Interaction of magnetoacoustic solitons in plasmas with dispersion effects through electron inertia

Shahida, Parveen; Mahmood, S.; Qamar, Anisa; Hussain, S.; Adnan, Muhammad

doi:10.1002/ctpp.201800009

Cited by 7 publications

(2 citation statements)

References 31 publications

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“…They established that ion cyclotron oscillations prevailed only for high oxygen ion density, while the ion acoustic mode prevailed only for sufficiently low oxygen ion density. Recently, linear and nonlinear low frequency electrostatic ion cyclotron and acoustic waves and their coupling processes have been studied in a magnetized plasma and the results have been utilized to explain the observed electrostatic waves in the solar wind, Earth's magnetosphere and lunar wake plasmas [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear electrostatic waves in the auroral plasma

Singh¹,

Rubia²,

Devanandhan³

et al. 2020

Phys. Scr.

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Nonlinear electrostatic waves in a two-component magnetized plasma comprising of cold ions and suprathermal electrons following κ-distribution have been analyzed. The nonlinear electrostatic waves are considered to be propagating at an oblique direction to the ambient magnetic field. A parametric study of the effect of initial driving electric field amplitude (E0), wave Mach number (M), spectral index (κ), propagation angle (α) and ion drift velocity (δ) on the evolution and the existence domain of nonlinear electric field structures is carried out. The theoretical plasma model is able to generate electrostatic ion cyclotron and ion acoustic waves, with the variation in the initial driving electric field amplitude and Mach number. It is observed that with increase in the driving strength, the electric field structures evolve from sinusoidal to sawtooth to highly spiky bipolar waveforms. The presence of κ–electrons is perceived to reduce the initial driving strength required to generate spiky bipolar electric field structures as compared to Boltzmann-electrons. Further, the period of the waveforms were found to decrease with increase in κ. The electric field amplitude and the phase speed of the bipolar structures predicted by the theoretical model is found to be in the range of observed electric field and speed in auroral region by the FAST satellite.

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Section: Introductionmentioning

confidence: 99%

Nonlinear electrostatic waves in the auroral plasma

Singh¹,

Rubia²,

Devanandhan³

et al. 2020

Phys. Scr.

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“…[24][25][26][27] Another is the face-to-face collision, where is π. [28][29][30][31][32][33][34] In the present work, we focus on the study of the overtaking collision between the oblique isothermal ion-acoustic solitons (OIIASs) in magnetized ultra-relativistic degenerate dense plasmas using Hirota's bilinear method (HBM). Indeed, HBM is an algebraic and adopted technique for building N-soliton (i.e., multisolitons) solutions to integrable non-linear evolution equations such as a Korteweg-de Vries (KdV) equation.…”

Section: Introductionmentioning

confidence: 99%

Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

El-Shamy

Selim

El-Depsy

et al. 2020

Contributions to Plasma Physics

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Overtaking collisions of oblique isothermal ion-acoustic multisolitons are studied in an ultra-relativistic degenerate dense magnetoplasma, containing non-degenerate inertial warm ions and ultra-relativistic degenerate inertialess electrons and positrons. A non-linear Korteweg-de Vries (KdV) equation describing oblique isothermal ion-acoustic solitons (OIIASs) in such a plasma model is derived. By applying Hirota's bilinear method (HBM), the overtaking collisions of oblique isothermal ion-acoustic multisoliton solutions are investigated. An in-depth discussion shows that the amplitude, the width, and the phase shift of isothermal ion-acoustic multisolitons increase as the obliqueness and the chemical potential of electrons increase. The deviation of the trajectories decreases with increasing concentration of fermions and the ion cyclotron frequency. The present finding of this study is applicable in compact objects, such as white dwarfs and neutron stars, having degenerate ultra-relativistic dense electrons and positrons.

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Head-on collision of magnetosonic solitary waves at low latitudes ionosphere plasma

2023

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The dynamics of head-on collision of two magnetosonic solitary waves in ionosphere plasma of the Earth is investigated. A geomagnetic field model standing for the relation between a magnetic field and latitude is used to study nonlinear magnetosonic waves in the ionosphere of Earth. The linear and weakly nonlinear properties of magnetosonic waves are studied by the dispersion relation and the extended Poincaré–Lighthill–Kuo (PLK) method, respectively. Two coupled damped Korteweg–de Vries equations (dKdV) are derived for oppositely propagating magnetosonic solitary waves. The explicit solitary wave solutions are obtained in the weak collision limit, and the trajectories and phase shifts of two magnetosonic solitary waves are derived, which show that collisional dynamics and their phase shifts are dependent on the collision caused by neutral particles and the properties of the ionosphere. This study is applied to investigate the two-counterpropagating magnetosonic solitary waves located in the F2-region of the Earth's ionosphere at low latitude. This study should be beneficial to understand the interaction dynamics of the head-on nonlinear magnetosonic waves located in the F2 layer of the ionosphere when collision effects caused by neutral particles and geomagnetic field distribution are considered.

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Interaction of magnetoacoustic solitons in plasmas with dispersion effects through electron inertia

Cited by 7 publications

References 31 publications

Nonlinear electrostatic waves in the auroral plasma

Nonlinear electrostatic waves in the auroral plasma

Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

Head-on collision of magnetosonic solitary waves at low latitudes ionosphere plasma

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