35 citations · 113 across the 8 of their papers we have counts for
8 papers
Poles and branch cuts in free surface hydrodynamics
P. M. Lushnikov, V. E. Zakharov
We consider the motion of ideal incompressible fluid with free surface. We analyzed the exact fluid dynamics though the time-dependent conformal mapping of the lowe…
Dynamics of Poles in 2D Hydrodynamics with Free Surface: New Constants of Motion
A. I. Dyachenko, S. A. Dyachenko, P. M. Lushnikov +1
We address a problem of potential motion of ideal incompressible fluid with a free surface and infinite depth in two dimensional geometry with gravity forces and surface tension. A…
Non-Canonical Hamiltonian Structure and Poisson Bracket for 2D Hydrodynamics with Free Surface
A. I. Dyachenko, P. M. Lushnikov, V. E. Zakharov
We consider Euler equations for potential flow of ideal incompressible fluid with a free surface and infinite depth in two dimensional geometry. Both gravity forces and surface ten…
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).
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…