Secondary criticality of water waves. Part 2. Unsteadiness and the Benjamin–Feir instability from the viewpoint of hydraulics
Bridges, T.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.
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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||28 September 2006|
|Identification Number :||10.1017/S0022112006001881|
|Additional Information :||Published in Journal of Fluid Mechanics, 565, 419-439. © 2006 Cambridge University Press. Reprinted with permission.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:42|
|Last Modified :||07 Nov 2013 13:37|
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