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In this work, gyrokinetic theory of drift waves (DWs) self-regulation via the forced driven zonal flow (ZF) is presented, and finite diamagnetic drift frequency due to plasma nonuniformity is shown to play dominant role in ZF forced…

Plasma Physics · Physics 2024-02-13 Ningfei Chen , Liu Chen , Fulvio Zonca , Zhiyong Qiu

Employing linearized Vlasov-Maxwell system, the Weibel instability embedded in an ambient magnetic field is discussed for a semi-relativistic bi-Maxwellian distribution hoping such a scenario occurs in some relativistic environments e.g.,…

Plasma Physics · Physics 2013-09-04 M. F. Bashir , S. Zaheer , Z. Iqbal , G. Murtaza

We consider the periodic standing waves in the derivative nonlinear Schrodinger (DNLS) equation arising in plasma physics. By using a newly developed algebraic method with two eigenvalues, we classify all periodic standing waves in terms of…

Exactly Solvable and Integrable Systems · Physics 2021-05-19 Jinbing Chen , Dmitry E. Pelinovsky , Jeremy Upsal

Plasmas in various astrophysical systems are in non-equilibrium states as evidenced by direct in-situ measurements in the solar wind, solar corona and planetary environments as well as by indirect observations of nonthermal sources of waves…

Plasma Physics · Physics 2026-01-27 Simon Tischmann , Rudi Gaelzer , Dustin Schröder , Marian Lazar , Horst Fichtner

In graphene, where the electron-electron scattering is dominant, electrons collectively act as a fluid. This hydrodynamic behaviour of charge carriers leads to exciting nonlinear phenomena such as solitary waves and shocks, among others. In…

Mesoscale and Nanoscale Physics · Physics 2024-04-12 Pedro Cosme , Hugo Terças

We consider the 1/2-dimensional relativistic Vlasov-Maxwell system that describes the time-evolution of a plasma. We find a relatively simple criterion for spectral instability of a wide class of equilibria. This class includes…

Analysis of PDEs · Mathematics 2015-05-28 Jonathan Ben-Artzi

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 influence of motion of ions and electron temperature on nonlinear one-dimensional plasma waves with velocity close to the speed of light in vacuum is investigated. It is shown that although the wavebreaking field weakly depends on mass…

Plasma Physics · Physics 2009-10-31 Arsen G. Khachatryan

This paper sheds new light on the stability properties of solitary wave solutions associated with models of Korteweg-de Vries and Benjamin\&Bona\&Mahoney type, when the dispersion is very lower. Via an approach of compactness, analyticity…

Analysis of PDEs · Mathematics 2018-03-14 Jaime Angulo Pava

Compactons are studied in the framework of the Korteweg-de Vries (KdV) equation with the sublinear nonlinearity. Compactons represent localized bell-shaped waves of either polarity which propagate to the same direction as waves of the…

Pattern Formation and Solitons · Physics 2021-06-02 Dmitry E. Pelinovsky , Alexey V. Slunyaev , Anna V. Kokorina , Efim N. Pelinovsky

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

The nonlinear evolution of a unstable electrostatic wave is considered for a multi-species Vlasov plasma. From the singularity structure of the associated amplitude expansions, the asymptotic features of the electric field and distribution…

Plasma Physics · Physics 2009-10-31 John David Crawford , Anandhan Jayaraman

We employ the Sagdeev pseudo-potential method to investigate the propagation of nonlinear ion waves in a relativistically degenerate electron-ion plasmas. The matching criteria for existence of such nonlinear excitations are numerically…

Solar and Stellar Astrophysics · Physics 2015-05-20 M. Akbari-Moghanjoughi

The Weibel instability is analyzed for quantum plasmas described by the Wigner-Maxwell model. For a suitable class of electromagnetic potentials, the Wigner-Maxwell system is linearized yielding a general dispersion relation for transverse…

Plasma Physics · Physics 2009-11-13 Fernando Haas

In this Letter, weak turbulence theory is used to investigate interactions among Alfven waves and fast and slow magnetosonic waves in collisionless low-beta plasmas. The wave kinetic equations are derived from the equations of…

Astrophysics · Physics 2009-11-13 Benjamin D. G. Chandran

The evolution of quasi-isentropic magnetohydrodynamic waves of small but finite amplitude in an optically thin plasma is analyzed. The plasma is assumed to be initially homogeneous, in thermal equilibrium and with a straight and homogeneous…

Astrophysics · Physics 2009-10-31 Valery M. Nakariakov , Cesar A. Mendoza-Briceno , Miguel H. Ibanez S.

A new, completely integrable, two dimensional evolution equation is derived for an ion acoustic wave propagating in a magnetized, collisionless plasma. The equation is a multidimensional generalization of a modulated wavepacket with weak…

Exactly Solvable and Integrable Systems · Physics 2018-06-13 Abhik Mukherjee , M. S. Janaki , Anjan Kundu

Observation of low- and high-frequency backward waves in the nonlinear regime of the Buneman instability is reported. Intense low-frequency backward waves propagating in the direction opposite to the electron drift (with respect to the ion…

We present perturbation theory based on the inverse scattering transform method for solitons described by an equation with the inverse linear dispersion law $\omega\sim 1/k$, where $\omega$ is the frequency and $k$ is the wave number, and…

Pattern Formation and Solitons · Physics 2021-04-14 V. M. Lashkin

The theory of the ion cyclotron (IC) electrostatic parametric instabilities of plasma which are driven by the elliptically polarized fast wave (FW) of the finite wavelength is developed. The growth rate of the IC quasimode decay…

Plasma Physics · Physics 2020-01-07 V. S. Mikhailenko , V. V. Mikhailenko , Hae June Lee