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An intrusion layer in stationary incompressible fluids Part 2: A solitary wave
journal contribution
posted on 2023-05-16, 19:11 authored by Lawrence ForbesLawrence Forbes, Hocking, GCThe propagation of a solitary wave in a horizontal fluid layer is studied. There is an interfacial free surface above and below this intrusion layer, which is moving at constant speed through a stationary density-stratified fluid system. A weakly nonlinear asymptotic theory is presented, leading to a Korteweg-de Vries equation in which the two fluid interfaces move oppositely. The intrusion layer solitary wave system thus forms a widening bulge that propagates without change of form. These results are confirmed and extended by a fully nonlinear solution, in which a boundary-integral formulation is used to solve the problem numerically. Limiting profiles are approached, for which a corner forms at the crest of the solitary wave, on one or both of the interfaces.
Funding
Australian Research Council
History
Publication title
European Journal of Applied MathematicsVolume
17Issue
5Pagination
577-595ISSN
0956-7925Department/School
School of Natural SciencesPublisher
Cambridge University PressPlace of publication
New York, USARepository Status
- Restricted