Slowly varying solitary waves in deep fluids
- 14 May 1981
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 376 (1765) , 319-332
- https://doi.org/10.1098/rspa.1981.0094
Abstract
The slowly varying solitary wave is constructed as an asymptotic solution of the deep fluid equation of Benjamin (1967), Davis & Acrivos (1967), and Ono (1975). A multiple scale method is used to determine the amplitude and phase of the wave to second order in the perturbation parameter. Behind the solitary wave a shelf develops. Outer expansions are introduced to remove certain non-uniformities in the expansion. The results are interpreted from conservation laws. Finally the effect of damping, either due to radiating internal waves or due to friction, is considered.Keywords
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