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We consider the nonlinear stability of spectrally stable periodic waves in the Lugiato-Lefever equation (LLE), a damped nonlinear Schr\"odinger equation with forcing that arises in nonlinear optics. So far, nonlinear stability of such…

偏微分方程分析 · 数学 2024-09-24 Mariana Haragus , Mathew A. Johnson , Wesley R. Perkins , Björn de Rijk

We analytically study plasma solitary waves, or solitons, in a two-dimensional (2D) electron system (ES) placed in close proximity to and between two ideal metallic gates. As a rule, solitons are described using a perturbative approach…

介观与纳米尺度物理 · 物理学 2022-05-20 A. A. Zabolotnykh

It was observed experimentally that after crossing a waveguide filled with a neutral gas, a short powerful microwave pulse leaves a periodic glow of plasma along the waveguide, persisting several tens of nanoseconds. A theoretical model is…

等离子体物理 · 物理学 2024-03-05 Y. Bliokh , Y. Cao , V. Maksimov , A. Haim , J. G. Leopold , A. Kostinsky , Ya. E. Krasik

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

In many plasma systems, introducing a small background shear flow is enough to stabilize the system linearly. The nonlinear dynamics are much less sensitive to sheared flows than the average linear growthrates, and very small amplitude…

等离子体物理 · 物理学 2018-01-17 Chris C. T. Pringle , Ben F. McMillan , Bogdan Teaca

The solar corona is a typical example of a plasma with strongly anisotropic transport processes. The main dissipative mechanisms in the solar corona acting on slow magnetoacoustic waves are the anisotropic thermal conductivity and…

天体物理学 · 物理学 2014-11-18 Christopher Clack , Istvan Ballai

This paper provides a complete self-consistent nonlinear theory for electron plasma waves, within the framework of the adiabatic approximation. The theory applies whatever the variations of the wave amplitude, provided that they are slow…

等离子体物理 · 物理学 2022-05-25 M. Tacu , D. Bénisti

The wave instability acts in astrophysical plasmas to redistribute energy and momentum in the absence of frequent collisions. There are many different types of waves, and it is important to quantify the wave energy density and growth rate…

空间物理 · 物理学 2023-04-05 Seong-Yeop Jeong , Clare Watt

In the study of plasma, particularly in applications involving strong laser-plasma interactions, the propagation of a strong electromagnetic wave induces relativistic velocities in the electron flow. Given such conditions, the wave…

等离子体物理 · 物理学 2026-02-13 Zohreh Hashempour , Mehdi Nasri Nasrabadi , Nora Nassiri-Mofakham , Hamidreza Daniali

Weakly ionized plasmas can be found in the lower layers of the solar and stellar atmospheres and in structures such as prominences and spicules. A variety of density perturbations and bulk flows detected in these environments have been…

等离子体物理 · 物理学 2026-05-29 David Martínez-Gómez

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…

等离子体物理 · 物理学 2024-06-19 Tanvir I. Rajib

A standard version of a kinetic instability for the generation of Langmuir waves by a beam of electrons is adapted to describe the analogous instability due to a beam of neutrinos. The interaction between a Langmuir wave and a neutrino is…

天体物理学 · 物理学 2009-10-30 S. J. Hardy , D. B. Melrose

Relativistic electron beam transport through a high-density, magnetized plasma is studied numerically and theoretically. An electron beam injected into a cold plasma excites Weibel and two-stream instabilities that heat the beam and…

等离子体物理 · 物理学 2017-05-24 Toshihiro Taguchi , Thomas M. Antonsen , Kunioki Mima

The spatiotemporal propagation behavior of a solitary wave is investigated on a Fermi-Pasta-Ulam ring. We observe the emergence of a cnoidal wave excited by the solitary wave. The cnoidal wave may coexist with the solitary wave for a long…

斑图形成与孤子 · 物理学 2013-10-14 Zongqiang Yuan , Jun Wang , Min Chu , Guodong Xia , Zhigang Zheng

We investigate the nonlinear interaction between a relativistically strong laser beam and a plasma in the quantum regime. The collective behavior of the electrons is modeled by a Klein-Gordon equation, which is nonlinearly coupled with the…

等离子体物理 · 物理学 2011-07-26 Bengt Eliasson , Padma K. Shukla

In this paper we study a system of coupled nonlinear Schrodinger equations modelling a quantum degenerate mixture of bosons and fermions. We analyze the stability of plane waves, give precise conditions for the existence of solitons and…

斑图形成与孤子 · 物理学 2007-05-23 Juan Belmonte-Beitia , Victor M. Perez-Garcia , Vadym Vekslerchik

A four component space plasma system (consisting of immobile positive ions, inertial cold positrons as well as hot electrons and positrons following Cairns' nonthermal distribution function is considered. The nonlinear propagation of the…

等离子体物理 · 物理学 2018-11-14 N. A. Chowdhury , A. Mannan , M. R. Hossen , A. A. Mamun

New non-linear, spatially periodic, long wavelength electrostatic modes of an electron fluid oscillating against a motionless ion fluid (Langmuir waves) are given, with viscous and resistive effects included. The cold plasma approximation…

等离子体物理 · 物理学 2010-05-28 A. A. Skorupski , E. Infeld

The stability and dynamical properties of the so-called resonant nonlinear Schr\"odinger (RNLS) equation, are considered. The RNLS is a variant of the nonlinear Schr\"odinger (NLS) equation with the addition of a perturbation used to…

斑图形成与孤子 · 物理学 2020-03-05 F. Williams , F. Tsitoura , T. P. Horikis , P. G. Kevrekidis

We study the dynamics of two-dimensional nonlinear ion-ion hybrid waves propagating perpendicular to an external magnetic field in plasmas with two ion species. We derive nonlinear equations for the envelope of electrostatic potential at…

斑图形成与孤子 · 物理学 2024-04-15 Volodymyr M. Lashkin