Hydrodynamic X-waves
Stationary wave groups exist in a range of nonlinear dispersive media, including optics, Bose-Einstein condensates, plasma, and hydrodynamics. We report experimental observations of nonlinear surface gravity X waves, i.e., X -shaped wave envelopes that propagate over long distances with constant...
| Main Authors: | , , , , |
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| Format: | Journal article |
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American Physical Society
2019
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| _version_ | 1797094365986816000 |
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| author | Steer, JN Borthwick, AGL Chabchoub, A Onorato, M Van Den Bremer, TS |
| author_facet | Steer, JN Borthwick, AGL Chabchoub, A Onorato, M Van Den Bremer, TS |
| author_sort | Steer, JN |
| collection | OXFORD |
| description | Stationary wave groups exist in a range of nonlinear dispersive media, including optics, Bose-Einstein condensates, plasma, and hydrodynamics. We report experimental observations of nonlinear surface gravity X waves, i.e., X -shaped wave envelopes that propagate over long distances with constant form. These can be described by the 2 D + 1 nonlinear Schrödinger equation, which predicts a balance between dispersion and diffraction when the envelope (the arms of the X ) travel at ± arctan ( 1 / √ 2 ) ≈ ± 35.2 6 ° to the carrier wave. Our findings may help improve understanding the lifetime of extremes in directional seas and motivate further studies in other nonlinear dispersive media. |
| first_indexed | 2024-03-07T04:13:06Z |
| format | Journal article |
| id | oxford-uuid:c87f6364-5407-4128-92b6-e7dd78953f23 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:13:06Z |
| publishDate | 2019 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:c87f6364-5407-4128-92b6-e7dd78953f232022-03-27T06:52:37ZHydrodynamic X-wavesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c87f6364-5407-4128-92b6-e7dd78953f23Symplectic Elements at OxfordAmerican Physical Society2019Steer, JNBorthwick, AGLChabchoub, AOnorato, MVan Den Bremer, TSStationary wave groups exist in a range of nonlinear dispersive media, including optics, Bose-Einstein condensates, plasma, and hydrodynamics. We report experimental observations of nonlinear surface gravity X waves, i.e., X -shaped wave envelopes that propagate over long distances with constant form. These can be described by the 2 D + 1 nonlinear Schrödinger equation, which predicts a balance between dispersion and diffraction when the envelope (the arms of the X ) travel at ± arctan ( 1 / √ 2 ) ≈ ± 35.2 6 ° to the carrier wave. Our findings may help improve understanding the lifetime of extremes in directional seas and motivate further studies in other nonlinear dispersive media. |
| spellingShingle | Steer, JN Borthwick, AGL Chabchoub, A Onorato, M Van Den Bremer, TS Hydrodynamic X-waves |
| title | Hydrodynamic X-waves |
| title_full | Hydrodynamic X-waves |
| title_fullStr | Hydrodynamic X-waves |
| title_full_unstemmed | Hydrodynamic X-waves |
| title_short | Hydrodynamic X-waves |
| title_sort | hydrodynamic x waves |
| work_keys_str_mv | AT steerjn hydrodynamicxwaves AT borthwickagl hydrodynamicxwaves AT chabchouba hydrodynamicxwaves AT onoratom hydrodynamicxwaves AT vandenbremerts hydrodynamicxwaves |