2 papers
nlin.PS2026
Numerical Direct Scattering Transform for Dark Solitons
Ilya Mullyadzhanov, Sergey Dremov, Andrey Gelash
We introduce a numerical direct scattering transform scheme for dark solitons of the nonlinear Schrodinger equation, enabling the identification and complete characterization of no…
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…