110 citations · 519 across the 24 of their papers we have counts for
3 papers · 1 filter
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…
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…
On Optimal Canonical Variables in the Theory of Ideal Fluid with Free Surface
Pavel M. Lushnikov, Vladimir E. Zakharov
Dynamics of ideal fluid with free surface can be effectively solved by perturbing the Hamiltonian in weak nonlinearity limit. However it is shown that perturbation theory, which in…