title: Breather turbulence versus soliton turbulence: Rogue waves, probability density functions, and spectral features.
abstract: Turbulence in integrable systems exhibits a noticeable scientific advantage: it can be expressed in terms of the nonlinear modes of these systems. Whether the majority of the excitations in the system are breathers or solitons defines the properties of the turbulent state. In the two extreme cases we can call such states "breather turbulence" or "soliton turbulence." The number of rogue waves, the probability density functions of the chaotic wave fields, and their physical spectra are all specific for each of these two situations. Understanding these extreme cases also helps in studies of mixed turbulent states when the wave field contains both solitons and breathers, thus revealing intermediate characteristics.
authors.affiliation: Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia.
authors.forename: N
authors.initials: N
authors.lastname: Akhmediev
authors.affiliation: Instituto de Óptica, C.S.I.C., Serrano 121, 28006 Madrid, Spain.
authors.forename: J M
authors.initials: JM
authors.lastname: Soto-Crespo
authors.affiliation: Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia.
authors.forename: N
authors.initials: N
authors.lastname: Devine