Nonlinear dust acoustic waves in a self-gravitating and opposite-polarity complex plasma medium

Dust-acoustic (DA) solitary and periodic waves investigations were performed in a magnetized self-gravitating dusty plasma consisting of negatively and positively charged dust grains in the presence of inertialess ions and electrons. The Korteweg–de Vries–Burger (KdVB) equation has been derived. The numerical investigations revealed the compressive or rarefactive DA solitons depending on the plasma parameters. The nonlinear homoclinic and periodic trajectories from the KdVB equation were obtained for the phase portrait profiles when employing the phase plane theory of dynamical systems. The periodic wave solution depends also on the system parameters. The present results are considered to be beneficial in understanding the nonlinear structures in experimental devices and different astrophysical environments such as the Earth’s mesosphere, cometary tails, and Jupiter’s magnetosphere.

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“…We follow the same procedure in Refs. [50,53] and [54] to find the cnoidal wave solution of the obtained KdV Eq. ( 14) for DA waves.…”

Section: Nonlinear Periodic Wave Solutionsmentioning

confidence: 99%

Dust-acoustic solitary and periodic waves in magnetized self-gravito-electrostatic opposite polarity dusty plasmas

et al. 2022

Self Cite

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“…The works [40][41][42][43][44] discussed above have been performed by employing the reductive perturbation method with appropriate stretching of independent variables [45], which are valid for small amplitude DA solitary and shock waves in self-gravitating OPDP systems. To the best knowledge of the authors, no correct work, which is valid for arbitrary value of DA electrostatic and selfgravitation potentials, are carried out so far.…”

Section: Mamun and Schlickeisermentioning

confidence: 99%

“…The works of Mamun and Schlickeiser [40,41] have been further extended to different realistic situations of space and laboratory OPDP systems by a number authors, viz. Sabetkara and Dorranian [42], El-Taibany et al [43], Sumi et al [44], etc. Sabetkara and Dorranian [42] considered the self-gravitating OPDP system containing OPDS, kappa distributed ion species, and Boltzmann electron species to study the DA solitary waves and double layers.…”

Section: Introductionmentioning

confidence: 99%

“…Sabetkara and Dorranian [42] considered the self-gravitating OPDP system containing OPDS, kappa distributed ion species, and Boltzmann electron species to study the DA solitary waves and double layers. El-Taibany et al [43] assumed the self-gravitating OPDP system (containing inertial cold OPDS and q-distributed ion as well as electron species) in presence of external magnetic field and polar-ization force acting on OPDS to study the DA periodic and solitary waves. Sumi et al [44] considered a selfgravitating dissipative OPDP system containing trapped ion and Boltzmann electron species to investigate the effect of trapped ions on the DA shock waves.…”

Section: Introductionmentioning

confidence: 99%

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Dust-acoustic wave electrostatic and self-gravitational potentials in an opposite polarity dusty plasma system

Mannan

Nicola²,

Fedele

et al. 2020

Preprint

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An opposite polarity dusty plasma system (containing a few micron size massive opposite polarity dust species and singly charged ion species following Boltzmann law) is considered. The nature of dust-acoustic (DA) wave electrostatic and self-gravitational potentials are correctly found by the numerical analysis of two coupled second-order nonlinear differential equations for electrostatic and self-gravitational potentials associated with the DA waves in such an opposite polarity dusty plasma medium. These coupled nonlinear differential equations are derived from the continuity and momentum equations for positive and negative dust species, and the Boltzmann law for ion species. The basic features of the DA wave self-gravitational potential are compared with that of the DA wave electrostatic potential. The relevance of our results to space and laboratory opposite polarity dusty plasma systems is mentioned.

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“…In DAWs [23][24][25][26][27], the moment of inertia is provided by the mass of the dust grains, and restoring force is provided by the thermal pressure of the ions and electrons. On the other hand, in DIAWs [28][29][30][31][32], the moment of inertia is provided by the mass of the ions, and restoring force is provided by the thermal pressure of the electrons in the presence of immobile dust grains.…”

Section: Introductionmentioning

confidence: 99%

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Noman

Islam

Hassan

et al. 2021

Gases

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The standard nonlinear Schrödinger Equation (NLSE) is one of the elegant equations to find detailed information about the modulational instability criteria of dust-ion-acoustic (DIA) waves and associated DIA rogue waves (DIARWs) in a three-component dusty plasma medium with inertialess super-thermal kappa distributed electrons, and inertial warm positive ions and negative dust grains. It can be seen that the plasma system supports both fast and slow DIA modes under consideration of inertial warm ions along with inertial negatively charged dust grains. It is also found that the modulationally stable parametric regime decreases with κ. The numerical analysis has also shown that the amplitude of the first and second-order DIARWs decreases with ion temperature. These results are to be considered the cornerstone for explaining the real puzzles in space and laboratory dusty plasmas.

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Nonlinear dust acoustic waves in a self-gravitating and opposite-polarity complex plasma medium

Cited by 24 publications

References 57 publications

Dust-acoustic solitary and periodic waves in magnetized self-gravito-electrostatic opposite polarity dusty plasmas

Dust-acoustic solitary and periodic waves in magnetized self-gravito-electrostatic opposite polarity dusty plasmas

Dust-acoustic wave electrostatic and self-gravitational potentials in an opposite polarity dusty plasma system

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

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