 |
| Titel |
Stationary solutions of the extended reduced Ostrovsky equation |
| VerfasserIn |
Maria Obregon, Ramon Fernandez-Feria, Yury Stepanyants |
| Konferenz |
EGU General Assembly 2011
|
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 13 (2011) |
| Datensatznummer |
250048045
|
|
|
|
|
|
| Zusammenfassung |
| The extended Ostrovsky equation,
(ut + cux + αuux + α1u2ux + βuxxx)x = γu,
is used as a model of large-amplitude internal oceanic waves affected by Earth’s rotation.
It contains two types of dispersion, the Boussinesq dispersion (~β), which accounts for
non-hydrostatic effects and Coriolis dispersion (~γ) which accounts for the Earth’ rotation.
In addition to that, the equation contains two nonlinear terms, quadratic (~α) and cubic
(~α1) ones. The reduced version of the equation, that does not contain the small-scale
Boussinesq dispersion,
(ut + cux + αuux + α1u2ux)x = γu,
is relevant for the description of very long internal waves when the non-hydrostatic
effects are negligible. Such equation may be also of interest for description nonlinear waves
of other physical origin in nonlinear media. In this paper we present a systematic analysis and
categorization of stationary solutions to this extended reduced Ostrovsky equation. Periodic
and solitary solutions are constructed and their typical parameters are estimated for the
natural oceanic conditions. |
|
|
|
|
|
|