Gap solitary waves in two-layer fluids

Emilian I. Parau; Hugh C. Woolfenden

doi:10.1093/imamat/hxs036

Gap solitary waves in two-layer fluids

Emilian I. Parau, Hugh C. Woolfenden

Fluids & Structures

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

1 Citation (Scopus)

Abstract

We present computations of solitary waves in a two-layered fluid flow. Both the effects of gravity and interfacial tension are considered. The top surface of the upper fluid is free. The solitary waves are found in a narrow ‘gap’ which exists between the two branches of the dispersion relation. Both in-phase and out-of-phase solitary waves are presented.

Original language	English
Pages (from-to)	399-407
Number of pages	9
Journal	IMA Journal of Applied Mathematics
Volume	77
Issue number	3
DOIs	https://doi.org/10.1093/imamat/hxs036
Publication status	Published - Jun 2012

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10.1093/imamat/hxs036

Cite this

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title = "Gap solitary waves in two-layer fluids",

abstract = "We present computations of solitary waves in a two-layered fluid flow. Both the effects of gravity and interfacial tension are considered. The top surface of the upper fluid is free. The solitary waves are found in a narrow {\textquoteleft}gap{\textquoteright} which exists between the two branches of the dispersion relation. Both in-phase and out-of-phase solitary waves are presented.",

author = "Parau, {Emilian I.} and Woolfenden, {Hugh C.}",

year = "2012",

month = jun,

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journal = "IMA Journal of Applied Mathematics",

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publisher = "Oxford University Press",

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AU - Parau, Emilian I.

AU - Woolfenden, Hugh C.

PY - 2012/6

Y1 - 2012/6

N2 - We present computations of solitary waves in a two-layered fluid flow. Both the effects of gravity and interfacial tension are considered. The top surface of the upper fluid is free. The solitary waves are found in a narrow ‘gap’ which exists between the two branches of the dispersion relation. Both in-phase and out-of-phase solitary waves are presented.

AB - We present computations of solitary waves in a two-layered fluid flow. Both the effects of gravity and interfacial tension are considered. The top surface of the upper fluid is free. The solitary waves are found in a narrow ‘gap’ which exists between the two branches of the dispersion relation. Both in-phase and out-of-phase solitary waves are presented.

U2 - 10.1093/imamat/hxs036

DO - 10.1093/imamat/hxs036

M3 - Article

VL - 77

SP - 399

EP - 407

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

SN - 0272-4960

IS - 3

ER -