Johnson, E;
(2019)
Wavepackets in the anomalous Ostrovsky equation.
Physical Review E
10.1103/PhysRevE.100.043109.
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Abstract
The anomalous Ostrovsky equation, which describes waves in vertically sheared ocean flows and magnetoacoustic waves, possesses steadily propagating, finite-amplitude, localized wave-packet solutions. It is shown here that these solutions can be obtained asymptotically, using Whitham modulation theory, as the solution to a nonlinear eigenvalue problem. This allows the various wave-packet solutions to be delineated and compared to solutions of the full equations of motion. A periodic solution with an embedded wave train is also constructed.
| Type: | Article |
|---|---|
| Title: | Wavepackets in the anomalous Ostrovsky equation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevE.100.043109 |
| Publisher version: | https://doi.org/10.1103/PhysRevE.100.043109 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10082810 |
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