Transformation of the Peregrine Breather Into Gray Solitons on a Vertically Sheared Current [PDF]
Frontiers in Physics, 2021 In this Brief Research Report, we show, within the framework of the nonlinear Schrödinger equation in deep water and in the presence of vorticity (vor-NLS), that the Peregrine breather traveling at the free surface of a shear current of slowly varying ...
H. C. Hsu +3 more
doaj +4 more sources
A Peregrine Soliton-Like Structure That Has Nothing to Deal With a Peregrine Breather [PDF]
Frontiers in Physics, 2021 We report on experimental results where a temporal intensity profile presenting some of the main signatures of the Peregrine soliton (PS) is observed.
Christophe Finot
exaly +6 more sources
Frontiers in Physics, 2022 A class of generalized homoclinic solutions of the nonlinear Schrödinger (NLS) equation in 1+1 dimensions is studied. These are homoclinic breathers that are shown to be derivable from the ratio of Riemann theta functions for the genus-2 solutions of ...
Alfred R Osborne
exaly +4 more sources
Review on the Stability of the Peregrine and Related Breathers [PDF]
Frontiers in Physics, 2020 In this note, we review stability properties in energy spaces of three important nonlinear Schrödinger breathers: Peregrine, Kuznetsov-Ma, and Akhmediev.
Miguel Alejo +2 more
exaly +7 more sources
Phase Evolution of the Time- and Space-Like Peregrine Breather in a Laboratory [PDF]
Fluids, 2021 Coherent wave groups are not only characterized by the intrinsic shape of the wave packet, but also by the underlying phase evolution during the propagation.
Pierre Suret +2 more
exaly +4 more sources
Breather Structures and Peregrine Solitons in a Polarized Space Dusty Plasma [PDF]
Frontiers in Physics, 2020 In this theoretical investigation, we have examined the combined effects of nonthermally revamped polarization force on modulational instability MI of dust acoustic waves DAWs and evolution of different kinds of dust acoustic (DA) breathers in a dusty ...
Kuldeep Singh, Nareshpal Singh Saini
exaly +4 more sources
The Peregrine Breather on the Zero-Background Limit as the Two-Soliton Degenerate Solution: An Experimental Study [PDF]
Frontiers in Physics, 2021 Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates.
Nail Akhmediev +2 more
exaly +8 more sources
Peregrine Soliton as a Limiting Behavior of the Kuznetsov-Ma and Akhmediev Breathers [PDF]
Frontiers in Physics, 2021 This article discusses a limiting behavior of breather solutions of the focusing nonlinear Schrödinger equation. These breathers belong to the family of solitons on a non-vanishing and constant background, where the continuous-wave envelope serves as a ...
Natanael Karjanto
doaj +3 more sources
Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balance [PDF]
Scientific Reports, 2023 We analyze the dynamics of modulation instability in optical fiber (or any other nonlinear Schrödinger equation system) using the machine-learning technique of data-driven dominant balance.
Andrei V. Ermolaev +4 more
doaj +2 more sources
Rogue waves: from nonlinear Schrödinger breather solutions to sea-keeping test. [PDF]
PLoS ONE, 2013 Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now ...
Miguel Onorato +3 more
doaj +2 more sources