TY - JOUR

T1 - Periodic Wave Trains in Nonlinear Media

T2 - Talbot Revivals, Akhmediev Breathers, and Asymmetry Breaking

AU - Rozenman, Georgi Gary

AU - Schleich, Wolfgang P.

AU - Shemer, Lev

AU - Arie, Ady

N1 - Publisher Copyright:
© 2022 American Physical Society.

PY - 2022/5/27

Y1 - 2022/5/27

N2 - We study theoretically and observe experimentally the evolution of periodic wave trains by utilizing surface gravity water wave packets. Our experimental system enables us to observe both the amplitude and the phase of these wave packets. For low steepness waves, the propagation dynamics is in the linear regime, and these waves unfold a Talbot carpet. By increasing the steepness of the waves and the corresponding nonlinear response, the waves follow the Akhmediev breather solution, where the higher frequency periodic patterns at the fractional Talbot distance disappear. Further increase in the wave steepness leads to deviations from the Akhmediev breather solution and to asymmetric breaking of the wave function. Unlike the periodic revival that occurs in the linear regime, here the wave crests exhibit self acceleration, followed by self deceleration at half the Talbot distance, thus completing a smooth transition of the periodic pulse train by half a period. Such phenomena can be theoretically modeled by using the Dysthe equation.

AB - We study theoretically and observe experimentally the evolution of periodic wave trains by utilizing surface gravity water wave packets. Our experimental system enables us to observe both the amplitude and the phase of these wave packets. For low steepness waves, the propagation dynamics is in the linear regime, and these waves unfold a Talbot carpet. By increasing the steepness of the waves and the corresponding nonlinear response, the waves follow the Akhmediev breather solution, where the higher frequency periodic patterns at the fractional Talbot distance disappear. Further increase in the wave steepness leads to deviations from the Akhmediev breather solution and to asymmetric breaking of the wave function. Unlike the periodic revival that occurs in the linear regime, here the wave crests exhibit self acceleration, followed by self deceleration at half the Talbot distance, thus completing a smooth transition of the periodic pulse train by half a period. Such phenomena can be theoretically modeled by using the Dysthe equation.

UR - http://www.scopus.com/inward/record.url?scp=85131293925&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.128.214101

DO - 10.1103/PhysRevLett.128.214101

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

C2 - 35687471

AN - SCOPUS:85131293925

SN - 0031-9007

VL - 128

JO - Physical Review Letters

JF - Physical Review Letters

IS - 21

M1 - 214101

ER -