110 citations · 519 across the 24 of their papers we have counts for
27 papers
Free Surface in 2D Potential Flow: Singularities, Invariants and Virtual Fluid
A. I. Dyachenko, S. A. Dyachenko, V. E. Zakharov
We study a 2D potential flow of an ideal fluid with a free surface with decaying conditions at infinity. By using the conformal variables approach, we study a particular solution o…
Lump interactions with plane solitons
Yury Stepanyants, Dmitry Zakharov, Vladimir Zakharov
We analyse the detail of interactions of two-dimensional solitary waves called lumps and one-dimensional line solitons within the framework of the Kadomtsev-Petviashvili equation d…
Lump chains in the KP-I equation
Charles Lester, Andrey Gelash, Dmitry Zakharov +1
We construct a broad class of solutions of the KP-I equation by using a reduced version of the Grammian form of the -function. The basic solution is a linear periodic chain of l…
Ghost interaction of breathers
Gang Xu, Andrey Gelash, Amin Chabchoub +2
Mutual interaction of localized nonlinear waves, e.g. solitons and modulation instability patterns, is a fascinating and intensively-studied topic of nonlinear science. In this res…
The Phillips spectrum and a model of wind-wave dissipation
Sergei I. Badulin, Vladimir E. Zakharov
We consider an extension of the kinetic equation developed by Newell & Zakharov (A.C. Newell and V.E. Zakharov. The role of the generalized Phillips' spectrum in wave turbulence. P…
Solutions to the Kaup--Broer System and Its 2+1 Dimensional Integrable Generalization via the Dressing Method
Patrik V. Nabelek, Vladimir E. Zakharov
In this paper we formulate the nonlocal dbar problem dressing method of Manakov and Zakharov [28, 29, 27] for the 4 scaling classes of the 1+1 dimensional Kaup--Broer system [7, 13…