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
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Other mathematical sciences not elsewhere classified
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Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/378
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https://hdl.handle.net/2134/378

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