Tracking Breather Dynamics in Irregular Sea State Conditions

Area of Science:

• Nonlinear physics
• Oceanography
• Wave dynamics

Background:

• Breather solutions of the nonlinear Schrödinger equation (NLSE) model extreme events in oceanic and Kerr media.
• These solutions, like the Peregrine breather, serve as deterministic rogue wave (RW) prototypes on regular backgrounds, explaining modulation instability.
• Extreme waves can also emerge from chaotic wave fields.

Purpose of the Study:

• To experimentally confirm that extreme localizations in irregular oceanic wave fields originate from exact NLSE breather solutions.
• To validate the predictive power of weakly nonlinear evolution equations for extreme events.

Main Methods:

• Experimental study of oceanic wave fields.
• Numerical simulations using the nonlinear Schrödinger equation (NLSE) and modified NLSE.
• Comparison of experimental data with numerical simulations.

Main Results:

• Experimental evidence confirmed that extreme localizations in irregular oceanic wave fields can be traced back to NLSE breather solutions.
• Numerical NLSE and modified NLSE simulations showed good agreement with laboratory experiments.
• The study highlights the role of universal weakly nonlinear evolution equations in the formation and prediction of extreme events.

Conclusions:

• NLSE breather solutions are fundamental to understanding extreme wave events, even in chaotic systems.
• Weakly nonlinear evolution equations are significant for predicting extreme events in nonlinear dispersive media.
• The findings bridge theoretical models with experimental observations in ocean wave dynamics and nonlinear optics.