Akhmediev, NailAnkiewicz, AdrianSoto-Crespo, J.M.Dudley, John M2015-12-100375-9601http://hdl.handle.net/1885/65547We study the spectra of the Peregrine soliton and higher-order rational solutions of the nonlinear Schrödinger equation (NLSE), which we use as a model of the rogue waves in optics and in the deep ocean. We show that these solutions have specific trianguCopyright Information: © 2010 Elsevier B.V.201110.1016/j.physleta.2010.12.0272016-02-24