Extraordinary electromagnetic localized structures in plasmas: Modulational instability, envelope solitons, and rogue waves

Borhanian, Jafar

doi:10.1016/j.physleta.2014.12.018

Cited by 12 publications

(5 citation statements)

References 44 publications

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“…The RW concept is also extended to other fields of science, such as matter physics, superfluidity, optics, and even economics. 3 There have been various RWs studied, including oceanic RWs, 1,2,4 optical RWs, 5 acoustic RWs, 6,7 capillary RWs, 8 electromagnetic RWs, 9,10 and even financial RWs. 11,12 Several defining properties of RWs can be summarized in three points.…”

Section: Introductionmentioning

confidence: 99%

Recent progress on optical rogue waves in fiber lasers: status, challenges, and perspectives

et al. 2020

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Rogue waves (RWs) are rare, extreme amplitude, localized wave packets, which have received much interest recently in different areas of physics. Fiber lasers with their abundant nonlinear dynamics provide an ideal platform to observe optical RW formation. We review recent research progress on rogue waves in fiber lasers. Basic concepts of RWs and the mechanisms of RW generation in fiber lasers are discussed, along with representative experimental and theoretical results. The measurement methods for RW identification in fiber lasers are presented and analyzed. Finally, prospects for future RW research in fiber lasers are summarized.

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Section: Introductionmentioning

confidence: 99%

Recent progress on optical rogue waves in fiber lasers: status, challenges, and perspectives

et al. 2020

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“…The expansions of {n, u, φ} in Eqs. ( 13)- (15) along with those for the derivatives in Eq. ( 12) and the expansion of the electron distribution in Eq.…”

Section: Application Of the Reductive Perturbation Methodsmentioning

confidence: 99%

“…Recently, its localized solutions (envelope solitons, breathers) have in fact been associated with freak or rogue waves in plasmas [10,11,12,13]. Formally analogous NLS equations focusing on electromagnetic waves in plasmas modeled by fluid-Maxwell equations have been also derived [14,15,16]. In recent years, the kappa distribution of electrons has been used more and more in NLS-reduced plasma fluid models [17,18,19,20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Coupled Nonlinear Schrodinger (CNLS) Equations for two interacting electrostatic wavepackets in a non-Maxwellian fluid plasma model

Lazarides

Kourakis

2023

Preprint

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The nonlinear dynamics of two co-propagating electrostatic wavepackets in a one-dimensional non-magnetized plasma fluid model is considered, from first principles. The coupled waves are characterized by different (carrier) wavenumbers and amplitudes. A plasma consisting of non-thermalized (κ−distributed) electrons evolving against a cold (stationary) ion background is considered. The original model is reduced, by means of a multiple-scale perturbation method, to a pair of coupled nonlinear Schr¨odinger (CNLS) equations for the dynamics of the wavepacket envelopes. For arbitrary wavenumbers, the resulting CNLS equations exhibit no known symmetry and thus intrinsically differ from the Manakov system, in general. Exact analytical expressions have been derived for the dispersion, self-modulation (nonlinearity) and cross-modulation (coupling) coefficients involved in the CNLS equations, as functions of the wavenumbers (k1, k2) and of the spectral index κ characterizing the electron profile. An analytical investigation has thus been carried out of the modulational instability (MI) properties of this pair of wavepackets, focusing on the role of the intrinsic (variable) parameters. Modulational instability is shown to occur in most parts of the parameter space. The instability window(s) and the corresponding growth rate are calculated numerically in a number of case studies. Two-wave interaction favors MI by extending its range of occurrence and by enhancing its growth rate. Growth rate patterns obtained for different κ index (values) suggest that deviation from thermal (Maxwellian) equilibrium, for low κ values, leads to enhances MI of the interacting wave pair. Although we have focused on electrostatic wavepacket propagation in nonthermal (non-Maxwellian) plasma, the results of this study are generic and may be used as basis to model energy localization in nonlinear optics, in hydrodynamics or in dispersive media with Kerr-type nonlinearities where modulational instability is relevant.

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“…Some studies have been made on the electromagnetic solitons in the magnetized plasmas. For example, Borhanian [20] has shown the existence of bright envelope solitons due to the existence of the nonlinear propagation of extraordinary waves in a transversely magnetized cold plasma. It has been shown that the bright soliton broadens when the wave frequency increases from the near critical frequency and its width decreases for larger values of the carrier wave frequency.…”

Section: Literature Reviewmentioning

confidence: 99%

Effect of magnetic field on electromagnetic soliton evolution by different pulses

et al. 2018

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Solitons evolve in a nonlinear and dispersive medium whenever the balance is obtained between the effects of dispersion and nonlinearity. In this work, we study the impact of an external magnetic field on electromagnetic soliton profile in nonrelativistic two-fluid plasma using IMEX scheme. We found that different kinds of perturbing pulses create two solitons of same characteristics, propagating in opposite directions. For the present study, we considered three kinds of perturbing pulses of equal amplitudes but different widths as 0.003, 0.011 and 0.015. The propagation characteristics of the solitons, viz. crest of soliton amplitude, its width and velocity, are evaluated under the impact of an external magnetic field. In addition, we generalize the case by examining different plasma models by selecting different mass and temperature ratios of the ions and the electrons. This is done at the fixed external magnetic field strength of 0.06T and 0.01 T.

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Extraordinary electromagnetic localized structures in plasmas: Modulational instability, envelope solitons, and rogue waves

Cited by 12 publications

References 44 publications

Recent progress on optical rogue waves in fiber lasers: status, challenges, and perspectives

Recent progress on optical rogue waves in fiber lasers: status, challenges, and perspectives

Coupled Nonlinear Schrodinger (CNLS) Equations for two interacting electrostatic wavepackets in a non-Maxwellian fluid plasma model

Effect of magnetic field on electromagnetic soliton evolution by different pulses

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