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The nonlinear Schr\"odinger equation (NLSE) models the slowly varying envelope dynamics of a weakly nonlinear quasi-monochromatic wave packet in dispersive media. In the context of Bose-Einstein condensate (BEC), it is often referred to as…

斑图形成与孤子 · 物理学 2019-12-24 N. Karjanto

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

We consider the amplitude modulation of low-frequency, long wavelength electrostatic drift wave packets in a nonuniform magnetoplasma with the effects of equilibrium density, electron temperature and magnetic field inhomogeneities. The…

等离子体物理 · 物理学 2012-09-18 P. K. Shukla , A. P. Misra

We study the existence of stable axially and spherically symmetric plasma structures on the basis of the new nonlinear Schrodinger equation (NLSE) accounting for nonlocal electron nonlinearities. The numerical solutions of NLSE having the…

等离子体物理 · 物理学 2015-03-17 Maxim Dvornikov

The basic features of nucleus-acoustic (NA) envelope bright and dark solitons, which exist in degenerate quantum plasmas, have been theoretically investigated by deriving the nonlinear Schr\"odinger (NLS) equation. The reductive…

等离子体物理 · 物理学 2017-06-20 N. A. Chowdhury , M. M. Hasan , A. Mannan , A. A. Mamun

We study the nonlinear propagation of electrostatic wave packets in a collisional plasma composed of strongly coupled ions and relativistically degenerate electrons. The equilibrium of ions is maintained by an effective temperature…

等离子体物理 · 物理学 2012-02-24 A. P. Misra , P. K. Shukla

Dust-acoustic (DA) waves (DAWs) and their modulational instability (MI) have been investigated theoretically in a plasma system consisting of inertial opposite polarity (positively and negatively) warm adiabatic charged dust particles as…

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

We investigate the macroscopic dynamics of sets of an arbitrary finite number of weakly amplitude-modulated pulses in a multidimensional lattice of particles. The latter are assumed to exhibit scalar displacement under pairwise,…

数学物理 · 物理学 2009-02-12 Johannes Giannoulis

We analytically study nonlinear quasi-monochromatic plasma waves in a two-dimensional electron system set between the two metal electrodes (gates). We derive a nonlinear Schrodinger equation for a slow-varying envelope to describe the…

介观与纳米尺度物理 · 物理学 2025-08-29 A. A. Zabolotnykh

The propagation of plasma waves in a new non-linear, logarithmic electrodynamics model is performed. A cold, uniform, collisionless fluid plasma model is applied. Electrostatic waves in magnetized plasma are shown to correspond to modified…

等离子体物理 · 物理学 2019-05-01 Fernando Haas , Patricio Gaete , Leonardo P. R. Ospedal , José Abdalla Helayël-Neto

A nonlinear time dependent fluid simulation model is developed that describes the evolution of magnetohydrodynamic waves in the presence of collisional and charge exchange interactions of a partially ionized plasma. The partially ionized…

空间物理 · 物理学 2015-05-19 Dastgeer Shaikh , G. P. Zank

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

A theoretical investigation has been made to study the modulation stability/instability of three-dimensional dust-ion-acoustic wave packets in the warm magnetized complex plasma system in the presence of nonthermal distributed electrons and…

等离子体物理 · 物理学 2023-06-12 A. Parvez , A. Mannan , M. N. Haque , A. A. Mamun

Linearly polarized solitary waves, arising from the interaction of an intense laser pulse with a plasma, are investigated. New localized structures, in the form of exact \Changes{numerical} nonlinear solutions of the one-dimensional…

等离子体物理 · 物理学 2015-03-11 G. Sánchez-Arriaga , E. Siminos , V. Saxena , I. Kourakis

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…

等离子体物理 · 物理学 2017-01-31 Foisal B. T. Siddiki , A. A. Mamun , M. R. Amin

We overview the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by a sequence of linear and nonlinear layers. First, we consider a single layer with a cubic nonlinear response…

斑图形成与孤子 · 物理学 2009-04-01 Andrey A. Sukhorukov , Yuri S. Kivshar

In this work, modulation of periodic interfacial waves on a conduit of viscous liquid is explored utilizing Whitham theory and Nonlinear Schr\"odinger (NLS) theory. Large amplitude periodic wave modulation theory does not require…

斑图形成与孤子 · 物理学 2017-03-14 Michelle D. Maiden , Mark. A. Hoefer

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

Modulational instability (MI) of ion-acoustic waves (IAWs) has been theoretically investigated in a plasma system which is composed of inertial warm adiabatic ions, isothermal positrons, and two temperature superthermal electrons. A…

等离子体物理 · 物理学 2017-06-20 N. A. Chowdhury , M. M. Hasan , A. Mannan , A. A. Mamun

We investigate solitons and nonlinear Bloch waves in Bose-Einstein condensates trapped in optical lattices. By introducing specially designed localized profiles of the spatial modulation of the attractive nonlinearity, we construct an…

量子气体 · 物理学 2015-05-19 Jie-Fang Zhang , Yi-Shen Li , Jianping Meng , Lei Wu , Boris A. Malomed