Publisher's Note: Relativistic breather-type solitary waves with linear polarization in cold plasmas [Phys. Rev. E91, 033102 (2015)]

Abstract

Linearly polarized solitary waves, arising from the interaction of an intense laser pulse with a plasma, are investigated. Localized structures, in the form of exact numerical nonlinear solutions of the one-dimensional Maxwell-fluid model for a cold plasma with fixed ions, are presented. Unlike stationary circularly polarized solitary waves, the linear polarization gives rise to a breather-type behavior and a periodic exchange of electromagnetic energy and electron kinetic energy at twice the frequency of the wave. A numerical method based on a finite-differences scheme allows us to compute a branch of solutions within the frequency range min < < ω pe , where ω pe and min are the electron plasma frequency and the frequency value for which the plasma density vanishes locally, respectively. A detailed description of the spatiotemporal structure of the waves and their main properties as a function of is presented. Small-amplitude oscillations appearing in the tail of the solitary waves, a consequence of the linear polarization and harmonic excitation, are explained with the aid of the Akhiezer-Polovin system. Direct numerical simulations of the Maxwell-fluid model show that these solitary waves propagate without change for a long time.

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“…The theoretical investigation of relativistic solitons in electron-ion plasmas is a relatively old problem in plasma physics, which has been researched by many authors in the past. It has recently gained new attention in several studies [1][2][3][4][5][6][7][8][9][10][11][12]. The analyzes have been performed mainly in the framework of the one-dimensional relativistic fluid approximation.…”

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