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

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 \(\kappa\)-distributed electrons, and inertial warm positive ions and negative dust grai...

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Bibliographic Details
Published in:arXiv.org 2021-03
Main Authors: Sharmin, B E, Shikha, R K, Tamanna, N K, Chowdhury, N A, Mannan, A, Mamun, A A
Format: Article
Language:English
Subjects:
Acoustic waves
Comet tails
Cometary magnetospheres
Dust
Dusty plasmas
Earth magnetosphere
Mesosphere
Perturbation methods
Planetary magnetospheres
Plasma
Positive ions
Saturn rings
Thermal plasmas
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Summary: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 \(\kappa\)-distributed electrons, and inertial warm positive ions and negative dust grains. The novel nonlinear Schr\"{o}dinger equation (NLSE) has been derived by employing the 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).
ISSN:2331-8422