Second-order random internal and surface waves in a two-fluid system

Details Second-order random internal and surface waves in a two-fluid system Second-order random internal and surface waves in a two-fluid system

Mar 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006georl..3306610l&link_type=abstract

Geophysical Research Letters, Volume 33, Issue 6, CiteID L06610

Physics

Geophysics

1

Nonlinear Geophysics: Nonlinear Waves, Shock Waves, Solitons (0689, 2487, 3280, 3285, 4275, 6934, 7851, 7852), Oceanography: Physical: Internal And Inertial Waves, Oceanography: Physical: Surface Waves And Tides (1222)

Scientific paper

Second-order solutions for internal and surface waves in a two-fluid system are derived using a perturbation technique. As expected, solutions of the second order are composed of the products of the first-order components. Super- and subharmonic transfer functions describing the relation between the first- and second-order wave amplitudes are introduced. For the self interaction of the first-order waves with a fixed wavenumber, there exist three combinations of linear waves. The associated superharmonic transfer function and the effects of second-order waves on wave profiles are examined. Furthermore, taking the density of the upper layer to be zero, present results include most existing theories for second-order surface waves as special cases.

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