Results 191 to 200 of about 10,211 (217)
, 2013 We study the solutions of the one dimensional focusing NLS equation. Here we construct new deformations of the Peregrine breather of order 7 with 12 real parameters. We obtain new families of quasi-rational solutions of the NLS equation. With this method, we construct new patterns of different types of rogue waves.
Gaillard, Pierre
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Deformations of third order Peregrine breather solutions of the NLS equation with four parameters
, 2013 In this paper, we give new solutions of the focusing NLS equation as a quotient of two determinants. This formulation gives in the case of the order 3, new deformations of the Peregrine breather with four parameters. This gives a very efficient procedure to construct families of quasi-rational solutions of the NLS equation and to describe the ...
Gaillard, Pierre
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Longitudinal phase evolution of Peregrine-like breathers
Advanced Photonics 2018 (BGPP, IPR, NP, NOMA, Sensors, Networks, SPPCom, SOF), 2018We report the first experimental study of the longitudinal evolution of breather pulses during nonlinear fiber propagation. Gerchberg-Saxton phase retrieval reveals a large phase shift across the point of maximum compression.
Hammani, Kamal +4 more
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Experimental study on the evolution of Peregrine breather with uniform-depth adverse currents
Physical Review E, 2018A series of laboratory experiments were performed to study the evolution of Peregrine breather (PB) in a wave flume in finite depth, and wave trains were initially generated in a region of quiescent water and then propagated into an adverse current region for which the current velocity strength gradually increased from zero to an approximately stable ...
B, Liao, Y, Ma, X, Ma, G, Dong
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Numerical Simulations of Peregrine Breathers Using a Spectral Element Model
Volume 11A: Honoring Symposium for Professor Carlos Guedes Soares on Marine Technology and Ocean Engineering, 2018Breather solutions to the nonlinear Schrödinger equation have been put forward as a possible prototype for rouge waves and have been studied both experimentally and numerically. In the present study, we perform high resolution simulations of the evolution of Peregrine breathers in finite depth using a fully nonlinear potential flow spectral element ...
Dimitrios Koukounas +2 more
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Experimental investigation of the Peregrine Breather of gravity waves on finite water depth
Physical Review Fluids, 2018A series of laboratory experiments were performed to study the Peregrine Breather evolution in a wave flume of finite depth and deep water. The experimental results are compared with computations based on both the nonlinear Schr\"odinger equation and the Dysthe equation, both with a dissipation term.
G. Dong, B. Liao, Y. Ma, M. Perlin
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Current Effects on the Generation and Evolution of the Peregrine Breather-Type Rogue Wave
Volume 3: Structures, Safety and Reliability, 2015Rogue wave is a kind of surface gravity waves with much larger wave heights than expected in normal sea state. Since this extreme sea event always occurred in the areas with strong currents, the wave-current interaction was considered to be one of the physical mechanics of the formation of the rogue wave.
Wenyue Lu +5 more
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Numerical Study on the Evolution of Peregrine Breathers in Variable Depth
The Peregrine breather (PB) solution of the nonlinear Schrödinger equation (NLSE) is an important theoretical model for rogue waves in deep water. This study uses computational fluid dynamics (CFD) simulations to investigate the propagation stability and evolution of PB waves over variable water depths.Aimin Wang +4 more
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Ten-parameter deformations of the sixth-order Peregrine breather solutions of the NLS equation
Physica Scripta, 2013In this paper, we construct new deformations of the Peregrine breather of order 6 with ten real parameters. We obtain new families of quasi-rational solutions of the one-dimensional focusing nonlinear Schrodinger (NLS) equation. With this method, we construct new patterns of different types of rogue waves.
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Communications in Theoretical Physics, 2014
Summary: We construct here explicitly new deformations of the Peregrine breather of order 5 with 8 real parameters. This gives new families of quasi-rational solutions of the NLS equation and thus one can describe in a more precise way the phenomena of appearance of multi rogue waves.
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Summary: We construct here explicitly new deformations of the Peregrine breather of order 5 with 8 real parameters. This gives new families of quasi-rational solutions of the NLS equation and thus one can describe in a more precise way the phenomena of appearance of multi rogue waves.
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