Modulation instability of Stokes wave → freak wave

By A. Dyachenko, Vladimir E Zakharov. 2005

157 citations recorded by the source corpus.

Subfields: Earth-Surface Processes, Oceanography

View Paper: https://www.semanticscholar.org/paper/bf62dea0c90b98eb927b9285ba1863bca13f69d1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Earth-Surface Processes

1. Frédéric Dias
2. Stephan T. Grilli

In Oceanography

1. Frédéric Dias
2. Stephan T. Grilli
3. John M. Dudley
4. Goëry Genty
5. Miro Erkintalo
6. V. Zakharov

Citations in the corpus

• Freak waves as nonlinear stage of Stokes wave modulation instability (2006, background): “[47,58] the nonlinear stage of modulation instability for Stokes waves of steepness μ = ka 0.”
• Numerical modeling of extreme rogue waves generated by directional energy focusing (2007, background): “This energy focusing, in addition to a ‘‘natural’’ occurrence through self-focusing (sideband instability [1,36,52,18], see below), may be due or reinforced by multiple factors, such as an opposing current [43], bottom topography in shallow water [33], frequential [8] and/or directional focusing [6,”
• Instabilities, breathers and rogue waves in optics (2014, result): “from noise results in a series of high-contrast peaks of random intensity [17,18], and it is these localised peaks that have been compared with similar structures seen in studies of ocean rogue waves [2,19,20]. Significantly, the MI growth and decay dynamics in the NLSE have exact solutions in the f”