300 citations · 740 across the 24 of their papers we have counts for
4 papers · 1 filter
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…
Rogue waves with rational profiles in unstable condensate and its solitonic model
D. S. Agafontsev, A. A. Gelash
In this brief report we study numerically the spontaneous emergence of rogue waves in (i) modulationally unstable plane wave at its long-time statistically stationary state and (ii…
Solitons in a box-shaped wavefield with noise: perturbation theory and statistics
Rustam Mullyadzhanov, Andrey Gelash
We investigate the fundamental problem of the nonlinear wavefield scattering data corrections in response to a perturbation of initial condition using inverse scattering transform…
Nonlinear spectral synthesis of soliton gas in deep-water surface gravity waves
Pierre Suret, Alexey Tikan, Félicien Bonnefoy +9
Soliton gases represent large random soliton ensembles in physical systems that display integrable dynamics at the leading order. Despite significant theoretical developments and o…