| 两层界面内波的色散和非线性特征 |
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| 引用本文： | 曹立辉,杨红丽,杨联贵.两层界面内波的色散和非线性特征[J].内蒙古大学学报(自然科学版),2010,41(3). |
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| 作者姓名： | 曹立辉 杨红丽 杨联贵 |
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| 作者单位： | 内蒙古大学数学科学学院,呼和浩特,010021 |
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| 基金项目： | 中国科学院创新三期资源海洋基地重大项目，内蒙古自治区教育厅项目，内蒙古自然科学重点基金资助项目 |
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| 摘 要： | 对两层流体的基本方程和边界条件进行摂动展开,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.
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| 关 键 词： | 色散关系 二阶传递函数 浅化作用系数 |
Characteristics of Dispersion and Nonlinearity for Interfacial Waves |
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| CAO Li-Hui,YANG Hong-Li,YANG Lian-Gui.Characteristics of Dispersion and Nonlinearity for Interfacial Waves[J].Acta Scientiarum Naturalium Universitatis Neimongol,2010,41(3). |
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| Authors: | CAO Li-Hui YANG Hong-Li YANG Lian-Gui |
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| Institution: | CAO Li-Hui,YANG Hong-Li,YANG Lian-Gui(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China) |
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| Abstract: | 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 i... |
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| Keywords: | dispersion relation second order transform function shoaling coefficient |
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