3-DIMENSIONAL PACKETS OF SURFACE-WAVES
3-DIMENSIONAL PACKETS OF SURFACE-WAVES
复制标题
DOI：
10.1098/rspa.1974.0076
复制
发表时间：
1974-01-01
影响因子：
--
通讯作者：
STEWARTSON, K
中科院分区：
文献类型：
--
作者：
DAVEY, A;STEWARTSON, K
本文用多重尺度法导出了描述有限水深中三维波包演化的两个耦合的非线性偏微分方程。利用该方程研究了均匀Stokes波列对长度尺度大于2π/k的小扰动的稳定性。所得到的稳定性判据与Hayes在更严格的条件下导出的判据是一致的，即扰动是振幅变化远小于相位变化的斜平面波。
In this note we use the method of multiple scales to derive thetwocoupled nonlinear partial differential equations which describe the evolution of a three-dimensional wave-packet of wavenumberkon water of finite depth. The equations are used to study the stability of the uniform Stokes wavetrain to small disturbances whose length scale is large compared with 2π/k. The stability criterion obtained is identical with that derived by Hayes under the more restrictive requirement that the disturbances are oblique plane waves in which the amplitude variation is much smaller than the phase variation.