Second-Order Cnoidal Waves at the Free Surface and Interface of a Two-Fluid System

Liu Yu-lu; Dai Shi-qiang

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(6): 479-484

Liu Yu-lu, Dai Shi-qiang. Second-Order Cnoidal Waves at the Free Surface and Interface of a Two-Fluid System[J]. Applied Mathematics and Mechanics, 1987, 8(6): 479-484.

Citation:

Liu Yu-lu, Dai Shi-qiang. Second-Order Cnoidal Waves at the Free Surface and Interface of a Two-Fluid System[J]. Applied Mathematics and Mechanics, 1987, 8(6): 479-484.

Citation:

Liu Yu-lu, Dai Shi-qiang. Second-Order Cnoidal Waves at the Free Surface and Interface of a Two-Fluid System[J]. Applied Mathematics and Mechanics, 1987, 8(6): 479-484.

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Second-Order Cnoidal Waves at the Free Surface and Interface of a Two-Fluid System

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received Date: 1986-06-09
Publish Date: 1987-06-15

Abstract

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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References(5)

References

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[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.