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Secondary Criticality of Water Waves. Part 2.<br>Unsteadiness and the Benjamin-Feir Instability From the Viewpoint of Hydraulics<br>

Bridges, T J and Donaldson, N M (2006) Secondary Criticality of Water Waves. Part 2.<br>Unsteadiness and the Benjamin-Feir Instability From the Viewpoint of Hydraulics<br> Journal of Fluid Mechanics, 565. pp. 419-439. ISSN 0022-1120

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Abstract

The theory for criticality presented in Part I is extended to the unsteady problem, and a new formulation of the Benjamin-Feir instability for Stokes waves in finite depth coupled to a mean flow, which takes the criticality matrix as an organizing centre, is presented. The generation of unsteady dark solitary waves at points of stability changes and their connection with the steady dark solitary waves of Part I are also discussed.

Item Type: Article
Additional Information: Bridges, T. J., and Donaldson, N. M. (2006) Secondary Criticality of Water Waves. Part 2.<br>Unsteadiness and the Benjamin-Feir Instability From the Viewpoint of Hydraulics.<br><i>Journal of Fluid Mechanics,</i> Vol. 565, pp. 419-439. &amp;copy 2006 Cambridge University Press Click <a href=http://www.jfm.damtp.cam.ac.uk/>here</a> to access the journal's website.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:42
Last Modified: 06 Nov 2013 15:19
URI: http://epubs.surrey.ac.uk/id/eprint/1538

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