About compact equations for water waves

A. I. Dyachenko (), D. I. Kachulin and V. E. Zakharov
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A. I. Dyachenko: Landau Institute for Theoretical Physics
D. I. Kachulin: Novosibirsk State University
V. E. Zakharov: Landau Institute for Theoretical Physics

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, 2016, vol. 84, issue 2, No 7, 529-540

Abstract: Abstract 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.

Keywords: Nonlinear water waves; Hamiltonian formalism; Modulational instability; Freak waves; Breather (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s11069-016-2478-7

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