TY - JOUR
T1 - Hydrodynamic X Waves
AU - Steer, James N.
AU - Borthwick, Alistair G.L.
AU - Onorato, Miguel
AU - Chabchoub, Amin
AU - Van Den Bremer, Ton S.
PY - 2019/10/29
Y1 - 2019/10/29
N2 - 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 2D+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)≈±35.26° 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.
AB - 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 2D+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)≈±35.26° 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.
UR - http://www.scopus.com/inward/record.url?scp=85074887684&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.123.184501
DO - 10.1103/PhysRevLett.123.184501
M3 - Article
C2 - 31763923
AN - SCOPUS:85074887684
VL - 123
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 18
M1 - 184501
ER -