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| Titel |
Fourier spectrum and shape evolution of an internal Riemann wave of moderate amplitude |
| VerfasserIn |
E. Kartashova, E. Pelinovsky, T. Talipova |
| 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 ; 20, no. 4 ; Nr. 20, no. 4 (2013-08-07), S.571-580 |
| Datensatznummer |
250086041
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| Publikation (Nr.) |
 copernicus.org/npg-20-571-2013.pdf |
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| Zusammenfassung |
| The nonlinear deformation of long internal waves in the ocean is studied
using the dispersionless Gardner equation. The process of nonlinear wave
deformation is determined by the signs of the coefficients of the quadratic
and cubic nonlinear terms; the breaking time depends only on their absolute
values. The explicit formula for the Fourier spectrum of the deformed Riemann
wave is derived and used to investigate the evolution of the spectrum of the
initially pure sine wave. It is shown that the spectrum has exponential form
for small times and a power asymptotic before breaking. The power asymptotic
is universal for arbitrarily chosen coefficients of the nonlinear terms and
has a slope close to –8/3. |
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