Envelope Solitons versus Solitons

Fedele, R.

doi:10.1238/physica.regular.065a00502

Cited by 137 publications

(159 citation statements)

References 9 publications

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“…Thus, these plasma parameters are significantly controlled the stability conditions of the HIAWs. If P Q < 0, HIAWs are modulationally stable and for the case P Q > 0, HIAWs are modulationally unstable against external perturbations [37][38][39][40] and simultaneously when P Q > 0 and k MI < k c , the growth rate (Γ g ) of MI is given [41] by…”

Section: Stability and Rogue Wavesmentioning

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: Stability and Rogue Wavesmentioning

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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“…When P Q > 0, the DAWs are modulationally unstable against external perturbation (bright envelope solitons exist) and on the other hand when P Q < 0, the DAWs are modulationally stable (dark envelope solitons exist) [28,29,27,31]. simultaneously when P Q > 0 and k M I < k c , the growth rate (Γ g ) of MI is given [30] by…”

Section: MImentioning

confidence: 99%

Rogue waves in space dusty plasmas

2017

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The modulational instability of dust-acoustic (DA) waves (DAWs), and corresponding DA rogue waves (DARWs) in a realistic space dusty plasma system (containing inertial warm positively and negatively charged dust, isothermal ions, and nonthermal kappa distributed electrons) has been theoretically investigated. The nonlinear Schrödinger (NLS) equation is derived by using reductive perturbation method for this investigation. It is observed that the dusty plasma system under consideration supports two modes, namely fast and slow modes, and that both of these two modes can be stable or unstable depending the sign of ratio of the dispersive and nonlinear coefficients. The numerical analysis have shown that the basic features (viz. stability/instabilit, growth rate, amplitude, etc.) of the DAWs associated with the fast mode are significantly modified by superthermal parameter (κ) and other various plasma parameters. The results of our present investigation should be useful for understanding DARWs in space plasma systems, viz. mesosphere and ionospehre.

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“…This modulation instability mechanism is tantamount to the well-known Benjamin-Feir instability in hydrodynamics. Furthermore, the modulation instability is related to the occurrence of localized envelope structures (solitons) of various kinds [37][38][39]. For the unstable wave packet (P Q > 0), it can be shown that the QIA solitary waves propagate as an envelope soliton.…”

Section: Stability/instability Of Planar Envelope Pulsementioning

confidence: 99%

“…The wave amplitude is inversely proportional to |Q|, and the wave width is proportional to |P |. For an extensive list of a number of envelope soliton solutions of the NLSE of the bright or dark (black/grey) type, the reader may consult references [38,39]. We have chosen our physical parameters to be applicable for white dwarfs.…”

Section: Stability/instability Of Planar Envelope Pulsementioning

confidence: 99%

Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma

2009

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Abstract. Ion-acoustic envelope solitary waves in a very dense plasma comprised of the electrons, positrons and ions are investigated. For this purpose, the quantum hydrodynamic model and the Poisson equation are used. A modified nonlinear Schrödinger equation is derived by employing the reductive perturbation method. The effects of the quantum correction and of the positron density on the propagation and stability of the envelope solitary waves are examined. The nonplanar (cylindrical/spherical) geometry gives rise to an instability period. The latter cannot exist for planar case and it affected by the quantum parameters, as well as the positron density. The present investigation is relevant to white dwarfs. PACS. 52.27.Cm Multicomponent and negative-ion plasmas -52.35.Fp Electrostatic waves and oscillations (e.g., ion-acoustic waves) -52.35.Mw Nonlinear phenomena: waves, wave propagation, and other interactions

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Envelope Solitons versus Solitons

Cited by 137 publications

References 9 publications

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

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

Rogue waves in space dusty plasmas

Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma

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