This paper presents an analytical investigation of the propagation of a weakly-nonlinear, long internal gravity wave in a stratified medium of finite total depth. The governing equation is derived and shown to reduce to the KdV equation in the shallow-water limit and to the Benjamin/Ono equation in the deep-water limit. The equation is also shown to possess four conserved quantities, just as was the case for the deep-water waves considered by Ono. The equation suggests the existence of a steady-state waveform described by two parameters which degenerates into the one-parameter, steady-state waveforms discussed by Benjamin. A numerical approach using Fornberg's pseudo-spectral method is used to examine the solution. The results demonstrate the existence of a solitary-wave-like steady-state solution with a soliton-like behavior. The effect of finite water depth on the waveform and the wave speed of the steady-state solitary waves is discussed. (DePo)


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    Title :

    Propagation of weakly nonlinear internal waves in a stratified fluid of finite depth


    Additional title:

    Fortpflanzung schwacher nichtlinearer Innenwellen in einer geschichteten Fluessigkeit endlicher Tiefe


    Contributors:
    Kubota, T. (author) / Ko, D.R. (author) / Dobbs, L. (author)

    Published in:

    Publication date :

    1978


    Size :

    10 Seiten, 10 Bilder, 10 Quellen


    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English