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| Titel |
Models for strongly-nonlinear evolution of long internal waves in a two-layer stratification |
| VerfasserIn |
T. Sakai, L. G. Redekopp |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 14, no. 1 ; Nr. 14, no. 1 (2007-01-30), S.31-47 |
| Datensatznummer |
250012125
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| Publikation (Nr.) |
 copernicus.org/npg-14-31-2007.pdf |
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| Zusammenfassung |
| Models describing the evolution of long internal waves are proposed
that are based on different polynomial approximations of the exact
expression for the phase speed of uni-directional, fully-nonlinear,
infinitely-long waves in the two-layer model of a density stratified
environment. It is argued that a quartic KdV model, one that
employs a cubic polynomial fit of the separately-derived, nonlinear
relation for the phase speed, is capable of describing the evolution
of strongly-nonlinear waves with a high degree of fidelity.
The marginal gains obtained by generating higher-order,
weakly-nonlinear extensions to describe strongly-nonlinear evolution
are clearly demonstrated, and the limitations of the quite
widely-used quadratic-cubic KdV evolution model obtained via a
second-order, weakly-nonlinear analysis are assessed. Data are
presented allowing a discriminating comparison of evolution
characteristics as a function of wave amplitude and environmental
parameters for several evolution models. |
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