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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

A numerical fluid simulation investigation of the temporal evolution of a special class of traveling wave solution of the one dimensional relativistic cold plasma model is reported.The solutions consist of coupled electromagnetic and plasma…

Plasma Physics · Physics 2009-11-11 Vikrant Saxena , Amita Das , Abhijit Sen , Predhiman Kaw

Nonlinear and low-frequency solitary waves are investigated in the framework of the one-dimensional Hall-magnetohydrodynamic model with finite Larmor effects and a double adiabatic model for plasma pressures. The organization of these…

Plasma Physics · Physics 2019-02-13 E. Bello-Benítez , G. Sánchez-Arriaga , T. Passot , D. Laveder , E. Siminos

Relativistic solitons are self-trapped, finite size, electromagnetic waves of relativistic intensity that propagate without diffraction spreading. They have been predicted theoretically within the relativistic fluid approximation, and have…

Plasma Physics · Physics 2015-06-26 Daniela Farina , Sergei V. Bulanov

Propagation of Langmuir solitons in inhomogeneous plasmas is investigated numerically. Through numerical simulation solving Zakharov equations, the solitons are accelerated toward the low density side. As a consequence, isolated cavities…

Plasma Physics · Physics 2017-03-29 Y. A. Chen , Y. Nishimura , Y. Nishida , C. Z. Cheng

Solitary electromagnetic waves propagating along the waveguides forming a rhombic one-dimensional lattice are considered. Two waveguides that are part of the unit cell are assumed to be made of an optical linear material, while the third…

Pattern Formation and Solitons · Physics 2020-12-30 A. I. Maimistov , E. I. Lyashko , E. O. Elyutin

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

The model we deal with is the mathematical model for mutually penetrating continua one of which is the carrying medium obeying the wave equation whereas the other one is the oscillating inclusion described by the equation for oscillators.…

Pattern Formation and Solitons · Physics 2015-12-17 Sergii Skurativskyi , Vjacheslav Danylenko

We found the self-similar solitary solutions of a recently proposed model for propagation of pulses in gas filled hollow-core photonic crystal fibers that includes a plasma induced nonlinearity. As anticipated for a simpler model and using…

Optics · Physics 2013-10-21 M. Facao , M. I. Carvalho , P. Almeida

The existence of localized electromagnetic structures is discussed in the framework of the 1-dimensional relativistic Maxwell-fluid model for a cold plasma with immobile ions. New partially localized solutions are found with a…

Plasma Physics · Physics 2017-04-20 G. Sánchez-Arriaga , E. Siminos

In this work, a systematic study, examining the propagation of periodic and solitary wave along the magnetic field in a cold collision-free plasma, is presented. Employing the quasi-neutral approximation and the conservation of momentum…

Pattern Formation and Solitons · Physics 2020-10-28 G. Abbas , P. G. Kevrekidis , J. E. Allen , V. Koukouloyannis , D. J. Frantzeskakis , N. Karachalios

We investigate the dynamics of localized solutions of the relativistic cold fluid plasma model in the small but finite amplitude limit, for slightly overcritical plasma density. Adopting a multiple scale analysis, we derive a perturbed…

Plasma Physics · Physics 2014-12-11 E. Siminos , G. Sánchez-Arriaga , V. Saxena , I. Kourakis

The nonlinear propagation of small amplitude ion acoustic solitary wave in relativistic degenerate magneto plasma in presence of ion beam is investigated in detail. The nonlinear equations describing the evolution of solitary wave in…

Plasma Physics · Physics 2018-01-09 M. K. Deka , A. N. Dev , A. P. Misra , N. C. Adhikary

We demonstrate that nonlinear decay of obliquely propagating Langmuir waves into Langmuir and Alfven waves (L --> L'+A) is possible in a one-dimensional, highly relativistic, streaming, pair plasma. Such a plasma may be in the…

Astrophysics · Physics 2009-11-13 G. Gogoberidze , G. Z. Machabeli , V. V. Usov

The longitudinal dynamics of a resonantly driven Langmuir wave are analyzed in the limit that the growth of the electrostatic wave is slow compared to the bounce frequency. Using simple physical arguments, the nonlinear distribution…

Plasma Physics · Physics 2009-11-13 R. R. Lindberg , A. E. Charman , J. S. Wurtele

The nature of traveling wave solutions to equations of hydrodynamics of a generic three-dimensional electron gas with parabolic dispersion law depends on whether the motion is subsonic or supersonic. Solitons representing localized…

Plasma Physics · Physics 2018-08-15 Eugene B. Kolomeisky

Systems of solitary-waves in the 1D Gross-Pitaevskii equation, which models a trapped atomic Bose-Einstein condensate, are investigated theoretically. To analyse the soliton-like nature of these solitary-waves, a particle analogy for the…

Other Condensed Matter · Physics 2008-11-17 A. D. Martin , C. S. Adams , S. A. Gardiner

We study the existence of solitary-wave solutions and some of their properties for a general multicomponent long-wave-short-wave interaction system. The system considered here describes the nonlinear interaction of multiple short waves with…

Analysis of PDEs · Mathematics 2015-09-01 Santosh Bhattarai

The novel thermally degenerate plasma model (based on a system containing relativistically and thermally degenerate inertial-less electron species, non-relativistically and thermally degenerate inertial light nucleus species, and stationary…

Plasma Physics · Physics 2020-10-28 A. A. Mamun , J. Akter

The equations describing planar magnetoacoustic waves of permanent form in a cold plasma are rewritten so as to highlight the presence of a naturally small parameter equal to the ratio of the electron and ion masses. If the magnetic field…

Plasma Physics · Physics 2021-05-07 G. Rowlands , M. A. Allen
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