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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.

Item Type:	Article
Authors/Creators:	Forbes, LK and Hocking, GC
Journal or Publication Title:	European Journal of Applied Mathematics
Publisher:	Cambridge University Press
ISSN:	0956-7925
DOI / ID Number:	10.1017/S0956792506006711
Item Statistics:	View statistics for this item

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