Phase evolution of Peregrine-like breathers in optics and hydrodynamics

Abstract

We present a detailed study of the phase properties of rational breather waves observed in the hydrodynamic and optical domains, namely the Peregrine soliton and related second-order solution. At the point of maximum compression, our experimental results recorded in a wave tank or using an optical fiber platform reveal a characteristic phase shift that is multiple of $\pi$ between the central part of the pulse and the continuous background, in agreement with analytical and numerical predictions. We also stress the existence of a large longitudinal phase shift across the point of maximum compression.

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Cited by in corpus (6)

• Observation of modulation instability and rogue breathers on stationary periodic waves
• Topological Control of Extreme Waves
• Experimental realization of Fermi-Pasta-Ulam-Tsingou recurrence in a long-haul optical fiber transmission system
• Rogue waves with rational profiles in unstable condensate and its solitonic model
• Trajectory control in idealized four-wave mixing processes in optical fiber
• Peregrine solitons and resonant radiation in cubic and quadratic media