Zou Qi-su. Nonlinear Modulation of the interfacial Waves of Two Superposed Fluids[J]. Applied Mathematics and Mechanics, 1982, 3(2): 225-234.
Citation: Zou Qi-su. Nonlinear Modulation of the interfacial Waves of Two Superposed Fluids[J]. Applied Mathematics and Mechanics, 1982, 3(2): 225-234.

Nonlinear Modulation of the interfacial Waves of Two Superposed Fluids

  • Received Date: 1981-08-22
  • Publish Date: 1982-04-15
  • The slow modulation of the interfacial capillary-gravity waves of two superposed fluids with uniform depths and solid walls is investigated by using the method of multiple sca.les.The evolution of a packet is described by the nonlinear Schrodinger equation, and then the stability of the so-called Stokes wave train is discussed.
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  • [1]
    Hasimoto,H.and Ono.H.,Nonlinear modulation of gravity waves,J.phys.Soc.Japan,33,(1972),805-811.
    [2]
    Davey,A.and Stewartson,K.,On three-dimensional packets of surface waves,Proc.R.Soc.,London A388,(1974),101-110.
    [3]
    Djordjevic,V.D.and Redekopp.L.G.,on two-dimensional packets of capillary-gravity waves,J.Fluid Mech.Vol.79,Part 4,(1977),pp.703-714.
    [4]
    谢定裕,《流体力学中的渐近方法》,中国科学院力学所,北京,(1979), 86-90.
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