浅海内波垂直模式方程的一种解析解
An expression of internal wave vertical modes equation in some shallow waters
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摘要: 给出了一些海区实测浮力频率剖面的数学模型.利用超几何函数对内波垂直模式方程进行了解析求解,得到内波模式方程的解析解和频散方程.利用得到的解析解给出了一种理想条件下内波前三阶简正模式的结构.Abstract: An mathematical expression of buoyancy frequency profile in some shallow waters is presented. Using resolution of hypergeometric equation,an analytical resolution of internal wave modes equation is obtained such as eigenfunction,frequency dispersion function.The results of an ideal condition ar ediscussed.
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Key words:
- buoyancy frequency /
- hypergeometric equation /
- modes equation
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徐肇廷.海洋内波动力学[M].北京:科学出版社,1999. PAUL H Leblond,LAWRENCE A Mysak.Waves in the Ocean[M].Amsterdam:Elsevier Scientific Publishing Company,1978. 弗拉泰 S M.起伏海洋中的声传播[M].高天赋译.北京:海洋出版社,1985. 王竹溪,郭敦仁.特殊函数概论[M].北京:北京大学出版社,2000.
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