9 citations · 11 across the 3 of their papers we have counts for
9 papers
Right and left inverse scattering problems formulations for the Zakharov-Shabat system
Alexander Chernyavsky, Leonid Frumin, Andrey Gelash
We consider right and left formulations of the inverse scattering problem for the Zakharov-Shabat system and the corresponding integral Gelfand-Levitan-Marchenko equations. Both fo…
Vector breathers in the Manakov system
Andrey Gelash, Anton Raskovalov
We study theoretically the nonlinear interactions of vector breathers propagating on an unstable wavefield background. As a model, we use the two-component extension of the one-dim…
Bound-state soliton gas as a limit of adiabatically growing integrable turbulence
D. S. Agafontsev, A. A. Gelash, R. I. Mullyadzhanov +1
We study numerically the integrable turbulence in the framework of the one-dimensional nonlinear Schrodinger equation (1D-NLSE) of the focusing type using a new approach called the…
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…
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…