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| Titel |
Water wave packets propagating over variable depth |
| VerfasserIn |
Roger Grimshaw, Sergei Annenkov |
| Konferenz |
EGU General Assembly 2011
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 13 (2011) |
| Datensatznummer |
250047049
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| Zusammenfassung |
| Water wave packets are often described by the usual nonlinear Schrodinger equation, for
which a wave packet can only exist in deep water, more precisely when kh > 1.363 where
k is the wavenumber and h is the depth. However, near the critical depth when
kh = 1.363 it is necessary to develop a higher-order nonlinear Schrodinger equation
with variable coefficients to describe how a water wave packet will deform as it
propagates shoreward from deep to shallow water. Using a combination of asymptotic
analysis and numerical simulations we find that in the framework of this higher-order
nonlinear Schrodinger equation, the wave packet can penetrate into shallow water
kh < 1.363 or not even reach kh = 1.363, depending on the sign of the initial value in
deep water of a certain parameter of the wave packet which measures its speed. |
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