两层界面内波的色散和非线性特征

Characteristics of Dispersion and Nonlinearity for Interfacial Waves

对两层流体的基本方程和边界条件进行动展开,分别通过一阶和二阶方程来分析界面波的色散和非线性特征,其中得到的色散关系和现有结果一致,而二阶传递函数可以退化为表面波的情况.如果考虑变底地形时,得到的浅化作用系数也可以退化为表面波的情况.

The basic equations and boundary conditions of a two-layer fluid are investigated by using a perturbation method,and the characteristics of dispersion and nonlinearity for interfacial waves are considered by analyzing the first and second order equations.The dispersion relations obtained here are consistent with the existing results,and the second transform functions can be reduced to be the results for surface waves when the density of the upper layer fluid is small enough to be neglected.When the bottom is varied,the shoaling coefficients can be also reduced to the results for surface waves.