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. © 1998 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review Letters
Ludu, A., & Draayer, J. (1998). Nonlinear modes of liquid drops as solitary waves. Physical Review Letters, 80 (10), 2125-2128. https://doi.org/10.1103/PhysRevLett.80.2125