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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  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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https://hal.archives-ouvertes.fr/hal-01884308
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Submitted on : Sunday, September 30, 2018 - 5:19:19 PM
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Gang Xu, Kamal Hammani, Amin Chabchoub, John Dudley, Bertrand Kibler, et al.. Phase evolution of Peregrine-like breathers in optics and hydrodynamics. Physical Review E , American Physical Society (APS), 2019, 99, pp.012207. ⟨10.1103/PhysRevE.99.012207⟩. ⟨hal-01884308⟩

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