Ion-acoustic rogue waves in a plasma with a q-nonextensive electron velocity distribution

Bacha, Mustapha; Boukhalfa, Soufiane; Tribeche, Mouloud

doi:10.1007/s10509-012-1129-z

Cited by 32 publications

(10 citation statements)

References 27 publications

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“…Bacha et al [34] analyzed the rogue waves may be notably affected by electron nonextensivity depending on whether the parameter q is positive or negative. In multi-ion plasma rogue wave is examined by Ei-Labany et al [35] they found that within certain negative ion mass the rogue wave cannot propagate and energy concentration in rogue wave pulses largely depends on negative ion mass and density.…”

Section: Here the Normalization Constant Ismentioning

confidence: 99%

Heavy ion-acoustic rogue waves in electron-positron multi-ion plasmas

Chowdhury

Mannan

Hasan

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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The nonlinear propagation of heavy-ion-acoustic (HIA) waves (HIAWs) in a four component multi-ion plasma (containing inertial heavy negative ions and light positive ions, as well as inertialess nonextensive electrons and positrons) has been theoretically investigated. The nonlinear Schrödinger (NLS) equation is derived by employing the reductive perturbation method. It is found that the NLS equation leads to the modulational instability (MI) of HIAWs, and to the formation of HIA rogue waves (HIARWs), which are due to the effects of nonlinearity and dispersion in the propagation of HIAWs. The conditions for MI of HIAWs, and the basic properties of the generated HIARWs are identified. It is observed that the striking features (viz. instability criteria, growth rate of MI, amplitude and width of HIARWs, etc.) of the HIAWs are significantly modified by effects of nonextensivity of electrons and positrons, ratio of light positive ion mass to heavy negative ion mass, ratio of electron number density to light positive ion number density, and ratio of electron temperature to positron temperature, etc. The relevancy of our present investigation to the observations in the space (viz. cometary comae and earth's ionosphere) and laboratory (laser plasma interaction experimental devices) plasmas is pointed out. I. LEAD PARAGRAPHA new electron-positron, multi-ion plasma model has been considered to identify new features (instability criteria, growth rate of MI, amplitude and width, etc.) of heavy ion-acoustic rogue waves. This rogue waves are associated with nonlinear propagation of HIAWs in which the inertia (restoring force) is mainly provided by the heavy negative ions (nonextensive electron and positron temperatures) and are appeared as the solutions of NLS equation (derived here by the reductive perturbation method) in unstable parametric regime. The new striking features of these HIARWs are identified and are found to be applicable in the space and laboratories plasmas. II. INTRODUCTIONOver the last few decades, wave dynamics in electronpositron-ion (e-p-i) plasmas is one of the major research area for the plasma physicists because of painstaking experimental observational evidence in both space (viz. [15]. Similarly positrons can be generated in modern laser plasma experiments when ultra-intense laser pulse interacts with matter [16,17].In case of space and laboratory plasmas, all time particles do not follow Maxwellian distribution (which is a velocity distribution describing the plasma particles in a thermal equilibrium [18][19][20]). Although, a large number of authors considered that plasma components are in thermal equilibrium but due to the some external disturbances (e.g. wave-particle interactions, external force fields present in natural space plasma environments, and turbulence, etc.) their assumption is no longer valid. In space and astrophysical environments, the Maxwellian distribution is no longer exist when the plasma particles move very fast compared to their thermal velocities. Non-extensive generaliza...

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Section: Here the Normalization Constant Ismentioning

confidence: 99%

Heavy ion-acoustic rogue waves in electron-positron multi-ion plasmas

Chowdhury

Mannan

Hasan

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…Since sailors are well known story makers these monster, destructive waves that were in naval folklore perhaps for thousands of years penetrated the realm of science only recently and after quantitative observations [1,2]. Since then, they seem to spring up in many other fields including optics [3][4][5][6][7], BEC and matter waves, finance, etc [8][9][10][11][12]. Unique 2 features of rogue waves, contrary to other solitary waves, are both their extreme magnitude but also their sudden appearance and disappearance.…”

Section: Ocean Rogue Waves (Rw) -Huge Solitary Waves-have For Long Trmentioning

confidence: 99%

Extreme events in complex linear and nonlinear photonic media

Mattheakis

Pitsios

Tsironis

et al. 2016

Chaos, Solitons & Fractals

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Ocean rogue waves (RW) -huge solitary waves-have for long triggered the interest of scientists. RWs emerge in a complex environment and it is still dubious the importance of linear versus nonlinear processes. Recent works have demonstrated thatRWs appear in various other physical systems such as microwaves, nonlinear crystals, cold atoms, etc. In this work we investigate optical wave propagation in strongly scattering random lattices embedded in the bulk of transparent glasses. In the linear regime we observe the appearance of RWs that depend solely on the scattering properties of the medium. Interestingly, the addition of nonlinearity does not modify the RW statistics, while as the nonlinearities are increased multiple-filamentation and intensity clamping destroy the RW statistics. Numerical simulations agree nicely with the experimental findings and altogether prove that optical rogue waves are generated through the linear strong scattering in such complex environments.Ocean rogue or freak waves are huge waves that appear in relatively calm seas in a very unpredictable way. Numerous naval disasters leading to ship disappearance under uncertain conditions have been attributed to these waves. Since sailors are well known story makers these monster, destructive waves that were in naval folklore perhaps for thousands of years penetrated the realm of science only recently and after quantitative observations [1,2]. Since then, they seem to spring up in many other fields including optics [3][4][5][6][7], BEC and matter waves, finance, etc [8][9][10][11][12]. Unique 2 features of rogue waves, contrary to other solitary waves, are both their extreme magnitude but also their sudden appearance and disappearance. In this regard they are more similar to transient breather events than solitons. Since the onset of both necessitates the presence of some form of nonlinearity in the equation of motion describing wave propagation, it has been tacitly assumed that extreme waves are due to nonlinearity. Intuitively, one may link the onset of a rogue wave to a resonant interaction of two or three solitary waves that may appear in the medium. However, large amplitude events may also appear in a purely linear regime [1,2,4,6]; a typical example is the generation of caustic surfaces in wave propagation [13,14].Propagation of electrons or light in a weakly scattering medium is a well-studied classical problem related to Anderson localization and caustic formation. Recent experiments in the optical regime [15] have shown clearly both the theoretically predicted light localization features as well as the localizing role of (focusing) nonlinearity in the propagation [15][16][17][18][19][20]. In these experiments a small (of the order of  10 3 ) random variation of the index of refraction in the propagation leads to eventual localization while at higher powers, where nonlinearity is significant, localization is even stronger. Thus, destructive wave interference due to disorder leads to Anderson localization that may be enhanced by self-...

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“…Rogue wave pattern formation emerges in a complex environment but it is still unclear if their appearance is due to linear or nonlinear processes. Intuitively, one may link the onset of rogue wave pattern formation to a resonant interaction of two or more solitary waves that are present in the medium; it has been tacitly assumed that extreme waves are due to nonlinearity [3,15,16,21,30,36]. However, large amplitude events may also appear in a purely linear regime [4,8,9,18,37]; a typical example is the generation of caustic surfaces in the linear wave propagation as it was discussed in Section 3.…”

Section: Rogue Wave Formation Through Strong Scattering Random Mediamentioning

confidence: 99%

Extreme Waves and Branching Flows in Optical Media

Mattheakis

Tsironis

2015

Quodons in Mica

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We address light propagation properties in complex media consisting of random distributions of lenses that have specific focusing properties. We present both analytical and numerical techniques that can be used to study emergent properties of light organization in these media. As light propagates, it experiences multiple scattering leading to the formation of light bundles in the form of branches; these are random yet occur systematically in the the medium, particularly in the weak scattering limit. On the other hand, in the strong scattering limit we find that coalescence of branches may lead to the formation of extreme waves of the "rogue wave" type. These waves appear at specific locations and arise in the linear as well as in the nonlinear regimes. We present both the weak and strong scattering limit and show that these complex phenomena can be studied numerically and analytically through simple models.

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Ion-acoustic rogue waves in a plasma with a q-nonextensive electron velocity distribution

Cited by 32 publications

References 27 publications

Heavy ion-acoustic rogue waves in electron-positron multi-ion plasmas

Heavy ion-acoustic rogue waves in electron-positron multi-ion plasmas

Extreme events in complex linear and nonlinear photonic media

Extreme Waves and Branching Flows in Optical Media

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