Evolution Equations for Long, Nonlinear Internal Waves in Stratified Shear Flows
R. Grimshaw
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Source: Crossref
Published: Oct 1, 1981
DOI: 10.1002/sapm1981652159
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Evolution equations for long, nonlinear internal waves are derived when the basic stratified shear flow has a slow temporal and spatial variation as well as the usual dependence on the vertical coordinate. When the horizontal waveguide has a limited vertical extent the evolution equation is a variable coefficient Korteweg‐deVries equation, while in the deep fluid case the evolution equation is a variable coefficient Benjamin‐Davis‐Ono equation. Explicit expressions are obtained for the coefficients of these equations.
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