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The hot electron-positron unmagnetized plasma with small fraction of cold electron-ion plasma is investigated. The modulational interactions of the electromagnetic waves and the electron-sound waves are studied. The possibility of soliton…

Astrophysics · Physics 2009-10-31 N. L. Shatashvili , J. I. Javakhishvili , H. Kaya

A general wave model with the cubic nonlinearity is introduced to describe a situation when the linear dispersion relation has three branches, which would intersect in the absence of linear couplings between the three waves. Actually, the…

Pattern Formation and Solitons · Physics 2009-11-07 Roger Grimshaw , Boris A. Malomed , Georg A. Gottwald

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…

Mesoscale and Nanoscale Physics · Physics 2025-08-29 A. A. Zabolotnykh

Dust-ion collisional effect in dust ion acoustic waves is investigated in the framework of spherical and cylindrical geometry. For such study the fluid equation are takes and collisional effect is consider in the equation of momentum…

Plasma Physics · Physics 2021-12-08 Uday Narayan Ghosh , Laxmikanta Mandi , Prasanta Chatterjee

The phenomenon of nonlinear wave mixing is investigated in a Yukawa one-component plasma using two-dimensional classical Langevin molecular dynamics simulations. The wave spectrum indicates that nonlinear interactions between the excited…

Plasma Physics · Physics 2025-11-04 Ajaz Mir , Farida Batool , Sanat Tiwari , Abhijit Sen

The before described general principles and methodology of calculating electron wave propagation in homogeneous isotropic half-infinity slab of Maxwellian plasma with indefinite but in principal value sense taken integrals in characteristic…

Plasma Physics · Physics 2008-03-30 V. N. Soshnikov

This article offers a review of results for solitons in 2D and 3D models of nonlinear dissipative media. The existence of such solitons requires to maintain two balances: between nonlinear self-focusing and linear diffraction and/or…

Pattern Formation and Solitons · Physics 2022-08-31 Boris A. Malomed

We investigate the linear and nonlinear evolution of the ion-acoustic instability in a collisionless plasma via two-dimensional (2D2V) Vlasov-Poisson numerical simulations. We initialize the system in a stable state and gradually drive it…

Plasma Physics · Physics 2024-07-09 Zhuo Liu , Ryan White , Lucio M. Milanese , Nuno F. Loureiro

Using a perturbative approach, an evolution equation for the space charge density, correct up to the third order, is deduced for arbitrary initial density profiles of the electron and ion fluids in a cold nonrelativistic plasma. The…

Plasma Physics · Physics 2024-10-10 Subhasish Bag , Vikrant Saxena

Three dimensional nonlinear wave interactions have been analytically described. The procedure under interest can be applied to three dimensional quasilinear systems of first order, whose hydrodynamic reductions are homogeneous…

Exactly Solvable and Integrable Systems · Physics 2016-12-02 C. Curró , N. Manganaro , M. V. Pavlov

A new approach of using distributed transmission line analogy for solving transport equations for ballistic nanostructures is applied for solving the three dimensional problem of the electron transport in gated ballistic nanostructures with…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 G. R. Aizin , J. Mikalopas , M. Shur

A representation of the static MHD equilibrium system in coordinates connected with magnetic surfaces is suggested. It is used for producing families of non-trivial 3D exact solutions of isotropic and anisotropic plasma equilibria in…

Mathematical Physics · Physics 2007-05-23 Alexei F. Cheviakov

Solutions of the linearized Vlasov-Poisson equations for the electric field radiated by a time varying point charge in a three-dimensional, unbounded, spatially homogeneous plasma with a uniform background magnetic field and a uniform…

Plasma Physics · Physics 2015-06-04 John J. Podesta

The dynamics of the radial envelope of a weak coherent drift wave is approximately governed by a nonlinear Schr\"odinger equation, which emerges as a limit of the modified Hasegawa-Mima equation. The nonlinear Schr\"odinger equation has…

Plasma Physics · Physics 2019-05-24 Yao Zhou , Hongxuan Zhu , I. Y. Dodin

Propagation of ion-acoustic solitary waves (IASWs) is studied using the hydrodynamic equations coupled with the Poisson equation in a warm plasma consisting of adiabatic ions and superthermal (Kappa distributed) electrons in presence of an…

Plasma Physics · Physics 2012-04-19 A. R. Esfandyari-Kalejahi , E. Saberian

Fast camera imaging is used to study ion acoustic waves propagating azimuthally in a magnetized plasma column. The high speed image sequences are analyzed using Proper Orthogonal Decomposition and 2D Fourier Transform, allowing to evaluate…

Plasma Physics · Physics 2023-02-01 Simon Vincent , Vincent Dolique , Nicolas Plihon

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…

We consider the one-dimensional dynamics of nonlinear non-dispersive waves. The problem can be mapped onto a linear one by means of the hodograph transform. We propose an approximate scheme for solving the corresponding Euler-Poisson…

Pattern Formation and Solitons · Physics 2020-06-09 M. Isoard , N. Pavloff , A. M. Kamchatnov

Using previously developed method of two-dimensional Laplace transform we obtain the characteristic equations k(\omega) for electromagnetic waves in low-collision fully ionized plasma of a plane geometry. We apply here a new, different from…

Plasma Physics · Physics 2007-05-23 V. N. Soshnikov

Properties of modified plasma waves in non-linear electrodynamics are investigated. We consider a cold, uniform, collisionless, and magnetized plasma model. Initially, we also assume small amplitude waves and the non-relativistic…

Plasma Physics · Physics 2023-06-27 Leonardo P. R. Ospedal , Fernando Haas
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