300 citations · 740 across the 24 of their papers we have counts for
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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…