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• W3193612150 abstract "This article concerns the water wave problem in a three-dimensional domain of infinite depth and examines the modulational regime for weakly nonlinear wavetrains. We use the method of normal form transformations near the equilibrium state to provide a new derivation of the Hamiltonian Dysthe equation describing the slow evolution of the wave envelope. A precise calculation of the third-order normal form allows for a refined reconstruction of the free surface. We test our approximation against direct numerical simulations of the three-dimensional Euler system and against predictions from the classical Dysthe equation, and find very good agreement." @default.
• W3193612150 created "2021-08-30" @default.
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• W3193612150 date "2021-08-24" @default.
• W3193612150 modified "2023-09-27" @default.
• W3193612150 title "Hamiltonian Dysthe equation for 3D deep-water gravity waves" @default.
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• W3193612150 hasPublicationYear "2021" @default.
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