Extreme waves that appear from nowhere: On the nature of rogue waves |
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Authors: | N. Akhmediev A. Ankiewicz |
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Affiliation: | a Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 0200, Australia b Instituto de Óptica, C.S.I.C., Serrano 121, 28006 Madrid, Spain |
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Abstract: | We have numerically calculated chaotic waves of the focusing nonlinear Schrr?odinger equation (NLSE), starting with a plane wave modulated by relatively weak random waves. We show that the peaks with highest amplitude of the resulting wave composition (rogue waves) can be described in terms of exact solutions of the NLSE in the form of the collision of Akhmediev breathers. |
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