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Dynamics of solitons is considered in the framework of the extended nonlinear Schrodinger equation (NLSE), which is derived from a system of Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves, in which the…

Pattern Formation and Solitons · Physics 2014-01-14 E. M. Gromov , B. A. Malomed

We study the applicability of the derivative nonlinear Schr\"{o}dinger (DNLS) equation, for the evolution of high frequency nonlinear waves, observed at the foreshock region of the terrestrial quasi-parallel bow shock. The use of a…

Plasma Physics · Physics 2016-12-07 B. Hnat , D. Y. Kolotkov , D. O'Connell , V. M. Nakariakov , G. Rowlands

An asymmetric pair of coupled nonlinear Schr{\"o}dinger (CNLS) equations has been derived through a multiscale perturbation method applied to a plasma fluid model, in which two wavepackets of distinct carrier wavenumbers and amplitudes are…

Plasma Physics · Physics 2024-03-22 N. Lazarides , Giorgos P. Veldes , D. J. Frantzeskakis , Ioannis Kourakis

The defocusing nonlinear Schr\"odinger (NLS) equation has no the modulational instability, and was not found to possess the rogue wave (RW) phenomenon up to now. In this paper, we firstly investigate some novel nonlinear wave structures in…

Pattern Formation and Solitons · Physics 2021-11-19 Li Wang , Zhenya Yan

Neutron stars have solid crusts threaded by strong magnetic fields. Perturbations in the crust can excite non-radial oscillations, which can in turn launch Alfven waves into the magnetosphere. In the case of a compact binary close to merger…

High Energy Astrophysical Phenomena · Physics 2024-10-01 Elias R. Most , Yoonsoo Kim , Katerina Chatziioannou , Isaac Legred

The basic features of linear and nonlinear quantum electron-acoustic (QEA) waves in a degenerate quantum plasma (containing non-relativistically degenerate electrons, superthermal or $\kappa$-distributed electrons, and stationary ions) are…

Plasma Physics · Physics 2017-01-31 Foisal B. T. Siddiki , A. A. Mamun , M. R. Amin

Theoretical and numerical studies are presented of the nonlinear amplitude modulation of dust-acoustic (DA) waves propagating in an unmagnetized three component, weakly-coupled, fully ionized plasma consisting of electrons, positive ions…

Plasma Physics · Physics 2009-11-10 I. Kourakis , P. K. Shukla

Our study investigates the properties of Alfv\'en waves in partially ionised solar plasmas in the presence of steady, field-aligned, flows of charged and neutral particles. Our work aims to understand how such flows modify wave propagation…

Solar and Stellar Astrophysics · Physics 2025-11-17 Nada F. Alshehri , Istvan Ballai , Viktor Fedun , Gary Verth

The nonlinear three-wave interaction process at the heart of the parametric decay process is studied by launching counter-propagating Alfv\'en waves from antennas placed at either end of the Large Plasma Device (LAPD). A resonance in the…

Plasma Physics · Physics 2013-05-08 S. Dorfman , T. A. Carter

In space and astrophysical plasmas, turbulence is responsible for transferring energy from large scales driven by violent events or instabilities, to smaller scales where turbulent energy is ultimately converted into plasma heat by…

Plasma Physics · Physics 2018-02-14 J. L. Verniero , G. G. Howes , K. G. Klein

The instability and nonlinear evolution of directional ocean waves is investigated numerically by means of simulations of the governing kinetic equation for narrow-band surface waves. Our simulation results reveal the onset of the…

Fluid Dynamics · Physics 2015-05-14 Bengt Eliasson , Padma K. Shukla

We study the dispersion properties of electron plasma waves, or plasmons, which can be excited in quantum plasmas in the nonlinear regime. In order to describe nonlinear electron response to finite amplitude plasmons, we apply the Volkov…

Quantum Gases · Physics 2023-10-13 F. Haas , J. T. Mendonça , H. Terças

The Weibel/filamentation instability is known to play a key role in the physics of weakly magnetized collisionless shock waves. From the point of view of high energy astrophysics, this instability also plays a crucial role because its…

Plasma Physics · Physics 2015-05-20 Martin Lemoine

We develop the theory of transformation of intensive initial nonlinear wave pulses to trains of solitons emerging at asymptotically large time of evolution. Our approach is based on the theory of dispersive shock waves in which the number…

Pattern Formation and Solitons · Physics 2023-10-30 A. M. Kamchatnov

We present a predictive model of the nonlinear phase of the Weibel instability induced by two symmetric, counter-streaming ion beams in the non-relativistic regime. This self-consistent model combines the quasilinear kinetic theory of…

Plasma Physics · Physics 2015-04-08 C. Ruyer , L. Gremillet , A. Debayle , G. Bonnaud

Antiferromagnets (AFM) with a nonrelativistic spin splitting (NSS) of electronic bands expand the range of spin-dependent phenomena and their applications. A crucial understanding for both of them pertains to the inherent spin dynamics. We…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Konstantin S. Denisov , Igor Žutić

This review presents an upgraded wave theory adapted to the high fluctuation level of driven realistic i.e. non-idealized plasmas. Above all, this means giving up the well-known concept of a linear wave theory in favor of a thoroughly…

Plasma Physics · Physics 2022-05-18 Hans Schamel

We construct a mean-field model that describes the nonlinear dynamics of a spin-polarized electron gas interacting with fixed, positively-charged ions possessing a magnetic moment that evolves in time. The mobile electrons are modeled by a…

The nonlinear evolution of unstable C-type shocks in weakly ionized plasmas is studied by means of time-dependent magnetohydrodynamical simulations. This study is limited to shocks in magnetically dominated plasmas (in which the Alfven…

Astrophysics · Physics 2009-10-30 James M. Stone

This paper addresses the linear and nonlinear three-dimensional propagation of an electron wave in a collisionless plasma that may be inhomogeneous, nonstationary, anisotropic and even weakly magnetized. The wave amplitude, together with…

Plasma Physics · Physics 2016-11-03 Didier Bénisti