Results 21 to 30 of about 40,524 (142)
Spectral properties of the Peregrine soliton observed in a water wave tank [PDF]
The Peregrine soliton, which is commonly considered to be a prototype of a rogue wave in deep water, is observed and measured in a wave tank. Using the measured data of water elevation, we calculated the spectra of the Peregrine soliton and confirmed ...
Chabchoub, Amin +3 more
core +4 more sources
Transformation of the Peregrine Breather Into Gray Solitons on a Vertically Sheared Current [PDF]
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 vorticity may transform into gray solitons.
Kharif, Chistian +3 more
openaire +3 more sources
This study reviews the Peregrine solitons appearing under the framework of a class of nonlinear Schrödinger equations describing the diverse nonlinear systems.
T. Uthayakumar +2 more
doaj +1 more source
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
doaj +1 more source
The Peregrine soliton is an exact, rational, and localized solution of the nonlinear Schrödinger equation and is commonly employed as a model for rogue waves in physical sciences.
Ning N. Peng, Tin L. Chiu, Kwok W. Chow
doaj +1 more source
Evolution of Water Wave Groups in the Forced Benney–Roskes System
For weakly nonlinear waves in one space dimension, the nonlinear Schrödinger Equation is widely accepted as a canonical model for the evolution of wave groups described by modulation instability and its soliton and breather solutions.
Montri Maleewong, Roger H. J. Grimshaw
doaj +1 more source
Breatherlike solitons extracted from the Peregrine rogue wave [PDF]
7 pages, 8 figures, Phys.Rev.E, in ...
Yang, Guangye +5 more
openaire +3 more sources
The Peregrine Soliton Observed At Last
Nonlinear optics allows us to generate sources in new spectral regions and to provide increased signal propagation capability.
Kibler, Bertrand +10 more
openaire +2 more sources
Dissipative peregrine solitons in fiber lasers
Abstract We show both numerically and experimentally that a dissipative type of Akhmediev-breathers (ABs) and Peregrine solitons (PSs) can be formed in a fiber laser, and their features could be well described by the laser Ginzburg-Landau equation.
X Hu +5 more
openaire +1 more source
Resonant radiation from Peregrine solitons
We investigate the phenomenon of resonant radiation emitted by Peregrine solitons. We show that, unlike bright or dark solitons of the nonlinear Schrödinger equation, the radiation process is affected by the intrinsic local longitudinal variation of the soliton wavenumber.
Fabio Baronio +2 more
openaire +2 more sources

