Evolution Equations for Long, Nonlinear Internal Waves in Stratified Shear Flows
Evolution Equations for Long, Nonlinear Internal Waves in Stratified Shear Flows
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DOI：
10.1002/sapm1981652159
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发表时间：
1981-10
影响因子：
2.7
通讯作者：
R. Grimshaw
中科院分区：
文献类型：
--
作者：
R. Grimshaw
长，非线性内波的演化方程推导出时，基本的分层剪切流有一个缓慢的时间和空间变化，以及通常的依赖于垂直坐标。当水平波导具有有限的垂直范围时，演化方程是变系数Korteweg-deVries方程，而在深部流体情况下，演化方程是变系数Benjamin-Davis-Ono方程。这些方程的系数得到显式表达式。
Evolution equations for long, nonlinear internal waves are derived when the basic stratified shear flow has a slow temporal and spatial variation as well as the usual dependence on the vertical coordinate. When the horizontal waveguide has a limited vertical extent the evolution equation is a variable coefficient Korteweg‐deVries equation, while in the deep fluid case the evolution equation is a variable coefficient Benjamin‐Davis‐Ono equation. Explicit expressions are obtained for the coefficients of these equations.