Abstract
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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