Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (6): 497-502.

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SECOND-ORDER CNOIDAL WAVES AT THE FREE SURFACE AND INTERFACE OF A TWO-FLUID SYSTEM

Liu Yu-lu, Dai Shi-qiang   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • Received:1986-06-09 Online:1987-06-18 Published:1987-06-18
  • Supported by:

    Projects Supported by the Science Fund of the Chinese Academy of Sciences.

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.

Key words: stratification, well-posedness, secondaire

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