Persistence of hydrodynamic envelope solitons: detection and rogue wave occurrence

Abstract

The observation of a wave group persisting for more than 200 periods in the direct numerical simulation of nonlinear unidirectional irregular water waves in deep water is discussed. The simulation conditions are characterized by parameters realistic for broad-banded waves in the sea. The group is identified by the solution of the associated scattering problem for the nonlinear Schrödinger equation as the intense envelope soliton with remarkably stable parameters. Most of extreme waves occur on top of this group, resulting in higher and longer rogue wave events.

References in corpus (9)

• Freak Waves in Random Oceanic Sea States
• Experimental evidence of a hydrodynamic soliton gas
• Nonlinear spectral synthesis of soliton gas in deep-water surface gravity waves
• Simulations and experiments of short intense envelope solitons of surface water waves
• Laboratory and numerical study of intense envelope solitons of water waves: generation, reflection from a wall and collisions
• Effect of local Peregrine soliton emergence on statistics of random waves in the 1-D focusing Nonlinear Schrödinger equation
• Rogue events in spatio-temporal numerical simulations of unidirectional waves in basins of different depth
• Extreme waves in crossing sea states
• Rogue waves with rational profiles in unstable condensate and its solitonic model

Cited by in corpus (6)

• Soliton gas in integrable dispersive hydrodynamics
• Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet
• Transformation of envelope solitons on a bottom step
• Modulation of electromagnetic waves in a relativistic degenerate plasma at finite temperature
• Bound-state soliton gas as a limit of adiabatically growing integrable turbulence
• Galilean-transformed solitons and supercontinuum generation in dispersive media