dorsal/arxiv
View SchemaNonlinear Modes of Liquid Drops as Solitary Waves
| Authors | Andrei Ludu, Jerry P. Draayer |
|---|---|
| Categories | |
| ArXiv ID | physics/0003076 |
| URL | https://arxiv.org/abs/physics/0003076 |
| DOI | 10.1103/PhysRevLett.80.2125 |
| Journal | Phys. Rev. Lett. {\bf 80} (1998) 2125 |
Abstract
The nolinear hydrodynamic equations of the surface of a liquid drop are shown to be directly connected to Korteweg de Vries (KdV, MKdV) systems, giving traveling solutions that are cnoidal waves. They generate multiscale patterns ranging from small harmonic oscillations (linearized model), to nonlinear oscillations, up through solitary waves. These non-axis-symmetric localized shapes are also described by a KdV Hamiltonian system. Recently such ``rotons'' were observed experimentally when the shape oscillations of a droplet became nonlinear. The results apply to drop-like systems from cluster formation to stellar models, including hyperdeformed nuclei and fission.
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"abstract": "The nolinear hydrodynamic equations of the surface of a liquid drop are shown\nto be directly connected to Korteweg de Vries (KdV, MKdV) systems, giving\ntraveling solutions that are cnoidal waves. They generate multiscale patterns\nranging from small harmonic oscillations (linearized model), to nonlinear\noscillations, up through solitary waves. These non-axis-symmetric localized\nshapes are also described by a KdV Hamiltonian system. Recently such ``rotons\u0027\u0027\nwere observed experimentally when the shape oscillations of a droplet became\nnonlinear. The results apply to drop-like systems from cluster formation to\nstellar models, including hyperdeformed nuclei and fission.",
"arxiv_id": "physics/0003076",
"authors": [
"Andrei Ludu",
"Jerry P. Draayer"
],
"categories": [
"physics.flu-dyn",
"nlin.PS",
"physics.atm-clus"
],
"doi": "10.1103/PhysRevLett.80.2125",
"journal_ref": "Phys. Rev. Lett. {\\bf 80} (1998) 2125",
"title": "Nonlinear Modes of Liquid Drops as Solitary Waves",
"url": "https://arxiv.org/abs/physics/0003076"
},
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