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A detailed study of the Charney-Hasegawa-Mima model and its extensions is presented. These simple nonlinear partial differential equations suggested for both Rossby waves in the atmosphere and also drift waves in a magnetically-confined…

Fluid Dynamics · Physics 2016-01-20 Colm Connaughton , Sergey Nazarenko , Brenda Quinn

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

Generation of zonal ow (ZF) by energetic particle (EP) driven toroidal Alfven eigenmode (TAE) is investigated using nonlinear gyrokinetic theory. It is found that, nonlinear resonant EP contri- bution dominates over the usual Reynolds and…

Plasma Physics · Physics 2016-10-12 Zhiyong Qiu , Liu Chen , Fulvio Zonca

Supratransmission is a fascinating and counterintuitive nonlinear wave phenomenon that enables energy transmission through frequency band gaps. Recent studies have suggested that supratransmission in a damped-driven Klein-Gordon equation…

Pattern Formation and Solitons · Physics 2025-04-29 Abrari Noor Hasmi , Hadi Susanto

The tertiary instability is believed to be important for governing magnetised plasma turbulence under conditions of strong zonal flow generation, near marginal stability. In this work, we investigate its role for a collisionless strongly…

Plasma Physics · Physics 2021-10-27 A. Hallenbert , G. G. Plunk

In this work, it is shown that electrostatic solitons in a plasma with turbulent heating of the electrons through an accelerating electric field can form with very high velocities, reaching up to several order of magnitudes larger than the…

Plasma Physics · Physics 2025-09-03 Mridusmita Das , Murchana Khusroo , Madhurjya P. Bora

We present a review of the latest developments in 1D OWT. Based on an original experimental setup that allows for the implementation of 1D OWT, we are able to show that an inverse cascade occurs through the spontaneous evolution of the…

The linear non-modal kinetic theory of the kinetic drift-Alfven instability of plasma shear flows reveals the temporal non-modal growth with growing with time growth rate. The turbulent scattering of the sheared modes on ions accelerates…

Plasma Physics · Physics 2015-06-15 V. V. Mikhailenko , V. S. Mikhailenko , Hae June Lee , M. E. Koepke

The Hasegawa-Wakatani equations, coupling plasma density and electrostatic potential through an approximation to the physics of parallel electron motions, are a simple model that describes resistive drift wave turbulence. We present…

Plasma Physics · Physics 2008-11-17 Ryusuke Numata , Rowena Ball , Robert L. Dewar

We present a novel one-dimensional nonlinear evolution equation governing the dynamics short-wavelength longitudinal waves in a nonrelativistic fully degenerate quantum plasma using kinetic equation for the Wigner function. The linear…

Pattern Formation and Solitons · Physics 2021-03-11 Volodymyr M. Lashkin

We demonstrate analytically that, in toroidal plasmas, scattering by drift wave turbulence could lead to appreciable damping of toroidal Alfven eigenmodes via generation of short-wavelength electron Landau damped kinetic Alfven waves. A…

Plasma Physics · Physics 2022-07-20 Liu Chen , Zhiyong Qiu , Fulvio Zonca

We derive the nonlinear equations that describe coupled drift waves and ion acoustic waves in a plasma. We show that when the coupling to ion acoustic waves is negligible, the reduced nonlinear equation is a generalization of the…

Pattern Formation and Solitons · Physics 2017-09-20 Volodymyr M. Lashkin

A new strategy is presented to explain the creation and persistence of zonal flows widely observed in plasma edge turbulence. The core physics in the edge regime of the magnetic-fusion tokamaks can be described qualitatively by the…

Plasma Physics · Physics 2019-01-28 Di Qi , Andrew J. Majda

Turbulence driven zonal flows play an important role in fusion devices since they improve plasma confinement by limiting the level of anomalous transport. Current theories mostly focus on flow excitation but do not self-consistently…

Plasma Physics · Physics 2011-06-13 Niels Guertler , Klaus Hallatschek

This paper presents a detailed study on the controlled experimental observation of drift wave instabilities in an inhomogeneous Six pole cusp magnetic field generated by an in-house developed Multi-pole line cusp magnetic field device (MPD)…

Plasma Physics · Physics 2021-12-08 A. D. Patel , M. Sharma , R. Ganesh , N. Ramasubramanian , P. K. Chattopadhyay

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

We develop the theoretical procedures for shifting the frequency of a single soliton and of a sequence of solitons of the nonlinear Schr\"odinger equation. The procedures are based on simple transformations of the soliton pattern in the…

Pattern Formation and Solitons · Physics 2020-03-03 Quan M. Nguyen , Toan T. Huynh

This paper deals with the temporal nonlinear dynamics of plasmon-solitons in a plasmonic waveguide. Duffing equation is recognized as the temporal part of the nonlinear amplitude equation governing the plasmonic waveguide. It is shown that…

Pattern Formation and Solitons · Physics 2022-07-29 Morteza A. Sharif

The general framework of envelope modulations for plasma turbulence in the presence of strong magnetic fields is discussed. It is shown that the problem can be formulated using a functional which is equivalent to the plasma dielectric…

Plasma Physics · Physics 2017-11-23 Ö. D. Gürcan , P. Donnel

Supersonic flow of a superfluid past a slender impenetrable macroscopic obstacle is studied in the framework of the two-dimensional defocusing nonlinear Schr\"odinger (NLS) equation. This problem is of fundamental importance as a dispersive…

Pattern Formation and Solitons · Physics 2013-05-29 G. A. El , A. M. Kamchatnov , V. V. Khodorovskii , E. S. Annibale , A. Gammal