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arXiv physics/0003076physics.flu-dynnlin.PSphysics.atm-clus
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液滴作为孤立波的非线性模式

Nonlinear Modes of Liquid Drops as Solitary Waves

Andrei Ludu, Jerry P. Draayer

摘要:

液滴表面的非线性流体动力学方程被示出为直接连接到Korteweg de Vries(KdV,MKdV)系统,给出椭圆余弦波的行波解。它们产生多尺度模式,从小的谐波振荡(线性化模型),非线性振荡,通过孤立波。这些非轴对称的局部形状也描述了一个KdV哈密顿系统。最近,当液滴的形状振荡变成非线性时,实验上观察到了这种"圆形“。这些结果适用于从团簇形成到恒星模型的水滴状系统,包括超变形核和裂变。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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