Gravity-Capillary Lumps Generated by a Moving Pressure Source

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The nonlinear wave pattern generated by a localized pressure source moving over a liquid free surface at speeds below the minimum phase speed (c(min)) of linear gravity-capillary waves is investigated experimentally and theoretically. At these speeds, freely propagating fully localized solitary waves, or "lumps," are known theoretically to be possible. For pressure-source speeds far below c(min), the surface response is a local depression similar to the case with no forward speed. As the speed is increased, a critical value is reached c(c)approximate to 0.9c(min) where there is an abrupt transition to a wavelike state that features a steady disturbance similar to a steep lump behind the pressure forcing. As the speed approaches c(min), a second transition is found; the new state is unsteady and is characterized by continuous shedding of lumps from the tips of a V-shaped pattern.
Publisher
AMER PHYSICAL SOC
Issue Date
2009-11
Language
English
Article Type
Article
Keywords

SOLITARY WAVES; DEEP-WATER; ENVELOPE SOLITONS; STABILITY; EQUATION; FLOWS; MODEL

Citation

PHYSICAL REVIEW LETTERS, v.103, no.21

ISSN
0031-9007
DOI
10.1103/PhysRevLett.103.214502
URI
http://hdl.handle.net/10203/94219
Appears in Collection
ME-Journal Papers(저널논문)
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