Wave propagation in a generalized microstructure PDE, under the Mindlin relations, is considered. Limited analytic results exist for the occurrence of one family of solitary wave solutions of these equations. Since solitary wave solutions often play a central role in the long-time evolution of an in
Resonant generation of a solitary wave in a thermocline
β Scribed by O. D. Shishkina
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 461 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0723-4864
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β¦ Synopsis
The resonant generation of a second-mode inter-Nmax nal solitary wave, resulting from a ship internal waves Re system damping in a thermocline, is studied experimen-Fi tally. The source of the stationary internal waves was pro-fn vided by an oblong ellipsoid of revolution towed horizontally and uniformly at the depth of the thermocline center, con The ranges of the Reynolds and Froude numbers were kn 500~Re=Ul/v~15000 and 0.3~Fi=U/NmaxD~l.O, respect-C. ively. When the body's speed and the linear long-wave second-mode phase speed were equal, an internal solitary wave Ur of the "bulge" type was observed. The shape of the wave v satisfied the Korteweg-de Vries equation. The Urcell parameter a was equal to 10.2.
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π SIMILAR VOLUMES
We study linear instability of solitary wave solutions of a one-dimensional generalized Benney-Luke equation, which is a formally valid approximation for describing two-way water wave propagation in the presence of surface tension. Further, we implement a finite difference numerical scheme which com