Nonconservative higher-order hydrodynamic modulation instability

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Nonconservative higher-order hydrodynamic modulation instability. / Kimmoun, O.; Hsu, H. C.; Kibler, B.; Chabchoub, Amin.

In: Physical Review E, Vol. 96, No. 2, 022219, 08.2017, p. 1-6.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Kimmoun, O, Hsu, HC, Kibler, B & Chabchoub, A 2017, 'Nonconservative higher-order hydrodynamic modulation instability' Physical Review E, vol. 96, no. 2, 022219, pp. 1-6. https://doi.org/10.1103/PhysRevE.96.022219

APA

Kimmoun, O., Hsu, H. C., Kibler, B., & Chabchoub, A. (2017). Nonconservative higher-order hydrodynamic modulation instability. Physical Review E, 96(2), 1-6. [022219]. https://doi.org/10.1103/PhysRevE.96.022219

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Author

Kimmoun, O. ; Hsu, H. C. ; Kibler, B. ; Chabchoub, Amin. / Nonconservative higher-order hydrodynamic modulation instability. In: Physical Review E. 2017 ; Vol. 96, No. 2. pp. 1-6.

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@article{c06986aacf804d459db1baa6e86012e5,
title = "Nonconservative higher-order hydrodynamic modulation instability",
abstract = "The modulation instability (MI) is a universal mechanism that is responsible for the disintegration of weakly nonlinear narrow-banded wave fields and the emergence of localized extreme events in dispersive media. The instability dynamics is naturally triggered, when unstable energy sidebands located around the main energy peak are excited and then follow an exponential growth law. As a consequence of four wave mixing effect, these primary sidebands generate an infinite number of additional sidebands, forming a triangular sideband cascade. After saturation, it is expected that the system experiences a return to initial conditions followed by a spectral recurrence dynamics. Much complex nonlinear wave field motion is expected, when the secondary or successive sideband pair that is created is also located in the finite instability gain range around the main carrier frequency peak. This latter process is referred to as higher-order MI. We report a numerical and experimental study that confirms observation of higher-order MI dynamics in water waves. Furthermore, we show that the presence of weak dissipation may counterintuitively enhance wave focusing in the second recurrent cycle of wave amplification. The interdisciplinary weakly nonlinear approach in addressing the evolution of unstable nonlinear waves dynamics may find significant resonance in other nonlinear dispersive media in physics, such as optics, solids, superfluids, and plasma.",
author = "O. Kimmoun and Hsu, {H. C.} and B. Kibler and Amin Chabchoub",
year = "2017",
month = "8",
doi = "10.1103/PhysRevE.96.022219",
language = "English",
volume = "96",
pages = "1--6",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "2",

}

RIS - Download

TY - JOUR

T1 - Nonconservative higher-order hydrodynamic modulation instability

AU - Kimmoun, O.

AU - Hsu, H. C.

AU - Kibler, B.

AU - Chabchoub, Amin

PY - 2017/8

Y1 - 2017/8

N2 - The modulation instability (MI) is a universal mechanism that is responsible for the disintegration of weakly nonlinear narrow-banded wave fields and the emergence of localized extreme events in dispersive media. The instability dynamics is naturally triggered, when unstable energy sidebands located around the main energy peak are excited and then follow an exponential growth law. As a consequence of four wave mixing effect, these primary sidebands generate an infinite number of additional sidebands, forming a triangular sideband cascade. After saturation, it is expected that the system experiences a return to initial conditions followed by a spectral recurrence dynamics. Much complex nonlinear wave field motion is expected, when the secondary or successive sideband pair that is created is also located in the finite instability gain range around the main carrier frequency peak. This latter process is referred to as higher-order MI. We report a numerical and experimental study that confirms observation of higher-order MI dynamics in water waves. Furthermore, we show that the presence of weak dissipation may counterintuitively enhance wave focusing in the second recurrent cycle of wave amplification. The interdisciplinary weakly nonlinear approach in addressing the evolution of unstable nonlinear waves dynamics may find significant resonance in other nonlinear dispersive media in physics, such as optics, solids, superfluids, and plasma.

AB - The modulation instability (MI) is a universal mechanism that is responsible for the disintegration of weakly nonlinear narrow-banded wave fields and the emergence of localized extreme events in dispersive media. The instability dynamics is naturally triggered, when unstable energy sidebands located around the main energy peak are excited and then follow an exponential growth law. As a consequence of four wave mixing effect, these primary sidebands generate an infinite number of additional sidebands, forming a triangular sideband cascade. After saturation, it is expected that the system experiences a return to initial conditions followed by a spectral recurrence dynamics. Much complex nonlinear wave field motion is expected, when the secondary or successive sideband pair that is created is also located in the finite instability gain range around the main carrier frequency peak. This latter process is referred to as higher-order MI. We report a numerical and experimental study that confirms observation of higher-order MI dynamics in water waves. Furthermore, we show that the presence of weak dissipation may counterintuitively enhance wave focusing in the second recurrent cycle of wave amplification. The interdisciplinary weakly nonlinear approach in addressing the evolution of unstable nonlinear waves dynamics may find significant resonance in other nonlinear dispersive media in physics, such as optics, solids, superfluids, and plasma.

U2 - 10.1103/PhysRevE.96.022219

DO - 10.1103/PhysRevE.96.022219

M3 - Article

VL - 96

SP - 1

EP - 6

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

M1 - 022219

ER -

ID: 15123123