About compact equations for water waves
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A simple compact equation for gravity water waves, which includes a nonlinear wave term and advection term, is derived. Numerical simulations in the framework of this equation demonstrate an initial stage of freak wave breaking.
KeywordsNonlinear water waves Hamiltonian formalism Modulational instability Freak waves Breather
This work was supported by Grant “Wave turbulence: theory, numerical simulation, experiment” #14-22-00174 of Russian Science Foundation.