300 citations · 740 across the 24 of their papers we have counts for
4 papers · 1 filter
Bi-solitons on the surface of a deep fluid: an inverse scattering transform perspective based on perturbation theory
Andrey Gelash, Sergey Dremov, Rustam Mullyadzhanov +1
We investigate theoretically and numerically the dynamics of long-living oscillating coherent structures - bi-solitons - in the exact and approximate models for waves on the free s…
Multisoliton interactions approximating the dynamics of breather solutions
D. S. Agafontsev, A. A. Gelash, S. Randoux +1
Breather solutions are considered to be generally accepted models of rogue waves. However, breathers are not localized, while wavefields in nature can generally be considered as lo…
Numerical direct scattering transform for breathers
I. Mullyadzhanov, A. Gudko, R. Mullyadzhanov +1
We consider the model of the focusing one-dimensional nonlinear Schrödinger equation (fNLSE) in the presence of an unstable constant background, which exhibits coherent solitary wa…
Soliton Gas: Theory, Numerics and Experiments
Pierre Suret, Stephane Randoux, Andrey Gelash +3
The concept of soliton gas was introduced in 1971 by V. Zakharov as an infinite collection of weakly interacting solitons in the framework of Korteweg-de Vries (KdV) equation. In t…