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Original Articles

Nonlinear surface and internal waves in stratified shear flow

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Pages 35-48 | Received 04 Feb 1988, Published online: 19 Aug 2006
 

Abstract

The propagation of solitary waves in a two-layer fluid with shear is studied in the long-wave shallow-water approximation. We show that, to the first order in the perturbation, the wave motion is described by the Korteweg-de Vries equation, whose coefficients now depend on the shear present.

Solitary wave solutions are discussed in the following two cases; constant shear flow and Couette shear flow. These results are used to describe the propagation of solution-like internal waves in the Straits of Gibraltar.

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