Abstract
Extreme waves occur in many scientific and social contexts, from hydrodynamics and oceanography to geophysics, plasma physics, Bose-Einstein condensates, financial markets and nonlinear optics. A typical example of rogue wave is the sudden appearance in the open sea of an isolated giant wave, whose height and steepness are much larger than the average sea values. A universal model for the dynamics of rogue waves is the one-dimensional nonlinear Schrödinger (NLS) equation in the self-focusing regime [1]. The mechanism leading to the generation of NLS rogue waves requires nonlinear interaction and modulation instability (MI) of the continuous wave (CW) background. Indeed, the nonlinear development of MI may be described by families of exact solutions such as the Akhmediev breathers. A special member of this solution family is the Peregrine soliton [2], which describes a wave that appears from nowhere and disappears without a trace. The Peregrine soliton was only recently experimentally observed in optical fibers [3].
© 2015 IEEE
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