Solitary waves in a finite depth fluid
- 1 December 1977
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 10 (12) , L225-L227
- https://doi.org/10.1088/0305-4470/10/12/002
Abstract
It is shown that U( xi )=u0(cosh2 a xi +(ab)-2 sinh2 a xi )-1 is the exact stationary wave solution to the Whitham equation in a two-layer fluid of finite depth and represents the natural connection between the Benjamin-Ono deep water (a to 0) and Kortweg-de Vries shallow water (b to infinity ) theories.Keywords
This publication has 4 references indexed in Scilit:
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- Internal waves of permanent form in fluids of great depthJournal of Fluid Mechanics, 1967
- Variational methods and applications to water wavesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1967
- Internal waves of finite amplitude and permanent formJournal of Fluid Mechanics, 1966