@Article{LópezAseMuñChiVal:2013:SeNoAl,
               author = "L{\'o}pez, Rodrigo A. and Asenjo, Felipe A. and Muñoz, 
                         V{\'{\i}}ctor and Chian, Abraham Chian Long and Valdivia, J. 
                         A.",
          affiliation = "Departamento de F{\'{\i}}sica, Facultad de Ciencias, Universidad 
                         de Chile, Santiago, Chile and Institute for Fusion Studies, 
                         University of Texas at Austin, Austin, TX, United States and 
                         Departamento de F{\'{\i}}sica, Facultad de Ciencias, Universidad 
                         de Chile, Santiago, Chile and {Instituto Nacional de Pesquisas 
                         Espaciais (INPE)} and Departamento de F{\'{\i}}sica, Facultad de 
                         Ciencias, Universidad de Chile, Santiago, Chile; Centro Para El 
                         Desarrollo de la Nanociencia y la Nanotecnolog{\'{\i}}a, 
                         CEDENNA, Santiago, Chile; Centro de Estudios Interdisciplinarios 
                         B{\'a}sicos y Aplicados en Complejidad, CEIBA Complejidad, 
                         Bogot{\'a}, Colombia",
                title = "Self-modulation of nonlinear Alfv{\'e}n waves in a strongly 
                         magnetized relativistic electron-positron plasma",
              journal = "Physical Review E",
                 year = "2013",
               volume = "88",
               number = "2",
                pages = "023105 (1--8)",
                month = "Aug.",
             keywords = "anomalous dispersion, circularly polarized, dispersion relations, 
                         electron-positron plasma, finite temperatures, initial conditions, 
                         modulational instability, nonlinear wave equation, dispersion 
                         (waves), dispersions, modulation, nonlinear analysis, positrons, 
                         solitons, wave propagation, nonlinear equations.",
             abstract = "We study the self-modulation of a circularly polarized Alfv{\'e}n 
                         wave in a strongly magnetized relativistic electron-positron 
                         plasma with finite temperature. This nonlinear wave corresponds to 
                         an exact solution of the equations, with a dispersion relation 
                         that has two branches. For a large magnetic field, the Alfv{\'e}n 
                         branch has two different zones, which we call the normal 
                         dispersion zone (where d\ω/dk>0) and the anomalous 
                         dispersion zone (where d\ω/dk<0). A nonlinear 
                         Schr{\"o}dinger equation is derived in the normal dispersion zone 
                         of the Alfv{\'e}n wave, where the wave envelope can evolve as a 
                         periodic wave train or as a solitary wave, depending on the 
                         initial condition. The maximum growth rate of the modulational 
                         instability decreases as the temperature is increased. We also 
                         study the Alfv{\'e}n wave propagation in the anomalous dispersion 
                         zone, where a nonlinear wave equation is obtained. However, in 
                         this zone the wave envelope can evolve only as a periodic wave 
                         train.",
                  doi = "10.1103/PhysRevE.88.023105",
                  url = "http://dx.doi.org/10.1103/PhysRevE.88.023105",
                 issn = "1539-3755",
                label = "scopus 2013-11",
             language = "en",
           targetfile = "PhysRevE.88.023105.pdf",
        urlaccessdate = "11 maio 2024"
}