Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
3-9-1998
Abstract/Description
The nonlinear dynamic equations of the surface of a liquid drop are shown to be directly connected to Korteweg–de Vries (KdV) 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 droplike systems from cluster formation to stellar models, including hyperdeformed nuclei and fission.
Publication Title
Physical Review Letters
DOI
https://doi.org/10.1103/PhysRevLett.80.2125
Publisher
American Physical Society
Grant or Award Name
U.S. National Science Foundation through a regular grant, No. 9603006, and Cooperative Agreement No. EPS-9550481, which includes matching support from the Louisiana Board of Regents Support Fund
Scholarly Commons Citation
Ludu, A., & Draayer, J. P. (1998). Nonlinear Modes of Liquid Drops as Solitary Waves. Physical Review Letters, 80(10). https://doi.org/10.1103/PhysRevLett.80.2125
