Unsteady undular bores in fully nonlinear shallow-water theory

We consider unsteady undular bores in the fully nonlinear dissipationless shallow- water dynamics described by the Green-Naghdi system. We use the Whitham modula- tion theory to obtain an asymptotic analytical description for a full range of the depth ratio across the bore. The positions of the edge...

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Bibliographic Details

Main Authors:	Gennady El, Roger Grimshaw, Noel F. Smyth
Format:	Default Preprint
Published:	2005
Subjects:	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/378
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