161 citations · 366 across the 9 of their papers we have counts for
9 papers
Short branch cut approximation in D Hydrodynamics with Free Surface
A. I. Dyachenko, S. A. Dyachenko, P. M. Lushnikov +1
A potential motion of ideal incompressible fluid with a free surface and infinite depth is considered in two-dimensional geometry. A time-dependent conformal mapping of the lower c…
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…
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…