三层流体模型的非线性波演化方程

本文在浅水波假定下，采用垂直向平均方法导出了三层流体模型的推广的Ｂｏｕｓｓｉｎｅｓｑ方程；同时也给出了三层流体模型基于Ａｉｒｙ理论的很长的长波方程，线性化波动方程以及单向传播波的ＫｄＶ方程，这些方程在退化精形可化为二层，单层流体模型的相应方程。

Evolution Equations for Nonlinear Waves in a Three-layer Fluid Model

In this paper, based on the Boussinesq's shallow-water wave assumption, the generalized Boussinesq equations for three-layer fluid model are derived by using the vertically-average method. The linearized wave equations, the very-long wave equations based on the Airy theory and the KdV equations for the three-layer fluid model are also presented. Those equations can be reduced to the corresponding equations for two-and one-layer fluid models in some special cases.