Gravity waves on the surface of the sphere
Gravity waves on the surface of the sphere
复制标题
球体表面的重力波
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
P. Panayotaros
中科院分区：
文献类型：
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作者：
R. Llave;P. Panayotaros
本文提出了一个引力球周围流体层表面引力波的哈密顿模型。一般的运动方程是非局部的，可以作为简单模型的出发点，它可以通过在无量纲参数中扩展哈密顿量来系统地推导。在本文中，我们专注于小波振幅制度。一阶非线性项可以通过形式正则变换消除。类似地，可以消除许多二阶项。由此产生的模型的特点，它留下不变的几个有限维的子空间上的运动是可积的。
SummaryWe propose a Hamiltonian model for gravity waves on the surface of a fluid layer surrounding a gravitating sphere. The general equations of motion are nonlocal and can be used as a starting point for simpler models, which can be derived systematically by expanding the Hamiltonian in dimensionless parameters. In this paper, we focus on the small wave amplitude regime. The first-order nonlinear terms can be eliminated by a formal canonical transformation. Similarly, many of the second order terms can be eliminated. The resulting model has the feature that it leaves invariant several finite-dimensional subspaces on which the motion is integrable.