Rogue wave spectra of the Sasa–Satsuma equation

• DOI: 10.1016/j.physd.2014.11.006
• Publication Date: 2014-12-06T06:14:01Z
• Authors: N. Akhmediev; J.M. Soto-Crespo; N. Devine; N.P. Hoffmann
• Keywords: Chaotic wave dynamics; Rogue waves; 0103 physical sciences; Sasa–Satsuma equation; 01 natural sciences; Nonlinear wave propagation

© 2014 Elsevier B.V. All rights reserved. We analyze the rogue wave spectra of the Sasa-Satsuma equation and their appearance in the spectra of chaotic wave fields produced through modulation instability. Chaotic wave fields occasionally produce high peaks that result in a wide triangular spectrum, which could be used for rogue wave detection.<br/>Peer Reviewed<br/>The authors acknowledge the support from the Volkswagen Stiftung. N. D. and N. A. acknowledge the support of the Australian Research Council (Discovery Project DP140100265). N. A. is a recipient of the Alexander von Humboldt Award (Germany). The work of JMSC is supported by the MINECO under contracts FIS2009- 09895 and TEC2012-37958-C02-02, and by C.A.M. under contract S2013/MIT-2790.<br/>6 págs.; 13 figs.<br/>