## Abstract The theory of internal waves between two bodies of immiscible fluid is important both for its interest to ocean engineering and as a source of numerous interesting mathematical model equations that exhibit nonlinearity and dispersion. In this paper we derive a Hamiltonian formulation of
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A Hamiltonian formulation for long internal waves
β Scribed by Yuri Lvov; Esteban G Tabak
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 156 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0167-2789
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In this study, we derive an analytical solution for long waves over a circular island which is mounted on a flat bottom. The water depth on the island varies in proportion to an arbitrary power, Ξ³, of the radial distance. Separation of variables, Taylor series expansion, and Frobenius series are use