The fourth-order Zakharov equation for interfacial waves of two-layered fluids with finite depths is derived to include quintet interactions. Using this new equation the class I and class II instability and bifurcation of a two-dimensional Stokes interfacial wave into a three-dimensional steady wave is studied. Results are in good agreement with those by numerical calculations from the full unapproximated water wave and with experimental data.
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Zhou et al. (1992) studied this question.
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