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- W1999548263 abstract "In several models for waves on water of finite depth, a great variety of surface-elevation profiles for steadily traveling waves can be generated by a spatial evolution law in which the time-like variable is one of the horizontal space variables. This is the case for both linear and weakly nonlinear models, including the Kadomtsev–Petviashvili equation (KP-II). At the linear level, these waves correspond to steady oblique interactions of one-dimensional wave trains. The shape of the waves is determined in a similar way in all cases – by initial data that specifies the wave slope along a single line oriented either parallel or perpendicular to the direction of propagation. As one application we compute a steady two-dimensional wake due to a pressure disturbance moving at near-critical speed in a weakly nonlinear regime. We find that the disturbance can generate solitary waves traveling obliquely in the wake, a phenomenon recently realized experimentally and found to be relevant to the safe operation of high-speed ferries." @default.
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- W1999548263 date "2000-11-01" @default.
- W1999548263 modified "2023-10-18" @default.
- W1999548263 title "Spatial wave dynamics of steady oblique wave interactions" @default.
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- W1999548263 doi "https://doi.org/10.1016/s0167-2789(00)00125-1" @default.
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