Instabilities and bifurcations of interfacial water waves

C. P. Zhou; J. H.W. Lee; Y. K. Cheung

doi:10.1063/1.858418

Instabilities and bifurcations of interfacial water waves

C. P. Zhou^*, J. H.W. Lee, Y. K. Cheung

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

The fourth-order Zakharov equation for interfacial waves of two-layered fluids with finite depths is derived to include quintet interactions. Using this new equation the class I and class II instability and bifurcation of a two-dimensional Stokes interfacial wave into a three-dimensional steady wave is studied. Results are in good agreement with those by numerical calculations from the full unapproximated water wave and with experimental data.

Original language	English
Pages (from-to)	1428-1438
Number of pages	11
Journal	Physics of Fluids A
Volume	4
Issue number	7
DOIs	https://doi.org/10.1063/1.858418
Publication status	Published - 1992
Externally published	Yes

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10.1063/1.858418

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title = "Instabilities and bifurcations of interfacial water waves",

abstract = "The fourth-order Zakharov equation for interfacial waves of two-layered fluids with finite depths is derived to include quintet interactions. Using this new equation the class I and class II instability and bifurcation of a two-dimensional Stokes interfacial wave into a three-dimensional steady wave is studied. Results are in good agreement with those by numerical calculations from the full unapproximated water wave and with experimental data.",

author = "Zhou, \{C. P.\} and Lee, \{J. H.W.\} and Cheung, \{Y. K.\}",

year = "1992",

doi = "10.1063/1.858418",

language = "English",

volume = "4",

pages = "1428--1438",

journal = "Physics of Fluids A",

issn = "0899-8213",

publisher = "American Institute of Physics",

number = "7",

}

TY - JOUR

T1 - Instabilities and bifurcations of interfacial water waves

AU - Zhou, C. P.

AU - Lee, J. H.W.

AU - Cheung, Y. K.

PY - 1992

Y1 - 1992

N2 - The fourth-order Zakharov equation for interfacial waves of two-layered fluids with finite depths is derived to include quintet interactions. Using this new equation the class I and class II instability and bifurcation of a two-dimensional Stokes interfacial wave into a three-dimensional steady wave is studied. Results are in good agreement with those by numerical calculations from the full unapproximated water wave and with experimental data.

AB - The fourth-order Zakharov equation for interfacial waves of two-layered fluids with finite depths is derived to include quintet interactions. Using this new equation the class I and class II instability and bifurcation of a two-dimensional Stokes interfacial wave into a three-dimensional steady wave is studied. Results are in good agreement with those by numerical calculations from the full unapproximated water wave and with experimental data.

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:A1992HZ84200011

UR - https://openalex.org/W1966720955

UR - https://www.scopus.com/pages/publications/0026803977

U2 - 10.1063/1.858418

DO - 10.1063/1.858418

M3 - Journal Article

SN - 0899-8213

VL - 4

SP - 1428

EP - 1438

JO - Physics of Fluids A

JF - Physics of Fluids A

IS - 7

ER -

Instabilities and bifurcations of interfacial water waves

Abstract

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