Experiments on Spontaneous Modulation Instability in Hydrodynamics

Amin Chabchoub; Goëry Genty; John M. Dudley; Bertrand Kibler; Takuji Waseda

Experiments on Spontaneous Modulation Instability in Hydrodynamics

Amin Chabchoub, Goëry Genty, John M. Dudley, Bertrand Kibler, Takuji Waseda

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

7 Citations (Scopus)

Abstract

Modulation instability describes the exponential amplification of a weak perturbation on top of a plane wave background and it has been extensively studied in the context of weakly nonlinear evolution equations such as the nonlinear Schrödinger equation (NLSE). It has been further suggested as a possible generation mechanism of rogue waves in the oceans. Here, we report on an experimental laboratory study in which the modulation instability dynamics have been seeded by random noise, added to a Stokes wave. Similarly to experiments recently performed in Optics, we show that the development of such spontaneous modulation instability in a water wave tank leads to the emergence of highly localized structures that can be interpreted as analytical NLSE breathers. Numerical simulations show very good qualitative agreement with the laboratory experiments.

Original language	English
Title of host publication	The 27th International Ocean and Polar Engineering Conference, 25-30 June, San Francisco, California, USA
Publisher	INTERNATIONAL SOCIETY OF OFFSHORE AND POLAR ENGINEERS
Number of pages	5
ISBN (Electronic)	978-1-880653-97-5
Publication status	Published - 2017
MoE publication type	A4 Article in a conference publication
Event	International Ocean and Polar Engineering Conference - San Francisco, United States Duration: 25 Jun 2017 → 30 Jun 2017 Conference number: 27

Publication series

Name	Proceedings of the Annual International Offshore and Polar Engineering Conference
Publisher	International Society of Offshore and Polar Engineers
Volume	27
ISSN (Electronic)	1098-6189

Conference

Conference	International Ocean and Polar Engineering Conference
Abbreviated title	ISOPE
Country/Territory	United States
City	San Francisco
Period	25/06/2017 → 30/06/2017

Keywords

Spontaneous modulation instability
spontaneous breathers
rogue waves

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http://legacy.isope.org/publications/proceedings/ISOPE/ISOPE%202017/data/polopoly_fs/1.3612945.1496175528!/fileserver/file/773924/filename/17TPC-1051Chabchoub.pdf

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Chabchoub, A., Genty, G., Dudley, J. M., Kibler, B., & Waseda, T. (2017). Experiments on Spontaneous Modulation Instability in Hydrodynamics. In The 27th International Ocean and Polar Engineering Conference, 25-30 June, San Francisco, California, USA (Proceedings of the Annual International Offshore and Polar Engineering Conference; Vol. 27). INTERNATIONAL SOCIETY OF OFFSHORE AND POLAR ENGINEERS. http://legacy.isope.org/publications/proceedings/ISOPE/ISOPE%202017/data/polopoly_fs/1.3612945.1496175528!/fileserver/file/773924/filename/17TPC-1051Chabchoub.pdf

Chabchoub, Amin ; Genty, Goëry ; Dudley, John M. et al. / Experiments on Spontaneous Modulation Instability in Hydrodynamics. The 27th International Ocean and Polar Engineering Conference, 25-30 June, San Francisco, California, USA. INTERNATIONAL SOCIETY OF OFFSHORE AND POLAR ENGINEERS, 2017. (Proceedings of the Annual International Offshore and Polar Engineering Conference).

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title = "Experiments on Spontaneous Modulation Instability in Hydrodynamics",

abstract = "Modulation instability describes the exponential amplification of a weak perturbation on top of a plane wave background and it has been extensively studied in the context of weakly nonlinear evolution equations such as the nonlinear Schr{\"o}dinger equation (NLSE). It has been further suggested as a possible generation mechanism of rogue waves in the oceans. Here, we report on an experimental laboratory study in which the modulation instability dynamics have been seeded by random noise, added to a Stokes wave. Similarly to experiments recently performed in Optics, we show that the development of such spontaneous modulation instability in a water wave tank leads to the emergence of highly localized structures that can be interpreted as analytical NLSE breathers. Numerical simulations show very good qualitative agreement with the laboratory experiments.",

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Chabchoub, A, Genty, G, Dudley, JM, Kibler, B & Waseda, T 2017, Experiments on Spontaneous Modulation Instability in Hydrodynamics. in The 27th International Ocean and Polar Engineering Conference, 25-30 June, San Francisco, California, USA. Proceedings of the Annual International Offshore and Polar Engineering Conference, vol. 27, INTERNATIONAL SOCIETY OF OFFSHORE AND POLAR ENGINEERS, International Ocean and Polar Engineering Conference, San Francisco, California, United States, 25/06/2017. <http://legacy.isope.org/publications/proceedings/ISOPE/ISOPE%202017/data/polopoly_fs/1.3612945.1496175528!/fileserver/file/773924/filename/17TPC-1051Chabchoub.pdf>

Experiments on Spontaneous Modulation Instability in Hydrodynamics. / Chabchoub, Amin; Genty, Goëry; Dudley, John M. et al.

The 27th International Ocean and Polar Engineering Conference, 25-30 June, San Francisco, California, USA. INTERNATIONAL SOCIETY OF OFFSHORE AND POLAR ENGINEERS, 2017. (Proceedings of the Annual International Offshore and Polar Engineering Conference; Vol. 27).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Experiments on Spontaneous Modulation Instability in Hydrodynamics

AU - Chabchoub, Amin

AU - Genty, Goëry

AU - Dudley, John M.

AU - Kibler, Bertrand

AU - Waseda, Takuji

N1 - Conference code: 27

PY - 2017

Y1 - 2017

N2 - Modulation instability describes the exponential amplification of a weak perturbation on top of a plane wave background and it has been extensively studied in the context of weakly nonlinear evolution equations such as the nonlinear Schrödinger equation (NLSE). It has been further suggested as a possible generation mechanism of rogue waves in the oceans. Here, we report on an experimental laboratory study in which the modulation instability dynamics have been seeded by random noise, added to a Stokes wave. Similarly to experiments recently performed in Optics, we show that the development of such spontaneous modulation instability in a water wave tank leads to the emergence of highly localized structures that can be interpreted as analytical NLSE breathers. Numerical simulations show very good qualitative agreement with the laboratory experiments.

AB - Modulation instability describes the exponential amplification of a weak perturbation on top of a plane wave background and it has been extensively studied in the context of weakly nonlinear evolution equations such as the nonlinear Schrödinger equation (NLSE). It has been further suggested as a possible generation mechanism of rogue waves in the oceans. Here, we report on an experimental laboratory study in which the modulation instability dynamics have been seeded by random noise, added to a Stokes wave. Similarly to experiments recently performed in Optics, we show that the development of such spontaneous modulation instability in a water wave tank leads to the emergence of highly localized structures that can be interpreted as analytical NLSE breathers. Numerical simulations show very good qualitative agreement with the laboratory experiments.

KW - Spontaneous modulation instability

KW - spontaneous breathers

KW - rogue waves

M3 - Conference contribution

T3 - Proceedings of the Annual International Offshore and Polar Engineering Conference

BT - The 27th International Ocean and Polar Engineering Conference, 25-30 June, San Francisco, California, USA

PB - INTERNATIONAL SOCIETY OF OFFSHORE AND POLAR ENGINEERS

T2 - International Ocean and Polar Engineering Conference

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ER -

Chabchoub A, Genty G, Dudley JM, Kibler B, Waseda T. Experiments on Spontaneous Modulation Instability in Hydrodynamics. In The 27th International Ocean and Polar Engineering Conference, 25-30 June, San Francisco, California, USA. INTERNATIONAL SOCIETY OF OFFSHORE AND POLAR ENGINEERS. 2017. (Proceedings of the Annual International Offshore and Polar Engineering Conference).

Experiments on Spontaneous Modulation Instability in Hydrodynamics

Abstract

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Keywords

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