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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Dai Shi-qiang, The interaction of two pairs of solitary waves in two-fluid system,Scientia Sinica, series. A,27, 5 (1984), 508–520.
Shu Xing-bei et al, Determination of the direction and velocity of internal tide wave by means of measurements at single station,Acta Oceanologica Sinica,5, 2 (1986), 173–182.
Laitone, E.V., The second approximation to cnoidal and solitary waves,Journal of Fluid Mechanics,9 (1960), 430–444.
Fenton, J.D., A high-order cnoidal wave theory,J. of Fluid Mechanics,94, 1 (1979), 129- 161.
Qiu Da-hong, The application of cnoidal waves theory,Journal of Dalian Institute of Technology,21, 1 (1982), 87–96. (in Chinese).
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Yu-lu, L., Shi-qiang, D. Second-order cnoidal waves at the free surface and interface of a two-fluid system. Appl Math Mech 8, 497–502 (1987). https://doi.org/10.1007/BF02017397
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DOI: https://doi.org/10.1007/BF02017397