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Soliton Turbulence and Water Wave Equations (Supercompact versus Fully Nonlinear)
Abstract:
We applied canonical transformation to water wave equation not only to remove cubic nonlinear terms but to simplify drastically fourth order terms in Hamiltonian. After the transformation the well-known but cumbersome Zakharov equation is drastically simplified and can be written in terms of envelope of wave surface in compact way. A numerical simulations of nonlinear stage of modulational instability of Stockes waves in the framework of this equation were performed. The numerical results of dissipation of water waves due to wave breaking were obtained.
Authors
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