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The nonlinear propagation of dust-acoustic (DA) waves in a magnetized dusty plasma with a pair of trapped ions is investigated. Starting from a set of hydrodynamic equations for massive dust fluids as well as kinetic Vlasov equations for…

Plasma Physics · Physics 2017-11-20 A. P. Misra

The propagation of small amplitude stationary profile nonlinear solitary waves in a pair plasma is investigated employing the reductive perturbation technique via well-known Korteweg de Vries (KdV) and modified KdV (mKdV) equations, we tend…

Plasma Physics · Physics 2024-06-19 Tanvir I. Rajib

The nonlinear propagation of electrostatic dust-acoustic (DA) waves in a magnetized dusty plasma consisting of negatively charged mobile dusts, nonthermal fast electrons and trapped ions with vortex-like distribution is studied. Using the…

Plasma Physics · Physics 2014-12-02 A. P. Misra , Y. Wang

The nonlinear theory of dust-acoustic waves (DAWs) with Landau damping is studied in an unmagnetized dusty negative-ion plasma in the extreme conditions when the free electrons are absent. The cold massive charged dusts are described by…

Plasma Physics · Physics 2014-07-18 A. Barman , A. P. Misra

It is universally accepted that the cubic, nonlinear Schrodinger equation (NLS) models the dynamics of narrow-bandwidth wave packets consisting of short dispersive waves, while the Kortewegde Vries equation (KdV) models the propagation of…

Mathematical Physics · Physics 2016-10-23 Chuangye Liu , Nghiem V. Nguyen

The effects of the non-extensive statistics on the nonlinear propagation of perturbations have been studied within the scope of relativistic second order dissipative hydrodynamics with the non-extensive equation of state. We have shown that…

Nonlinear effects in the propagation of perturbations in a dusty electron-ion plasma is studied, considering fully relativistic wave motion. A multifluid model is considered for the particles, from which a KdV equation can be derived. In…

Plasma Physics · Physics 2023-08-29 Maricarmen A. Winkler , Víctor Muñoz , Felipe A. Asenjo

Sardar et al. [Phys. Plasmas 23, 073703 (2016)] have studied the stability of small amplitude dust ion acoustic solitary waves in a collisionless unmagnetized electron - positron - ion - dust plasma. They have derived a Kadomtsev…

Plasma Physics · Physics 2018-10-16 Sankirtan Sardar , Anup Bandyopadhyay , K. P. Das

The KdV equation models the propagation of long waves in dispersive media, while the NLS equation models the dynamics of narrow-bandwidth wave packets consisting of short dispersive waves. A system that couples the two equations to model…

Pattern Formation and Solitons · Physics 2016-10-12 Bernard Deconinck , Nghiem V. Nguyen , Benjamin L. Segal

A Korteweg-de Vries (KdV) equation including the effect of Landau damping is derived to study the propagation of weakly nonlinear and weakly dispersive ion acoustic waves in a collisionless unmagnetized plasma consisting of warm adiabatic…

Plasma Physics · Physics 2018-10-31 Sandip Dalui , Anup Bandyopadhyay

A new type of wave-mean flow interaction is identified and studied in which a small-amplitude, linear, dispersive modulated wave propagates through an evolving, nonlinear, large-scale fluid state such as an expansion (rarefaction) wave or a…

Pattern Formation and Solitons · Physics 2019-08-06 T. Congy , G. A. El , M. A. Hoefer

The concept of Nonlinear dispersion relation (NDR) is used in various fields of Physics (nonlinear optics, hydrodynamics, hydroelasticity, mechanics, quantum optics, plasma physics,...) to characterize fundamental phenomena induced by…

Linear and nonlinear ion-acoustic waves are studied in a fluid model for non-relativistic, unmagnetized quantum plasma with electrons with an arbitrary degeneracy degree. The equation of state for electrons follows from a local Fermi-Dirac…

Plasma Physics · Physics 2016-03-09 Fernando Haas , Shahzad Mahmood

The linear and nonlinear theories of electron-acoustic waves (EAWs) are studied in a partially degenerate quantum plasma with two-temperature electrons and stationary ions. The initial equilibrium of electrons is assumed to be given by the…

Plasma Physics · Physics 2021-11-03 Amar P. Misra , Debjani Chatterjee , Gert Brodin

Dispersive averaging effects are used to show that KdV equation with periodic boundary conditions possesses high frequency solutions which behave nearly linearly. Numerical simulations are presented which indicate high accuracy of this…

Mathematical Physics · Physics 2016-11-25 M. B. Erdogan , N. Tzirakis , V. Zharnitsky

The nonlinear propagation of dust acoustic solitary waves (DASWs) in an unmagnetized dusty plasma consisting of negatively charged dust fluid Boltzmann distributed electrons with two different temperatures Boltzmann distributed ions with…

Plasma Physics · Physics 2022-01-06 Rasool Barazandeh Kian , Mohammad Hossein Mahdieh

The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schr\"{o}dinger equation with periodically modulated and sign-variable dispersion is now well known in nonlinear optics. Our…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 Simon Clarke , Boris A. Malomed , Roger Grimshaw

Nonlinear self-modulation of the dust acoustic waves is studied, in the presence of non-thermal (non-Maxwellian) ion and electron populations. By employing a multiple scale technique, a nonlinear Schrodinger-type equation (NLSE) is derived…

Plasma Physics · Physics 2015-06-26 Ioannis Kourakis , P. K. Shukla

A rigorous theoretical investigation has been made on electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid, non-thermal hot electrons and stationary ions. Based on the pseudo-potential…

Pattern Formation and Solitons · Physics 2010-04-14 S. A. El-Wakil , E. K. El-Shewy , H. M. Abd-El-Hamid , E. M. Abulwafa

In this article we are going to consider dust acoustic wave in dusty plasma whose constituents are inertial negative charged dust particles, Boltzmann distributed electrons and non-thermal distributed ions with variable dust charge. Using…

Plasma Physics · Physics 2011-06-21 Gh. Forozani , M. Mohammadi
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