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The condition for potential description of the wake waves,generated by flat or cylindrical driving electron bunch in cold plasma is derived. The two-dimensional nonlinear equation for potential valid for small values of that is obtained and…

Plasma Physics · Physics 2008-02-03 A. Amatuni

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 Sagdeev pseudo-potential approach has been employed extensively in theoretical studies to determine large-amplitude (fully) nonlinear solutions in a variety of multi-species plasmas. Although these solutions are repeatedly considered as…

Plasma Physics · Physics 2018-06-20 S. M. Hosseini Jenab , F. Spanier , G. Brodin

A generalized plasma model having warm ions, iso-thermal electrons, super-thermal electrons and positrons is considered to theoretically investigate the modulational instability (MI) of ion-acoustic waves (IAWs). A standard nonlinear…

Plasma Physics · Physics 2020-06-04 S. Banik , N. M. Heera , T. Yeashna , M. R. Hassan , R. K. Shikha , N. A. Chowdhury , A. Mannan , A. A. Mamun

A fully ionized multi-nucleus plasma system (containing thermally degenerate electron species, non-degenerate warm light nucleus species, and low dense stationary heavy nucleus species) is considered. The basic features of thermal and…

Plasma Physics · Physics 2020-08-03 A A Mamun

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

Propagation of ion-acoustic solitary waves (IASWs) is studied using the hydrodynamic equations coupled with the Poisson equation in a warm plasma consisting of adiabatic ions and superthermal (Kappa distributed) electrons in presence of an…

Plasma Physics · Physics 2012-04-19 A. R. Esfandyari-Kalejahi , E. Saberian

The self-consistent description of Langmuir wave and ion-sound wave turbulence in the presence of an electron beam is presented for inhomogeneous non-isothermal plasmas. Full numerical solutions of the complete set of kinetic equations for…

Plasma Physics · Physics 2019-03-21 E. P. Kontar , H. L. Pecseli

I considered a four-component magnetized plasma medium consisting of opposite polarity ions and super-thermal distributed positrons and electrons to investigate the stable/unstable frequency regimes of modulated ion-acoustic waves (IAWs) in…

Plasma Physics · Physics 2023-05-19 A. Parvez

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 self-consistent relativistic two-fluid model is proposed for one-dimensional electron-ion plasma dynamics. A multiple scales perturbation technique is employed, leading to an evolution equation for the wave envelope, in the form of a…

Plasma Physics · Physics 2016-07-06 M. McKerr , F. Haas , I. Kourakis

We consider the one-dimensional ions dynamics in weakly collisional plasmas governed by the Vlasov-Poisson-Landau system under the Boltzmann relation with the small collision frequency $\nu>0$. It is observed in physical experiments that…

Analysis of PDEs · Mathematics 2025-07-01 Renjun Duan , Zongguang Li , Dongcheng Yang , Tong Yang

Unmagnetized collisionless plasma system consisting of positive- and negative ions, and electrons are considered to study the head-on collision of ion-acoustic shock waves (IASWs) and its effects on the formation of shock (monotonic and…

Plasma Physics · Physics 2019-02-20 M S Alam , M R Talukder

We investigate the linear and nonlinear evolution of the ion-acoustic instability in a collisionless plasma via two-dimensional (2D2V) Vlasov-Poisson numerical simulations. We initialize the system in a stable state and gradually drive it…

Plasma Physics · Physics 2024-07-09 Zhuo Liu , Ryan White , Lucio M. Milanese , Nuno F. Loureiro

We determine the growth rate of linear instabilities resulting from long-wavelength transverse perturbations applied to periodic nonlinear wave solutions to the Schamel-Korteweg-de Vries-Zakharov-Kuznetsov (SKdVZK) equation which governs…

Plasma Physics · Physics 2022-12-26 S. Phibanchon , M. A. Allen , G. Rowlands

The novel thermally degenerate plasma model (based on a system containing relativistically and thermally degenerate inertial-less electron species, non-relativistically and thermally degenerate inertial light nucleus species, and stationary…

Plasma Physics · Physics 2020-10-28 A. A. Mamun , J. Akter

Ion-acoustic waves in a dusty plasma are investigated where it is assumed that the ions follow a Cairns distribution and the electrons are Boltzmann distributed. Two theoretical methods are applied: Sagdeev pseudopotential analysis (SPA)…

Plasma Physics · Physics 2025-08-06 Frank Verheest , Willy A. Hereman

In this paper, the nonlinear theory of plasma waves is extended to the plasmas that their equilibrium state are specified by the non-Maxwellian (here kappa) distribution. We believe that the extension is very important since most of the…

Plasma Physics · Physics 2007-05-23 H. Abbasi , H. Hakimi Pajouh , H. A. Shah

Models for travelling waves in multi-fluid plasmas give essential insight into fully nonlinear wave structures in plasmas, not readily available from either numerical simulations or from weakly nonlinear wave theories. We illustrate these…

Plasma Physics · Physics 2019-02-20 G. M. Webb , R. H. Burrows , X. Ao , G. P. Zank

Early results concerning the shape and stability of ion acoustic waves are generalized to propagation at an angle to the magnetic field lines. Each wave has a critical angle for stability. Known soliton results are recovered as special…

Pattern Formation and Solitons · Physics 2017-02-08 Piotr Goldstein , Eryk Infeld