Secondary criticality of water waves. Part 2. Unsteadiness and the Benjamin–Feir instability from the viewpoint of hydraulics
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Bridges, Thomas J. and Donaldson, N. M. (2006) Secondary criticality of water waves. Part 2. Unsteadiness and the Benjamin–Feir instability from the viewpoint of hydraulics Journal of Fluid Mechanics, 565 . pp. 419-439. ISSN 0022-1120
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Abstract
The theory for criticality presented in Part 1 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 1 are also discussed.
| Item Type: | Article |
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| Additional Information: | Published in Journal of Fluid Mechanics, 565, 419-439. © 2006 Cambridge University Press. Reprinted with permission. |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 1553 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:42 |
| Last Modified: | 28 Sep 2012 10:50 |
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