Turbulence d'ondes dans des modèles unidimensionnels

Philippe Guyenne; Vladimir Zakharov; Andrei Pushkarev; Frédéric Dias

doi:10.1016/s1620-7742(00)01258-7

Turbulence d'ondes dans des modèles unidimensionnels

Translated title of the contribution: Wave turbulence in one-dimensional models

Philippe Guyenne, Vladimir Zakharov, Andrei Pushkarev, Frédéric Dias

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this note, we assess the validity of weak turbulence theory by numerically investigating a three-parameter nonlinear dispersive wave equation. The predicted power-law solutions are explicitly determined and then compared with the numerical results. For both signs of nonlinearity, we show that the weakly turbulent regime is strongly influenced by the presence of coherent structures. These are wave collapses and quasisolitons.

Translated title of the contribution	Wave turbulence in one-dimensional models
Original language	French
Pages (from-to)	757-762
Number of pages	6
Journal	Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique
Volume	328
Issue number	10
DOIs	https://doi.org/10.1016/s1620-7742(00)01258-7
State	Published - 2000

Keywords

Collapse
Dispersive waves
Hamiltonian systems
Solitons
Weak turbulence

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology

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10.1016/s1620-7742(00)01258-7

Cite this

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abstract = "In this note, we assess the validity of weak turbulence theory by numerically investigating a three-parameter nonlinear dispersive wave equation. The predicted power-law solutions are explicitly determined and then compared with the numerical results. For both signs of nonlinearity, we show that the weakly turbulent regime is strongly influenced by the presence of coherent structures. These are wave collapses and quasisolitons.",

keywords = "Collapse, Dispersive waves, Hamiltonian systems, Solitons, Weak turbulence",

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doi = "10.1016/s1620-7742(00)01258-7",

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T1 - Turbulence d'ondes dans des modèles unidimensionnels

AU - Guyenne, Philippe

AU - Zakharov, Vladimir

AU - Pushkarev, Andrei

AU - Dias, Frédéric

PY - 2000

Y1 - 2000

N2 - In this note, we assess the validity of weak turbulence theory by numerically investigating a three-parameter nonlinear dispersive wave equation. The predicted power-law solutions are explicitly determined and then compared with the numerical results. For both signs of nonlinearity, we show that the weakly turbulent regime is strongly influenced by the presence of coherent structures. These are wave collapses and quasisolitons.

AB - In this note, we assess the validity of weak turbulence theory by numerically investigating a three-parameter nonlinear dispersive wave equation. The predicted power-law solutions are explicitly determined and then compared with the numerical results. For both signs of nonlinearity, we show that the weakly turbulent regime is strongly influenced by the presence of coherent structures. These are wave collapses and quasisolitons.

KW - Collapse

KW - Dispersive waves

KW - Hamiltonian systems

KW - Solitons

KW - Weak turbulence

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JO - Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique

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ER -

Turbulence d'ondes dans des modèles unidimensionnels

Abstract

Keywords

ASJC Scopus subject areas

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