Effect of magnetic field on electromagnetic soliton evolution by different pulses

Sharma, Aparna; Malik, Hitendra K.; Kumar, Harish; Goyal, Sanjeev

doi:10.1007/s40094-018-0306-z

Cited by 4 publications

(5 citation statements)

References 31 publications

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“…Solitons may be produced in the context of the electrical domain, both at the macro-, meso-and micro-levels of observation. The occurrence of electrostatic solitons is ubiquitous in macroscopic contexts such as two-fluid astrophysical plasmas, planetary magnetospheres and lunar wakes [3]. In solar wind, the interplanetary magnetic fields provide favorable conditions for solitons formation [36].…”

Section: Solitons In the Electrical Domain And In Eeg Spikesmentioning

confidence: 99%

“…Solitons are single, spatially localized waves that travel without changing their shape and size [1]. Due to a delicate balance between dissipative effects and nonlinear dynamics, solitons are coherent structures propagating in space and time at a constant velocity without attenuation, distortion, or energy loss [2,3]. At least in an idealized framework, the stability and stationarity of soliton's analytical solutions are confirmed against non-integrable perturbations [4] (Ye et al, 2020) so that frictional effects like viscosity do not cause solitons to decay over time [5].…”

Section: Introductionmentioning

confidence: 99%

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Approaching Electroencephalographic Pathological Spikes in Terms of Solitons

Tozzi

2024

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A delicate balance between dissipative and nonlinear forces allows traveling waves termed solitons to preserve their shape and energy for long distances without steepening and flattening out. Solitons are so widespread that they can generate both destructive waves on oceans’ surfaces and noise-free message propagation in silica optic fibers. They are naturally observed or artificially produced in countless physical systems at very different coarse-grained scales, from solar winds to Bose–Einstein condensates. We hypothesize that some of the electric oscillations detectable by scalp electroencephalography (EEG) could be assessed in terms of solitons. A nervous spike must fulfill strict mathematical and physical requirements to be termed a soliton. They include the proper physical parameters like wave height, horizontal distance and unchanging shape; the appropriate nonlinear wave equations’ solutions and the correct superposition between sinusoidal and non-sinusoidal waves. After a thorough analytical comparison with the EEG traces available in the literature, we argue that solitons bear striking similarities with the electric activity recorded from medical conditions like epilepsies and encephalopathies. Emerging from the noisy background of the normal electric activity, high-amplitude, low-frequency EEG soliton-like pathological waves with relatively uniform morphology and duration can be observed, characterized by repeated, stereotyped patterns propagating on the hemispheric surface of the brain over relatively large distances. Apart from the implications for the study of cognitive activities in the healthy brain, the theoretical possibility to treat pathological brain oscillations in terms of solitons has powerful operational implications, suggesting new therapeutical options to counteract their detrimental effects.

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Section: Solitons In the Electrical Domain And In Eeg Spikesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Approaching Electroencephalographic Pathological Spikes in Terms of Solitons

Tozzi

2024

Signals

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“…[52,53] In recent decades, relativistic EM solitary waves have been widely studied. [16,34,35,[54][55][56][57][58][59][60][61][62][63][64][65][66][67][68] Theoretically, the existences and characteristics of different types of solitary wave in plasmas have attracted attention. [16,34,35,[54][55][56][57][58][59] The one-dimension (1D) relativistic standing solitary waves in unmagnetized plasmas at arbitrary temperatures were investigated in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…[59] With the development of computing technology, the simulation of a system of several partial differential equations can be performed, for example, the fluid simulation. The fluid simulation can be used to solve some problems that are difficult or cannot be dealt with in theory, such as the instability, [61,63] the generation [66][67][68] of solitary waves and the interaction [64,65] between them. For the instability of EM solitary waves, some works have been carried out theoretically by numerical simulation of wave equation before using fluid simulation.…”

Section: Introductionmentioning

confidence: 99%

Propagation dynamics of relativistic electromagnetic solitary wave as well as modulational instability in plasmas*

Tang¹,

Liu²,

Hong³

et al. 2021

Chinese Phys. B

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By one-dimensional particle-in-cell (PIC) simulations, the propagation and stability of relativistic electromagnetic (EM) solitary waves as well as modulational instability of plane EM waves are studied in uniform cold electron-ion plasmas. The investigation not only confirms the solitary wave motion characteristics and modulational instability theory, but more importantly, gives the following findings. For a simulation with the plasma density 1023 m−3 and the dimensionless vector potential amplitude 0.18, it is found that the EM solitary wave can stably propagate when the carrier wave frequency is smaller than 3.83 times of the plasma frequency. While for the carrier wave frequency larger than that, it can excite a very weak Langmuir oscillation, which is an order of magnitude smaller than the transverse electron momentum and may in turn modulate the EM solitary wave and cause the modulational instability, so that the solitary wave begins to deform after a long enough distance propagation. The stable propagation distance before an obvious observation of instability increases (decreases) with the increase of the carrier wave frequency (vector potential amplitude). The study on the plane EM wave shows that a modulational instability may occur and its wavenumber is approximately equal to the modulational wavenumber by Langmuir oscillation and is independent of the carrier wave frequency and the vector potential amplitude. This reveals the role of the Langmuir oscillation excitation in the inducement of modulational instability and also proves the modulational instability of EM solitary wave.

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“…Shock waves have been studied in unmagnetized plasma with two-temperature ions in the magnetotail of earth by neglecting its magnetic effect [30]. The effect of magnetic field on solitons has been studied by Sharma et al, but they have considered only two-fluid plasma [31].…”

Section: Introductionmentioning

confidence: 99%

Small amplitude dust acoustic solitary wave in magnetized two ion temperature plasma

Malik

Kumar

Singh

2020

Journal of Taibah University for Science

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The characteristics of obliquely propagating dust acoustic solitary wave in magnetized dusty plasma are analysed by considering the plasma to have electrons, two-temperature ions and massive dust grains with heavy charge. The reductive perturbation technique is used to derive relevant Korteweg-deVries (KdV) equation. The effect of density and temperature of hot and cold ions, angle of wave propagation, and mass, charge and temperature of the dust grains on the soliton characteristic is investigated in greater detail. The situation of electron-depleted plasma is also uncovered.

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Effect of magnetic field on electromagnetic soliton evolution by different pulses

Cited by 4 publications

References 31 publications

Approaching Electroencephalographic Pathological Spikes in Terms of Solitons

Approaching Electroencephalographic Pathological Spikes in Terms of Solitons

Propagation dynamics of relativistic electromagnetic solitary wave as well as modulational instability in plasmas*

Small amplitude dust acoustic solitary wave in magnetized two ion temperature plasma

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