Nonlinear Modes of Liquid Drops as Solitary Waves

Details Nonlinear Modes of Liquid Drops as Solitary Waves Nonlinear Modes of Liquid Drops as Solitary Waves

2000-03-26

arxiv.org/abs/physics/0003076v1

Phys. Rev. Lett. {\bf 80} (1998) 2125

Physics

Fluid Dynamics

11 pages RevTex, 1 figure ps

Scientific paper

10.1103/PhysRevLett.80.2125

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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