1998/03/09 by Andrei Ludu, Jerry P. Draayer, J. P. Draayer · 1 citation
Agricultural and Biological Sciences · Engineering · Physics and Astronomy · #Electrohydrodynamics and Fluid Dynamics #Fluid Dynamics and Heat Transfer #Plant Surface Properties and Treatments #nlin.PS #physics.atm-clus #physics.flu-dyn
paper · pdf · doi:10.1103/physrevlett.80.2125
published as Phys. Rev. Lett. {\bf 80} (1998) 2125 · 11 pages RevTex, 1 figure ps
openalex publication_date 1998/03/09 · arxiv created 2000/03/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.