The Peregrine Breather on the Zero-Background Limit as the Two-Soliton Degenerate Solution : An Experimental Study
Chabchoub, Amin; Slunyaev, Alexey; Hoffmann, Norbert; Dias, Frederic; Kibler, Bertrand; Genty, Goëry; Dudley, John M.; Akhmediev, Nail (2021)
Chabchoub, Amin
Slunyaev, Alexey
Hoffmann, Norbert
Dias, Frederic
Kibler, Bertrand
Genty, Goëry
Dudley, John M.
Akhmediev, Nail
2021
633549
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi:tuni-202109217186
https://urn.fi/URN:NBN:fi:tuni-202109217186
Kuvaus
Peer reviewed
Tiivistelmä
Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates. While the Peregrine breather is known to amplify a single localized perturbation of a carrier wave of finite amplitude by a factor of three, there is a counterpart solution on zero background known as the degenerate two-soliton which also leads to high amplitude maxima. In this study, we report several observations of such multi-soliton with doubly-localized peaks in a water wave flume. The data collected in this experiment confirm the distinctive attainment of wave amplification by a factor of two in good agreement with the dynamics of the nonlinear Schrödinger equation solution. Advanced numerical simulations solving the problem of nonlinear free water surface boundary conditions of an ideal fluid quantify the physical limitations of the degenerate two-soliton in hydrodynamics.
Kokoelmat
- TUNICRIS-julkaisut [19288]