The effects of interplay between the rotation and shoaling for a solitary wave on variable topography
The effects of interplay between the rotation and shoaling for a solitary wave on variable topography
复制标题
孤立波的旋转和浅滩之间的相互作用对可变地形的影响
DOI：
10.1111/sapm.12255
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发表时间：
2018
影响因子：
2.7
通讯作者：
Y. Stepanyants
中科院分区：
文献类型：
--
作者：
Y. Stepanyants
本文介绍了奥斯特洛夫斯基方程框架内孤立波动力学的具体特征，该方程具有与底部地形可变的旋转海洋中的表面波和内波相关的可变系数。对于向海滩移动的孤立波，由旋转效应引起的终端衰减可以被浅滩效应抑制。详细分析了底部轮廓的两个基本示例，并通过直接数值建模提供支持。其中一个是恒定斜率底部，另一个是提供恒定幅度孤立波的特定底部轮廓。对真实海洋参数的估计表明，沿海地区稳定孤子动力学的预测效应可能会发生，特别是对于内波。
This paper presents specific features of solitary wave dynamics within the framework of the Ostrovsky equation with variable coefficients in relation to surface and internal waves in a rotating ocean with a variable bottom topography. For solitary waves moving toward the beach, the terminal decay caused by the rotation effect can be suppressed by the shoaling effect. Two basic examples of a bottom profile are analyzed in detail and supported by direct numerical modeling. One of them is a constant‐slope bottom and the other is a specific bottom profile providing a constant amplitude solitary wave. Estimates with real oceanic parameters show that the predicted effects of stable soliton dynamics in a coastal zone can occur, in particular, for internal waves.