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We study the nonlinear wave equation with a sign-changing potential in any space dimension. If the potential is small and rapidly decaying, then the existence of small-amplitude solutions is driven by the nonlinear term. If the potential…

Analysis of PDEs · Mathematics 2007-05-23 Paschalis Karageorgis

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…

Plasma Physics · Physics 2010-05-28 A. A. Skorupski , E. Infeld

We predict the existence of new nonlinear electromagnetic wave modes in pair plasmas. The plasma may be either non-magnetized or immersed in an external magnetic field. The existence of these modes depends on the interaction of an intense…

Plasma Physics · Physics 2007-05-23 Mattias Marklund , Padma K. Shukla , Gert Brodin , Lennart Stenflo

A theoretical study is presented for the propagation of Dust Ion Acoustic Waves in an unmagnetized four-component plasma, consisting of Maxwellian negative ions, cold mobile positive ions, $\kappa$-distributed electrons and positively…

Plasma Physics · Physics 2021-02-03 Anjana Sinha , Biswajit Sahu

The nonlinear amplitude modulation of known electrostatic plasma modes is examined in a generic manner, by applying a collisionless fluid model. Both cold (zero-temperature) and warm fluid descriptions are discussed and the results are…

Plasma Physics · Physics 2007-05-23 Ioannis Kourakis , Padma Kant Shukla

Nonlinear excitations of nuclear density are considered in the framework of semiclassical nonlinear nuclear hydrodynamics. Possible types of stationary nonlinear waves in nuclear media are analysed using Nonlinear Schroedinger equation of…

Nuclear Theory · Physics 2009-10-31 V. G. Kartavenko , A. Sandulescu , W. Greiner

In this paper, we provide a theoretical description, and calculate, the nonlinear frequency shift, group velocity and collionless damping rate, $\nu$, of a driven electron plasma wave (EPW). All these quantities, whose physical content will…

Plasma Physics · Physics 2009-10-29 Didier Bénisti , Olivier Morice , Laurent Gremillet , David J. Strozzi

Wakefield excitation by a single relativistic electron bunch in a plasma-dielectric accelerating structure has been studied both analytically and numerically. The structure represents a dielectric-loaded cylindrical metal waveguide, which…

Accelerator Physics · Physics 2023-11-30 K. V. Galaydych , P. I. Markov , G. V. Sotnikov

A theory that describes how to load negative charge into a nonlinear, three-dimensional plasma wakefield is presented. In this regime, a laser or an electron beam blows out the plasma electrons and creates a nearly spherical ion channel,…

Plasma Physics · Physics 2010-05-25 M. Tzoufras , W. Lu , F. S. Tsung , C. Huang , W. B. Mori , T. Katsouleas , J. Vieira , R. A. Fonseca , L. O. Silva

The generalized equation for the study of two-component nonlinear waves in different fields of physics is considered. In special cases, this equation is reduced to a set of the various well-known equations describing nonlinear solitary…

Pattern Formation and Solitons · Physics 2024-07-02 G. T. Adamashvili

Using the high temperature approximation we study, within the linear response theory, the wake in the quark-gluon plasma by a fast parton owing to dynamical screening in the space like region. When the parton moves with a speed less than…

High Energy Physics - Phenomenology · Physics 2008-11-26 Purnendu Chakraborty , Munshi G. Mustafa , Markus H. Thoma

A double pair plasma system containing cold inertial positive and negative ions, and inertialess super-thermal electrons and positrons is considered. The standard nonlinear Schr\"{o}dinger equation is derived by using the reductive…

Plasma Physics · Physics 2019-04-16 N. K. Tamanna , N. A. Chowdhury , A. Mannan , A. A. Mamun

We consider soliton solutions of a two-dimensional nonlinear system with the self-focusing nonlinearity and a quasi-1D confining potential, taking harmonic potential as an example. We investigate a single soliton in detail and find…

Pattern Formation and Solitons · Physics 2015-05-13 Nguyen Viet Hung , Michal Matuszewski , Marek Trippenbach

Head-on collision of laser-induced plasma wakefields with differing profiles of electrostatic potential has been recently found to be an efficient mechanism for generating high-power electromagnetic emission at the second harmonic of the…

Plasma Physics · Physics 2021-02-24 E. Volchok , V. Annenkov , I. Timofeev

The excitation of nonlinear wave structures in a dusty plasma caused by a moving external charge perturbation is examined in this work, which uses a 1-D flux corrected transport simulation. The plasma responds uniquely to different nature…

Plasma Physics · Physics 2023-08-15 Hitendra Sarkar , Madhurjya P. Bora

A rigorous and most general covariant kinetic formalism is developed to study the nonlinear waves interaction in relativistic Vlasov plasmas. The typical nonlinear plasma reaction is a nonlinear current measured by the nonlinear plasma…

Plasma Physics · Physics 2009-11-11 M. Lazar , R. Schlickeiser

We consider the simplest instabilities involving multiple unstable electrostatic plasma waves corresponding to four-dimensional systems of mode amplitude equations. In each case the coupled amplitude equations are derived up to third order…

patt-sol · Physics 2009-10-30 John David Crawford , Edgar Knobloch

An asymmetric pair of coupled nonlinear Schr{\"o}dinger (CNLS) equations has been derived through a multiscale perturbation method applied to a plasma fluid model, in which two wavepackets of distinct carrier wavenumbers and amplitudes are…

Plasma Physics · Physics 2024-03-22 N. Lazarides , Giorgos P. Veldes , D. J. Frantzeskakis , Ioannis Kourakis

A numerical investigation on the spatiotemporal evolution of an electron beam, externally injected in a plasma in the presence of a plasma wake field, is carried out. The latter is driven by an ultra-short relativistic axially-symmetric…

Accelerator Physics · Physics 2016-08-03 F. Tanjia , R. Fedele , S. De Nicola , T. Akhter , D. Jovanovic

Laser wakefield accelerators rely on the extremely high electric fields of nonlinear plasma waves to trap and accelerate electrons to relativistic energies over short distances. When driven strongly enough, plasma waves break, trapping a…

Plasma Physics · Physics 2021-02-24 J. P. Palastro , B. Malaca , J. Vieira , D. Ramsey , T. T. Simpson , P. Franke , J. L. Shaw , D. H. Froula