110 citations · 519 across the 24 of their papers we have counts for
3 papers · 1 filter
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…