Akhmediev, N.Soto-Crespo, J. M.Devine, N.Hoffmann, N. P.2015-06-102015-06-100167-2789http://hdl.handle.net/1885/13841We 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.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.© 2014 Elsevier B.V. http://www.sherpa.ac.uk/romeo/issn/0167-2789/..."Authors pre-print on any website, including arXiv and RePEC" from SHERPA/RoMEO site (as at 11/06/15)Sasa–Satsuma equationRogue wavesChaotic wave dynamicsNonlinear wave propagation2015-02-1510.1016/j.physd.2014.11.0062015-12-11