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Long, Robert R.; Morton, Jeffrey B. (2011)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
Subjects:
A solitary wave is found in a stratified, compressible fluid in a uniform gravity field. This wave depends for its existence on the compressibility of the medium no matter how small, although the speed of propagation is of the order of an internal gravity wave. The analytical discussion is carried out most fully for small compressibility. Another case, more appropriate for atmospheric problems, is solved by a numerical approach.DOI: 10.1111/j.2153-3490.1966.tb01447.x
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    • BENJAMIN, T. B., 1962, The solitary wave on a stream with an arbitrary distribution of vorticity. J. Fluid Mech., 12, pp. 97-116.
    • BOUSSINESQJ,., 1903, Thdmie analytigue de la chaleur, 2. Gauthier Villars, Paris.
    • KEULEQANG,. H., 1953, Characteristics of internal solitary waves. J. of Res., Nat. Bur. Standmda. 61, p. 133.
    • LAMB,SIR HORACE1,932, Hydrodynamics. Dover Press, New York.
    • LARSENL, . H., 1965, Comments on solitary waves in the westerlies. J . Atm. Sciences, 22, p. 222.
    • LONQR,. R., 1956, Solitary waves in one- and twofluid systems. Tellus, 8, p. 460.
    • LONQR,. R., 1964, Solitary waves in the westerlies. J. Atm. Sciences, 21, pp. 197-200.
    • LONGR, . R., 1965, On the Boussinesq approximation and its role in the theory of internal waves. Tellus, 17, pp. 46-52.
    • PETERS,A. S., and STOKERJ,. J., 1959, Solitary waves in liquids having a non-constant density. Comm. Pure App. Math., 18, p. 116.
    • URSELLF,., 1953, The long-wave paradox in the theory of gravity waves. Proc. Cambr. Phil. Soc., 49, p. 685.
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