The solitary wave in water of variable depth. Part 2
The solitary wave in water of variable depth. Part 2
复制标题
DOI：
10.1017/s0022112071000739
复制
发表时间：
1971-04
影响因子：
3.7
通讯作者：
R. Grimshaw
中科院分区：
文献类型：
--
作者：
R. Grimshaw
本文研究了由于底部地形缓慢变化而导致的孤立波的变形。确定孤立波参数缓慢变化的微分方程是通过应用于粘性方程中的精确方程的特定平均过程导出的。当底部地形仅在一个方向上变化并且波从均匀深度的区域演化时，求解参数方程。确定了振幅随深度的变化，并与最近的一些实验结果进行了比较。
This paper examines the deformation of a solitary wave due to a slow variation of the bottom topography. Differential equations which determine the slow variation of the parameters of a solitary wave are derived by a certain averaging process applied to the exact in viscid equations. The equations for the parameters are solved when the bottom topography varies only in one direction, and when the wave evolves from a region of uniform depth. The variation of amplitude with depth is determined and compared with some recent experimental results.