On the modelling of short and intermediate water waves
On the modelling of short and intermediate water waves
复制标题
短波和中波水波的建模
DOI：
10.1016/j.aml.2023.108653
复制
发表时间：
2023
期刊：
影响因子：
--
通讯作者：
R. Ivanov
中科院分区：
文献类型：
--
作者：
R. Ivanov
研究了在深度相对于波长不小的情况下，有限深度和平底水波的传播。这种传播方式与著名的 KdV 方程描述的长波方式互补。哈密顿方法用于推导演化形式的模型方程，该模型方程既是非线性的又是非局部的，并且很可能不可积。讨论了数值解的可能含义。
The propagation of water waves of finite depth and flat bottom is studied in the case when the depth is not small in comparison to the wavelength. This propagation regime is complementary to the long-wave regime described by the famous KdV equation. The Hamiltonian approach is employed in the derivation of a model equation in evolutionary form, which is both nonlinear and nonlocal, and most likely not integrable. Possible implications for the numerical solutions are discussed.