Results 61 to 70 of about 32,830 (172)

Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation

Abstract and Applied Analysis, 2014
A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed.
Hanlin Chen, Zhenhui Xu, Zhengde Dai
doaj   +1 more source

Matter rogue waves

Physical Review A, 2009
We predict the existence of rogue waves in Bose-Einstein condensates either loaded into a parabolic trap or embedded in an optical lattice. In the latter case, rogue waves can be observed in condensates with positive scattering length. They are immensely enhanced by the lattice. Local atomic density may increase up to tens times. We provide the initial
Bludov, Yuliy V, Konotop, Vladimir, Akhmediev, Nail   +2 more
openaire   +2 more sources

Statistics of vector Manakov rogue waves [PDF]

Physical Review E, 2018
We present a statistical analysis based on the height and return time probabilities of high amplitude wave events in both focusing and defocusing Manakov systems. We find that analytical rational/semirational solutions, associated with extreme, rogue wave (RW) structures, are the leading high amplitude events in this system.
Mančić, A., Baronio, F., HadŽievski, Lj., Wabnitz, S., Maluckov, A.   +4 more
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Triggering Rogue Waves in Opposing Currents [PDF]

Physical Review Letters, 2011
We show that rogue waves can be triggered naturally when a stable wave train enters a region of an opposing current flow. We demonstrate that the maximum amplitude of the rogue wave depends on the ratio between the current velocity, $ U_0 $, and the wave group velocity, $ c_g $. We also reveal that an opposing current can force the development of rogue
ONORATO, Miguel, PROMENT, DAVIDE, A. Toffoli   +2 more
openaire   +6 more sources

Exciting rogue waves

Physics, 2009
How freak or rogue waves form in the ocean is not well understood, but new investigations suggest a mechanism for these waves that may also allow formation of high-intensity pulses in optical fibers.
Mattias Marklund, Lennart Stenflo
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Time-Reversal Generation of Rogue Waves [PDF]

Physical Review Letters, 2014
The formation of extreme localizations in nonlinear dispersive media can be explained and described within the framework of nonlinear evolution equations, such as the nonlinear Schrodinger equation (NLS). Within the class of exact NLS breather solutions on a finite background, which describe the modulational instability of monochromatic wave trains ...
Chabchoub, Amin, Fink, Mathias
openaire   +4 more sources

Rogue Wave Patterns for the Degenerate Three-Wave Resonant Interaction Equations: Spectral Jump and Deep Learning

Applied Sciences
Three-wave resonant interaction equations can model nonlinear dynamics in many fields, e.g., fluids, optics, and plasma. Rogue waves, i.e., modes algebraically localized in both space and time, are obtained analytically. The aim of this paper is to study
Hui-Min Yin, Gui Mu, Zhi-Qiang Yang, Kwok Wing Chow   +3 more
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Rogue wave triplets

Physics Letters A, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ankiewicz, Adrian, Kedziora, David, Akhmediev, Nail   +2 more
openaire   +3 more sources

Optical Rogue Waves in Vortex Turbulence [PDF]

Physical Review Letters, 2016
5 pages, 7 ...
Gibson, Christopher J., Yao, Alison M., Oppo, Gian-Luca   +2 more
openaire   +4 more sources

Characteristics of the interaction behavior between solitons in (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation

Results in Physics, 2020
Starting with Hirota bilinear form of (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation, a class of lump solutions, a strip soliton, a pair of resonance solitons as well as the rogue wave have been obtained through symbolic computation ...
Lingfei Li, Yingying Xie, Mancang Wang
doaj   +1 more source