352 research outputs found
Asymmetric partially coherent solitons in saturable nonlinear media
We investigate theoretically properties of partially coherent solitons in optical nonlinear media with slow
saturable nonlinearity. We have found numerically that such a medium can support spatial solitons which are
asymmetric in shape and are composed of only a finite number of modes associated with the self-induced
waveguide. It is shown that these asymmetric spatial solitons can propagate many diffraction lengths without
changes, but that collisions change their shape and may split them apart. [S1063-651X(99)12808-3
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Spectral properties of the Peregrine soliton observed in a water wave tank
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 that they have triangular shapes, in accordance with the theory
Rogue waves of the Sasa-Satsuma equation in a chaotic wave field
We study the properties of the chaotic wave fields generated in the frame of the Sasa-Satsuma equation (SSE). Modulation instability results in a chaotic pattern of small-scale filaments with a free parameter - the propagation constant k. The average velocity of the filaments is approximately given by the group velocity calculated from the dispersion relation for the plane-wave solution. Remarkably, our results reveal the reason for the skewed profile of the exact SSE rogue-wave solutions, which was one of their distinctive unexplained features. We have also calculated the probability density functions for various values of the propagation constant k, showing that probability of appearance of rogue waves depends on k
Experiments on wind-perturbed rogue wave hydrodynamics using the Peregrine breather model
Being considered as a prototype for description of oceanic rogue waves, the Peregrine breather solution of the nonlinear Schrödinger equation has been recently observed and intensely investigated experimentally in particular within the context of water
Stationary and pulsating dissipative light bullets from a collective variable approach
A collective variable approach is used to map domains of existence for (3+1)-dimensional spatiotemporal soliton solutions of a complex cubic-quintic Ginzburg-Landau equation. A rich variety of evolution behaviors, which include stationary and pulsating dissipative soliton dynamics, is revealed. Comparisons between the results obtained by the semianalytical approach of collective variables, and those obtained by a purely numerical approach show good agreement for a wide range of equation parameters. This also demonstrates the relevance of the semianalytical method for a systematic search of stability domains for spatiotemporal solitons, leading to a dramatic reduction of the computation time
Hydrodynamic supercontinuum
We report the experimental observation of multi-bound-soliton solutions of the nonlinear Schrödinger equation (NLS) in the context of hydrodynamic surface gravity waves. Higher-order N-soliton solutions with N=2, 3 are studied in detail and shown to be
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