Dust ion acoustic rogue waves in superthermal warm ion plasma

Saini, N. S.

doi:10.1017/s0022377815000082

Cited by 32 publications

(4 citation statements)

References 65 publications

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“…Abdelsalam [58] studied the nonlinear propagation of solitary and freak waves in a superthermal plasma with positive and negative ions, ion beam and stationary dust particles. More recently, Shalini and Saini [61] have considered the propagation of DIA rogue waves in superthermal plasmas and investigated the combined effects of superthermality and dust concentration on the characteristics of DIA rogue waves.…”

Section: Introductionmentioning

confidence: 99%

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

2015

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We study the amplitude modulation of ion-acoustic wave (IAW) packets in an unmagnetized electron-ion plasma with two-temperature (cool and hot) electrons in the context of the Tsallis' nonextensive statistics. Using the multiple-scale technique, a nonlinear Schrödinger (NLS) equation is derived which governs the dynamics of modulated wave packets. It is shown that in nonextensive plasmas, the IAW envelope is always stable for long-wavelength modes (k → 0) and unstable for short-wavelengths with k > ∼ 1. However, the envelope can be unstable at an intermediate scale of perturbations with 0 < k < 1. Thus, the modulated IAW packets can propagate in the form of bright envelope solitons or rogons (at small-and medium scale perturbations) as well as dark envelope solitons (at large scale). The stable and unstable regions are obtained for different values of temperature and density ratios as well as the nonextensive parameters qc and q h for cool and hot electrons. It is found that the more (less) the population of superthermal cool (hot) electrons, the smaller is the growth rate of instability with cutoffs at smaller wave numbers of modulation.

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Section: Introductionmentioning

confidence: 99%

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

2015

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“…2005; Paul et al. 2006; Shalini & Saini 2015). It is indeed questionable to treat the heavy ions as Boltzmanian particles in the analyses, as is common practice.…”

Section: Introductionmentioning

confidence: 99%

Atypical gravito-electrostatic fluctuations in the presence of active ion-inertial dynamics

2016

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The plasmas in space, cosmic and astrophysical environments are long known to consist of numerous massive ionic components contributing to various wave instability fluctuation phenomena. Indeed, the ion-inertial effects need to be incorporated into realistic analyses, rather than treating the gravitating ionic species traditionally as a Boltzmann distributed fluid. Herein, we present an atypical theoretical model setup to study gravito-electrostatic mode-fluctuations in self-gravitating inhomogeneous interstellar dust molecular clouds (DMCs) on the astrophysical fluid scales of space and time. The main goal is focused on investigating the influence of self-consistent dynamic ion-inertial effects on the stability. Methodological application of standard multiple scaling techniques reduces the basic plasma structure equations into a unique pair of decoupled Korteweg–de Vries (KdV) equations for the weak fluctuations. In contrast, the fully nonlinear counterparts are shown to evolve as a new gravito-electrostatically coupled pair of the Sagdeev energy-integral equations. In both the perturbation regimes, excitation of two distinct eigenmode classes – electrostatic compressive solitons and self-gravitational rarefactive solitons with unusual and unique parametric features – is demonstrated and portrayed. The graphical shape analysis reflects new plasma conditions for such eigenspectral patterns to coevolve in realistic interstellar parameter windows hitherto remaining unexplored. It is seen that the inertial ions play a destabilizing influential role leading to enhanced fluctuations toward establishing a reorganized gravito-electrostatic equilibrium structure. Finally, we discuss the consistency of our results in the framework of existing inertialess ion theories, experimental findings and multiple space satellite-based observations, together with new implications.

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“…The nonlinear Schrödinger equation (NLSE) is considered as one of the most useful equations for describing the modulational instability (MI) conditions of different kinds of waves and associated energy re-localization [25,26,27]. Rogue waves (RWs), which are the rational solution of the NLSE [25,26,27], can be observed in super-fluid helium [28], stock-market crashes [29], optics [30,31], and plasma [32,33,34,35]. Kourakis and Shukla [33] studied the MI and localized excitations of DIA Waves (DIAWs).…”

Section: Introductionmentioning

confidence: 99%

“…Kourakis and Shukla [33] studied the MI and localized excitations of DIA Waves (DIAWs). Javidan and Pakzad [34] considered a three-component plasma system having cold inertial ions, super-thermal κ-distributed electrons, and immobile negative dust grains, and studied the MI of DIAWs by using NLSE, and found that the critical wave number for which the DIAWs becomes modulationally unstable decreases with κ. Shalini and Saini [35] investigated on DIA RWs (DIARWs) in a three-component plasma containing inertial warm ion, inertialess κ-distributed electrons, and stationary dust grains, and highlighted that the amplitude of the DIARWs increases with increasing κ. To the best knowledge of the authors, no attempt has been made to study the MI of the DIAWs and associted DI-ARWs in a three-component plasma having inertial warm positive ion and negative dust grain, and inertialess κ-distributed electrons.…”

Section: Introductionmentioning

confidence: 99%

Modulational instability of dust-ion-acoustic waves and associated first and second-order rogue waves in super-thermal plasma

Sharmin¹,

Shikha²,

Tamanna³

et al. 2021

Preprint

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A proper theoretical research has been carried out to explore the modulational instability (MI) conditions of dust-ion-acoustic (DIA) waves (DIAWs) in a three-component dusty plasma system containing inertialess κ-distributed electrons, and inertial warm positive ions and negative dust grains. The novel nonlinear Schrödinger equation (NLSE) has been derived by employing reductive perturbation method. The analysis under consideration demonstrates two types of modes, namely, fast and slow DIA modes. The dispersion and nonlinear properties of the plasma medium as well as the MI conditions of DIAWs and the configuration of the energetic rogue waves (RWs) associated with DIAWs in the Modulationally unstable regime have been rigorously changed by the plasma parameters, namely, charge, mass, temperature, and number density of the plasma species. The findings of our investigation will be useful in understanding the criteria for the formation of electrostatic RWs in both astrophysical environments (viz., Jupiter's magnetosphere, cometary tails, Earth's mesosphere, Saturn's rings, etc.) and laboratory experiments (viz., Q-machines and Coulomb-crystal).

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Dust ion acoustic rogue waves in superthermal warm ion plasma

Cited by 32 publications

References 65 publications

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

Atypical gravito-electrostatic fluctuations in the presence of active ion-inertial dynamics

Modulational instability of dust-ion-acoustic waves and associated first and second-order rogue waves in super-thermal plasma

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