Three-dimensional dissipative ion-acoustic rogue waves in magnetized plasma with adiabatic ions and nonextensive electrons

A stability analysis is performed for solitary ion-acoustic waves in a magnetized plasma in which the electrons are non-isothermal. Including the effect of ion drift velocity and magnetic perturbation, a three-dimensional mKdV equation is derived for ion-acoustic waves. The solitary-wave solution of this equation is found to have a sech4 profile. A stability analysis of this solitary wave is performed using the small-k perturbation expansion method of Rowlands and Infeld. A condition for the onset of instability is obtained. The growth rate of the instability is found to attain a maximum for perturbations in the plane perpendicular to the direction of propagation of the solitary wave.

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Study of Ion-Acoustic Solitary Waves in a Magnetized Plasma Using the Three-Dimensional Time-Space Fractional Schamel-KdV Equation

Complexity ◽

10.1155/2018/6852548 ◽

2018 ◽

Vol 2018 ◽

pp. 1-17 ◽

Cited By ~ 26

Author(s):

Min Guo ◽

Chen Fu ◽

Yong Zhang ◽

Jianxin Liu ◽

Hongwei Yang

Keyword(s):

Fractional Calculus ◽

Solitary Waves ◽

Kdv Equation ◽

Three Dimensional ◽

Soliton Solutions ◽

Magnetized Plasma ◽

Integer Order ◽

Time Space ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic

The study of ion-acoustic solitary waves in a magnetized plasma has long been considered to be an important research subject and plays an increasingly important role in scientific research. Previous studies have focused on the integer-order models of ion-acoustic solitary waves. With the development of theory and advancement of scientific research, fractional calculus has begun to be considered as a method for the study of physical systems. The study of fractional calculus has opened a new window for understanding the features of ion-acoustic solitary waves and can be a potentially valuable approach for investigations of magnetized plasma. In this paper, based on the basic system of equations for ion-acoustic solitary waves and using multi-scale analysis and the perturbation method, we have obtained a new model called the three-dimensional(3D) Schamel-KdV equation. Then, the integer-order 3D Schamel-KdV equation is transformed into the time-space fractional Schamel-KdV (TSF-Schamel-KdV) equation by using the semi-inverse method and the fractional variational principle. To study the properties of ion-acoustic solitary waves, we discuss the conservation laws of the new time-space fractional equation by applying Lie symmetry analysis and the Riemann-Liouville fractional derivative. Furthermore, the multi-soliton solutions of the 3D TSF-Schamel-KdV equation are derived using the Hirota bilinear method. Finally, with the help of the multi-soliton solutions, we explore the characteristics of motion of ion-acoustic solitary waves.

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The collisions of two ion acoustic solitary waves in a magnetized nonextensive plasma

Open Physics ◽

10.2478/s11534-014-0504-5 ◽

2014 ◽

Vol 12 (11) ◽

Cited By ~ 3

Author(s):

Emad El-Shamy ◽

Mouloud Tribeche ◽

Wael El-Taibany

Keyword(s):

Solitary Waves ◽

Negative Ions ◽

Phase Shifts ◽

Magnetized Plasma ◽

Nonextensive Electrons ◽

Oblique Collision ◽

Multicomponent Plasma ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic ◽

Analytical Phase

AbstractUsing the extended Poincaré-Lighthill-Kuo (EPLK) method, the interaction between two ion acoustic solitary waves (IASWs) in a multicomponent magnetized plasma (including Tsallis nonextensive electrons) has been theoretically investigated. The analytical phase shifts of the two solitary waves after interaction are estimated. The proposed model leads to rarefactive solitons only. The effects of colliding angle, ratio of number densities of (positive/negative) ions species to the density of nonextensive electrons, ion-to-electron temperature ratio, mass ratio of the negative-to-positive ions and the electron nonextensive parameter on the phase shifts are investigated numerically. The present results show that these parameters have strong effects on the phase shifts and trajectories of the two IASWs after collision. Evidently, this model is helpful for interpreting the propagation and the oblique collision of IASWs in magnetized multicomponent plasma experiments and space observations.

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On the development and evolution of nonlinear ion acoustic wave packets

Annales Geophysicae ◽

10.5194/angeo-23-2249-2005 ◽

2005 ◽

Vol 23 (6) ◽

pp. 2249-2257 ◽

Cited By ~ 1

Author(s):

A. M. Hamza

Keyword(s):

Three Dimensional ◽

Point Of View ◽

Magnetized Plasma ◽

Linear Growth Rate ◽

Main Peak ◽

Subtle Difference ◽

Quasilinear Theory ◽

Ion Acoustic Wave ◽

Ion Acoustic ◽

Analytical Point

Abstract. A simple model of ion fluctuations (ion acoustic and ion cyclotron fluctuations for example) driven by an electron current which leads to intermittent fluctuations when the linear growth rate exceeds the wave packet dispersion rate is analized. The normalized fluctuation amplitude eφ0/T can be much larger than the mass ratio (me/mi) level predicted by the conventional quasilinear theory or Manheimer's theory (see references in this document), and where φ0 represents the amplitude of the main peak of the ion fluctuations. Although the ion motion is linear, intermittency is produced by the strong nonlinear electron response, which causes the electron momentum input to the ion fluctuations to be spatially localized. We treat the 1-D case because it is especially simple from an intuitive and analytical point of view, but it is readily apparent and one can put forward the conjecture that the effect occurs in a three dimensional magnetized plasma. The 1-D analysis, as shown in this manuscript will clearly help identify the subtle difference between turbulence as conventionally understood and intermittency as it occurs in space and laboratory plasmas. Keywords. Meteorology and atmospheric dynamics (Turbulence) – Ionosphere (Wave-particles interactions) – Space plasma physics (Waves and instabilities)

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Three-Dimensional Rogue Waves in Earth’s Ionosphere

Galaxies ◽

10.3390/galaxies9030048 ◽

2021 ◽

Vol 9 (3) ◽

pp. 48

Author(s):

Wael F. El-Taibany ◽

Nabila A. El-Bedwehy ◽

Nora A. El-Shafeay ◽

Salah K. El-Labany

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Acoustic Waves ◽

Modulational Instability ◽

Three Dimensional ◽

Negative Ions ◽

Rogue Waves ◽

Physical Parameters ◽

Electrons And Positrons ◽

Ion Acoustic

The modulational instability of ion-acoustic waves (IAWs) in a four-component magneto-plasma system consisting of positive–negative ions fluids and non-Maxwellian (r,q) distributed electrons and positrons, is investigated. The basic system of fluid equations is reduced to a three-dimensional (3D) nonlinear Schrödinger Equation (NLS). The domains of the IAWs stability are determined and are found to be strongly affected by electrons and positrons spectral parameters r and q and temperature ratio Tp/Te (Tp and Te are positrons and electrons temperatures, respectively). The existence domains, where we can observe the ion-acoustic rogue waves (IARWs) are determined. The basic features of IARWs are analyzed numerically against the distribution parameters and the other system physical parameters as Tp/Te and the external magnetic field strength. Moreover, a comparison between the first- and second-order rogue waves solution is presented. Our results show that the nonlinearity of the system increases by increasing the values of the non-Maxwellian parameters and the physical parameters of the system. This means that the system gains more energy by increasing r, q, Tp, and the external magnetic field through the cyclotron frequency ωci. Finally, our theoretical model displays the effect of the non-Maxwellian particles on the MI of the IAWs and RWs and its importance in D–F regions of Earth’s ionosphere through (H+,O2−) and (H+,H−) electronegative plasmas.

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