Journal article
An intrusion layer in stationary incompressible fluids Part 2: A solitary wave
European Journal of Applied Mathematics, Vol.17(05), pp.577-595
2006
Abstract
The 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.
Details
- Title
- An intrusion layer in stationary incompressible fluids Part 2: A solitary wave
- Authors/Creators
- L.K. Forbes (Author/Creator)G.C. Hocking (Author/Creator)
- Publication Details
- European Journal of Applied Mathematics, Vol.17(05), pp.577-595
- Publisher
- Cambridge University Press
- Identifiers
- 991005542540007891
- Copyright
- © 2007 Cambridge University Press
- Murdoch Affiliation
- School of Chemical and Mathematical Science
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- Citation topics
- 5 Physics
- 5.230 Solitons
- 5.230.124 Soliton Dynamics
- Web Of Science research areas
- Mathematics, Applied
- ESI research areas
- Mathematics