Variational derivation of the Camassa-Holm shallow water equation
Variational derivation of the Camassa-Holm shallow water equation
复制标题
DOI：
10.2991/jnmp.2007.14.3.1
复制
发表时间：
2007-01
影响因子：
0.7
通讯作者：
Delia Ionescu-Kruse
中科院分区：
文献类型：
--
作者：
Delia Ionescu-Kruse
摘要：我们描述了一个物理假设，在这个假设中得到了水波的近似模型。对于无旋转的单向浅水流，我们用拉格朗日形式的变分方法导出了CamassaHolm方程。
Abstract We describe the physical hypothesis in which an approximate model of water waves is obtained. For an irrotational unidirectional shallow water flow, we derive the CamassaHolm equation by a variational approach in the Lagrangian formalism.