@article{3059368,
    title = "Electromagnetic rogue waves in beam-plasma interactions",
    author = "Veldes, G.P. and Borhanian, J. and McKerr, M. and Saxena, V. and Frantzeskakis, D.J. and Kourakis, I.",
    journal = "Journal of Optics (United Kingdom)",
    year = "2013",
    volume = "15",
    number = "6",
    publisher = "IOP Publishing Ltd",
    doi = "10.1088/2040-8978/15/6/064003",
    keywords = "Electromagnetic pulse;  Laser beams;  Laser produced plasmas;  Maxwell equations;  Nonlinear equations;  Solitons, breathers;  Circularly polarized;  Electromagnetic pulse propagation;  Laser-plasma interactions;  Magnetized plasmas;  Multiscale technique;  Plasma frequencies;  Rogue waves, Beam plasma interactions",
    abstract = "The occurrence of rogue waves (freak waves) associated with electromagnetic pulse propagation interacting with a plasma is investigated, from first principles. A multiscale technique is employed to solve the fluid Maxwell equations describing weakly nonlinear circularly polarized electromagnetic pulses in magnetized plasmas. A nonlinear Schrödinger (NLS) type equation is shown to govern the amplitude of the vector potential. A set of non-stationary envelope solutions of the NLS equation are considered as potential candidates for the modeling of rogue waves (freak waves) in beam-plasma interactions, namely in the form of the Peregrine soliton, the Akhmediev breather and the Kuznetsov-Ma breather. The variation of the structural properties of the latter structures with relevant plasma parameters is investigated, in particular focusing on the ratio between the (magnetic field dependent) cyclotron (gyro-)frequency and the plasma frequency. © 2013 IOP Publishing Ltd."
}