二流体系统中自由面及界面上的二阶椭圆余弦波*
Second-Order Cnoidal Waves at the Free Surface and Interface of a Two-Fluid System
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摘要: 本文考虑[1]中所建立的模式,采用约化摄动法及PLK方法,求得了自由面及界面上的二阶椭圆余弦波。在退化情况下与文[3]和[4]的结果符合。Abstract: In this paper,using the PLK method and reductive perturbation method,we obtained the second approximation to cnoidal waves at the free surface and interface for the two-fluid system considered in [1].The corresponding results in [3] and [4] may be obtained as special cases in this paper.
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[1] 截世强,一个二流体系统中两对弧立波的相互作用,中国科学,A辑,26(1983),1008-1017. [2] 束星北等,用单站测录确定近海内潮波的方向和速度,海洋学报,7(1985).665-673. [3] Laitone,E.V.,The second approximation to cnoidal and solitary waves,Journal of Fluid Mechanics,9(1960),430-444. [4] Fenton,J.D.,A high-order cnoidal wave theory,J of Fluid Mechanics,94,1(1979),129-161. [5] 邱大洪,椭圆余弦波在工程中的应用,大连工学院学报,21(1980),87-96.
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