alharthi³

2021

Commun. Theor. Phys.

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In this paper, a new approach is devoted to find novel analytical and approximate solutions to the damped quadratic nonlinear Helmholtz equation (HE) in terms of the Weiersrtrass elliptic function. The exact solution for undamped HE (integrable case) and approximate/semi-analytical solution to the damped HE (non-integrable case) are given for any arbitrary initial conditions. As a special case, the necessary and sufficient condition for the integrability of the damped HE using an elementary approach is reported. In general, a new ansatz is suggested to find a semi-analytical solution to the non-integrable case in the form of Weierstrass elliptic function. In addition, the relation between the Weierstrass and Jacobian elliptic functions solutions to the integrable case will be derived in details. Also, we will make a comparison between the semi-analytical solution and the approximate numerical solutions via using Runge–Kutta fourth-order method, finite difference method, and homotopy perturbation method for the first-two approximations. Furthermore, the maximum distance errors between the approximate/semi-analytical solution and the approximate numerical solutions will be estimated. As real applications, the obtained solutions will be devoted to describe the characteristics behavior of the oscillations in RLC series circuits and in various plasma models such as electronegative complex plasma model.

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“…These solutions are classified as bright-, dark-or gray-envelope soliton solutions. The bright-envelope solitons are primarily envelope pulses surrounding a fast carrier wave whereas dark-and gray-envelope solitons are propagating holes which admit a uniform oscillatory background [25]. Recently, the existence of these waves is studied theoretically and experimentally in plasmas [26].…”

Section: Introductionmentioning

confidence: 99%

Coexisting wave features and various nonlinear waves for Schrödinger equation in superthermal dusty plasma

et al. 2022

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Coexistence of dust-acoustic wave (DAW) features and their properties are studied in a four-component dusty plasma constituting superthermal plasma particles in the framework of nonlinear Schrodinger equation (NLSE). Dynamical behaviors of the system are first explored by phase portraits and then the solutions corresponding to phase trajectories are explained analytically as well as numerically with physical perceptions. Introducing a periodic force, the system is analyzed for the existence of multi-periodic, quasiperiodic, and chaotic motions. Results of this work can be useful to understand the wave phenomena in the interstellar medium where superthermally distributed plasma particles are recognized.

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Dark soliton collisions and method of lines approach for modeling freak waves in a positron beam plasma having superthermal electrons

Cited by 26 publications

References 66 publications

Overtaking interaction of electron-acoustic solitons in Saturn’s magnetosphere

Overtaking interaction of electron-acoustic solitons in Saturn’s magnetosphere

A new approach for modelling the damped Helmholtz oscillator: applications to plasma physics and electronic circuits

Coexisting wave features and various nonlinear waves for Schrödinger equation in superthermal dusty plasma

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