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- W2022264540 abstract "We analyze the self-focusing of gravity-capillary surface waves modeled by the Davey-Stewartson equations. This system governs the coupling of the wave amplitude to the induced mean flow and is an anisotropic two-dimensional Schrödinger equation with a non local cubic nonlinearity. With accurate numerical simulations based on dynamic rescaling and asymptotic analysis we show that the dynamics of singularity formation is critical, as in the usual two-dimensional cubic Schrödinger equation, which is the deep water limit of the Davey-Stewartson equations. We also derive a sharp upper bound for the initial amplitude of the wave that prevents singularity formation." @default.
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- W2022264540 title "The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves" @default.
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- W2022264540 doi "https://doi.org/10.1016/0167-2789(94)90167-8" @default.
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