35 citations · 113 across the 8 of their papers we have counts for
4 papers · 1 filter
Evolution of One-Dimensional Wind-Driven Sea Spectra
A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov
We analyze modern operational models of wind wave prediction on the subject for compliance dissipation. Our numerical simulations from the "first principle" demonstrate that heuris…
Super compact equation for water waves
A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov
We derive very simple compact equation for gravity water waves which includes nonlinear wave term (`a la NLSE) and advection term (may results in wave breaking).
Free-Surface Hydrodynamics in the conformal variables
V. E. Zakharov, A. I. Dyachenko
The potential flow of two-dimensional ideal incompressible fluid with a free surface is studied. Using the theory of conformal mappings and Hamiltonian formalism allows us to deriv…
Collision of two breathers at surface of deep water
A. I. Dyachenko, V. E. Zakharov, D. I. Kachulin
We applied canonical transformation to water wave equation not only to remove cubic nonlinear terms but to simplify drastically fourth order terms in Hamiltonian. This transformati…