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    Some new aspects of the joint effect of rotation and topography on internal solitary waves.

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    Article (1.122Mb)
    Date
    2019-06-13
    Author
    Ostrovsky, Lev A.  Concept link
    Helfrich, Karl R.  Concept link
    Metadata
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    Citable URI
    https://hdl.handle.net/1912/24437
    As published
    https://doi.org/10.1175/JPO-D-18-0154.1
    DOI
    10.1175/JPO-D-18-0154.1
    Keyword
     Internal waves; Differential equations; Nonlinear models; Ocean models 
    Abstract
    Using a recently developed asymptotic theory of internal solitary wave propagation over a sloping bottom in a rotating ocean, some new qualitative and quantitative features of this process are analyzed for internal waves in a two-layer ocean. The interplay between different singularities—terminal damping due to radiation and disappearing quadratic nonlinearity, and reaching an “internal beach” (e.g., zero lower-layer depth)—is discussed. Examples of the adiabatic evolution of a single solitary wave over a uniformly sloping bottom under realistic conditions are considered in more detail and compared with numerical solutions of the variable-coefficient, rotation-modified Korteweg–de Vries (rKdV) equation.
    Description
    Author Posting. © American Meteorological Society, 2019. This article is posted here by permission of American Meteorological Society for personal use, not for redistribution. The definitive version was published in Journal of Physical Oceanography 49(6), (2019): 1639-1649, doi: 10.1175/JPO-D-18-0154.1.
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    • Physical Oceanography (PO)
    Suggested Citation
    Ostrovsky, L. A., & Helfrich, K. R. (2019). Some new aspects of the joint effect of rotation and topography on internal solitary waves. Journal of Physical Oceanography, 49(6), 1639-1649.
     

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