35 citations · 113 across the 8 of their papers we have counts for
3 papers · 1 filter
Numerical simulation of surface waves instability on a discrete grid
A. O. Korotkevich, A. I. Dyachenko, V. E. Zakharov
We perform full-scale numerical simulation of instability of weakly nonlinear waves on the surface of deep fluid. We show that the instability development leads to chaotization and…
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…