Nonlinear Ocean Waves and the Inverse Scattering Transform

By A. Osborne. 2010

545 citations recorded by the source corpus.

Subfields: Oceanography, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cfeb95358eb85456b6eed67a79434cadeb59074f

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In Oceanography

In Statistical and Nonlinear Physics

Citations in the corpus

Rogue waves and analogies in optics and oceanography (2019, background): “lso new potential areas of overlap between optics and hydrodynamics from the perspective of data analysis. For example, complementing eorts that are developing approaches to deterministic prediction [35, 170], an important emerging area of research in both optics and oceanography is the application ”
Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics (2014, background): “, breathers solutions [517,518,501,519,502], or more specifically their limiting cases of infinite spatial and temporal periods, the rational soliton solutions [520,521].”
On Oceanic Rogue Waves (2015, background): “-trough height H =25:6 m (H=H s =2:15) (Haver 2004; Magnusson and Donelan 2013). In the last decade, the properties of the Draupner and Andrea waves have been extensively studied (Dysthe et al. 2008; Osborne 2010; Magnusson and Donelan 2013; Bitner-Gregersen et al. 2014; Dias et al. 2015) and refere”
Instabilities, breathers and rogue waves in optics (2014, background): “a, Analytical SFB solutions of equation (2) for varying parameter a.”
Superregular breathers in optics and hydrodynamics: Omnipresent modulation instability beyond simple periodicity (2015, methodology): “At a specific distance, the temporal variation of the envelope can be easily reconstructed from the surface measurements, by use of the Hilbert transform [23].”
Roadmap on optical rogue waves and extreme events (2016, background): “For that reason and their ‘pulsating’ and localization properties, these unstable wave structures were originally considered as the simplest nonlinear prototypes of famous hydrodynamic rogue waves [95, 96].”
Rogue wave triplets (2011, background): “Rogue waves are in their emerging state of research [1–3].”
Nonlinear Fourier Transform for Optical Data Processing and Transmission: Advances and Perspectives (2017, methodology): “For the second stage, which is to construct the Riemann theta functions (20) using the Riemann spectrum, in addition to the symbolic implementations [97,98], some “hyper-fast” algorithms for the numerical reconstruction of special classes of signals were proposed [93].”