Sánchez Arriaga, GonzaloSiminos, E.Saxena, V.Kourakis, I.2018-08-012018-08-012015-03-05Physical review E, 91 (033102), pp. 1-9Physical review E, 94 (029903), p. 1 (Erratum)1539-3755https://hdl.handle.net/10016/27215Linearly 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.9application/pdftext/xmleng©2015 American Physical Society©2016 American Physical SocietySolitary wavesLinear polarizationCold plasmasRelativistic breather-type solitary waves with linear polarization in cold plasmasresearch articleAeronáuticaFísicahttps://doi.org/10.1103/PhysRevE.91.033102https://doi.org/10.1103/PhysRevE.94.029903open access13(033102)9Physical Review EAR/0000019992