El, Gennady, Grimshaw, R. H. J. and Kamchatnov, A. M. (2005) Wave Breaking and the Generation of Undular Bores in an Integrable Shallow Water System. Studies in Applied Mathematics, 114 (4). pp. 395-411. ISSN 0022-2526
|
Text
Wave breaking and the generation of undular bores in an integrable shallow water system.pdf - Accepted Version Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (143kB) | Preview |
Abstract
The generation of an undular bore in the vicinity of a wave‐breaking point is considered for the integrable Kaup–Boussinesq (KB) shallow water system. In the framework of the Whitham modulation theory, an analytic solution of the Gurevich–Pitaevskii type of problem for a generic “cubic” breaking regime is obtained using a generalized hodograph transform, and a further reduction to a linear Euler–Poisson equation. The motion of the undular bore edges is investigated in detail.
| Item Type: | Article |
|---|---|
| Subjects: | F300 Physics |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Depositing User: | John Coen |
| Date Deposited: | 16 Apr 2020 11:30 |
| Last Modified: | 31 Jul 2021 18:31 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/42802 |
Actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
