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| Titel |
Generalised fifth-order nonlinear evolution equation for long internal waves in a rotating ocean |
| VerfasserIn |
Andrey Kurkin, Oxana Kurkina, Maria Obregon, Ekaterina Rouvinskaya, Yury Stepanyants |
| Konferenz |
EGU General Assembly 2013
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 15 (2013) |
| Datensatznummer |
250081989
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| Zusammenfassung |
| A rigorous derivation of a nonlinear evolution equation for long internal waves in a rotating
two-layer fluid is presented without the exploitation of the Boussinesq approximation and
potential theory. Such approach is very convenient for the cases when the fluid flow is not
potential, e.g., when the fluid rotation or/and viscosity effects are taken into consideration.
The derived equation reads:
[ ( )]
--- -ζ-+ αζ-ζ-+ β-3ζ + É α ζ2-ζ-+ γ ζ-3ζ + γ -ζ-2ζ + β -5ζ = δζ.
-ξ -Ï -ξ -ξ3 1 -ξ 1 -ξ3 2-ξ-ξ2 1-ξ5
In the particular case É = δ = 0 this equation reduces to the classical KdV equation, whereas
when É = 0, but δ - 0, the equation reduces to another well-known equation, the Ostrovsky
equation, which is widely used currently in physical oceanography and other physical
branches.
Stationary solutions to the derived equation are studied with application to the real
oceanographic conditions. |
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