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A method for solving a quasilinear nonelliptical equation of the second order is developed and we give classification and parametrization of simple elements of the equation.We find exact solutions of an equation for potential stationary…

General Physics · Physics 2016-12-01 M. W. Kalinowski

We propose a new method for analytical self-consistent description of the excitation of a strongly nonlinear wakefield (a bubble) excited by an electron bunch. This method makes it possible to calculate the shape of the bubble and the…

Plasma Physics · Physics 2021-07-07 A. A. Golovanov , I. Yu. Kostyukov , L. Reichwein , J. Thomas , A. Pukhov

A nonlinear beatwave regime of plasma wave excitation is considered. Two beatwave drivers are considered: intensity-modulated laser pulse and density-modulated (microbunched) electron beam. It is shown that a long beatwave pulse can excite…

Plasma Physics · Physics 2008-11-26 Gennady Shvets

In this work we use the conventional hydrodynamics (HD) formalism and incorporate the Chew-Goldberger-Low (CGL) double-adiabatic theory to evaluate the nonlinear electrostatic ion excitations in double-degenerate (electron spin-orbit…

Fluid Dynamics · Physics 2015-06-05 M. Akbari-Moghanjoughi

The nonlinear evolution of the quantum two-stream instability in a plasma with counter-streaming electron beams is studied. It is shown that in the long-wave limit the nonlinear stage of the instability can be described by the elliptic…

Pattern Formation and Solitons · Physics 2020-08-03 V. M. Lashkin

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…

Plasma Physics · Physics 2015-03-11 G. Sánchez-Arriaga , E. Siminos , V. Saxena , I. Kourakis

We report here an exact analytical travelling wave solution for nonlinear electron plasma wave excited by an intense ultra-relativistic proton beam. It brings out the underlying physics of longitudinal electric field characteristics of the…

Plasma Physics · Physics 2020-04-06 Mithun Karmakar , Bhavesh Patel , Nikhil Chakrabarti , Sudip Sengupta

We investigate plasma wake generation via Compton scattering from photon bursts, a non-ponderomotive process relevant when the photon wavelength is smaller than the interparticle distance but larger than the Compton wavelength. In this…

Plasma Physics · Physics 2026-01-15 Thomas Grismayer , Fabrizio Del Gaudio , Luís O. Silva

The vacuum is expected to exhibit electromagnetic nonlinearity. We demonstrate the properties of nonlinear electromagnetic wave in a two-dimensional rectangular cavity by calculating the nonlinear correction for two classical standing…

Optics · Physics 2022-02-04 Kazunori Shibata

Theoretical and numerical studies are presented of the nonlinear amplitude modulation of dust-acoustic (DA) waves propagating in an unmagnetized three component, weakly-coupled, fully ionized plasma consisting of electrons, positive ions…

Plasma Physics · Physics 2009-11-10 I. Kourakis , P. K. Shukla

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…

Mesoscale and Nanoscale Physics · Physics 2022-05-20 A. A. Zabolotnykh

Considering the popularity of two-dimensional particle-in-cell simulations, a 2D model of plasma wakefield in the strongly nonlinear (bubble) regime in transversely non-uniform plasma is developed. A differential equation for the boundary…

Plasma Physics · Physics 2018-11-15 A. A. Golovanov , I. Yu. Kostyukov

Nonlinear interaction of a low density electron beam with a uniform plasma is studied using two-dimensional particle-in-cell (PIC) simulations. We focus on formation of coherent phase space structures in the case, when a wide…

Plasma Physics · Physics 2012-05-21 I. V. Timofeev

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

We demonstrate theoretically and numerically that a warm fluid model of a plasma supports space-time quasicrystalline structures. These structures are highly nonlinear, two-phase, ion acoustic waves that are excited autoresonantly when the…

Plasma Physics · Physics 2022-05-26 Vadim R. Munirov , Lazar Friedland , Jonathan S. Wurtele

In this article, we use the general theory derived in the companion paper [M. Tacu and D. B\'enisti, Phys. Plasmas (2021)] in order to address several long-standing issues regarding nonlinear electron plasma waves (EPW's). First, we discuss…

Plasma Physics · Physics 2022-05-25 D. Bénisti , D. F. G. Minenna , M. Tacu , A. Debayle , L. Gremillet

We present a method for constructing multiphase excitations in the generally non-integrable system of warm fluid equations describing plasma oscillations. It is based on autoresonant excitation of nonlinear electron plasma waves by phase…

Plasma Physics · Physics 2022-11-04 Vadim R. Munirov , Lazar Friedland , Jonathan S. Wurtele

Non-linear wave-driven processes in plasmas are normally described by either a monochromatic pump wave that couples to other monochromatic waves, or as a random phase wave coupling to other random phase waves. An alternative approach…

Plasma Physics · Physics 2014-02-27 R. M. G. M. Trines , L. O. Silva , J. T. Mendonça , W. B. Mori , P. A. Norreys , R. Bingham

The wake field excitation in an unmagnetized plasma by a multi-petawatt, femtosecond, pancake-shaped laser pulse is described both analytically and numerically in the regime with ultrarelativistic electron jitter velocities, when the plasma…

Plasma Physics · Physics 2016-11-25 D. Jovanovic , R. Fedele , M. Belic

We consider theoretically the nonlinear quantized Thouless pumping of a Bose-Einstein condensate loaded in a two-dimensional dynamical optical lattices. We encountered three different scenarios of the pumping: quasi-linear one occurring for…

Pattern Formation and Solitons · Physics 2022-10-26 Qidong Fu , Peng Wang , Yaroslav V. Kartashov , Vladimir V. Konotop , Fangwei Ye