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nlin.PS2023
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…
nlin.PS2023
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…