Study of nonlinear long wave approximation in uniform channels via Hamiltonian structure (Q1908028)
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scientific article; zbMATH DE number 849188
| Language | Label | Description | Also known as |
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| English | Study of nonlinear long wave approximation in uniform channels via Hamiltonian structure |
scientific article; zbMATH DE number 849188 |
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Study of nonlinear long wave approximation in uniform channels via Hamiltonian structure (English)
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10 July 1996
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We study the nonlinear wave theory in shallow water via the Hamiltonian approach. The principal is the surface wave evolution on water contained in uniform channels. The proper Hamiltonian approximating scheme for the more general case of waves that undergo transverse variations in amplitude in the course of longitudinal propagations is constructed. Some solutions for channels with different cross-sections, especially with the rectangular cross-section, are presented.
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surface wave evolution
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rectangular cross-section
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