RT Journal Article T1 Relativistic breather-type solitary waves with linear polarization in cold plasmas A1 Sánchez Arriaga, Gonzalo A1 Siminos, E. A1 Saxena, V. A1 Kourakis, I. AB 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 Omega(min) < Omega < omega(pe), where omega(pe) and Omega(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 Omega 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. PB American Physical Society SN 1539-3755 YR 2015 FD 2015-03-05 LK https://hdl.handle.net/10016/27215 UL https://hdl.handle.net/10016/27215 LA eng NO This work was partially supported by Ministerio de Economía y Competitividad of Spain (Grant No. ENE2011-28489). DS e-Archivo RD 1 sept. 2024