dorsal/arxiv
View SchemaQuasi-planar steep water waves
| Authors | Victor P. Ruban |
|---|---|
| Categories | |
| ArXiv ID | physics/0502146 |
| URL | https://arxiv.org/abs/physics/0502146 |
| DOI | 10.1103/PhysRevE.71.055303 |
Abstract
A new description for highly nonlinear potential water waves is suggested, where weak 3D effects are included as small corrections to exact 2D equations written in conformal variables. Contrary to the traditional approach, a small parameter in this theory is not the surface slope, but it is the ratio of a typical wave length to a large transversal scale along the second horizontal coordinate. A first-order correction for the Hamiltonian functional is calculated, and the corresponding equations of motion are derived for steep water waves over an arbitrary inhomogeneous quasi-1D bottom profile.
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"date_created": "2026-03-02T18:00:56.939000Z",
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"abstract": "A new description for highly nonlinear potential water waves is suggested,\nwhere weak 3D effects are included as small corrections to exact 2D equations\nwritten in conformal variables. Contrary to the traditional approach, a small\nparameter in this theory is not the surface slope, but it is the ratio of a\ntypical wave length to a large transversal scale along the second horizontal\ncoordinate. A first-order correction for the Hamiltonian functional is\ncalculated, and the corresponding equations of motion are derived for steep\nwater waves over an arbitrary inhomogeneous quasi-1D bottom profile.",
"arxiv_id": "physics/0502146",
"authors": [
"Victor P. Ruban"
],
"categories": [
"physics.flu-dyn",
"physics.ao-ph"
],
"doi": "10.1103/PhysRevE.71.055303",
"title": "Quasi-planar steep water waves",
"url": "https://arxiv.org/abs/physics/0502146"
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