两种叠合流体间界面波的非线性调制
Nonlinear Modulation of the interfacial Waves of Two Superposed Fluids
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摘要: 本文用多重尺度法研究等深度及固定壁面的两种叠合流体间界面上的重力-表面张力波的缓慢调制,推出第一阶的调制波的演化由非线性Schrödinger方程所描述,然后讨论了所谓的“Stokes波”的稳定性.Abstract: 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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