Andrey Gelash, Rustam Mullyadzhanov, “Anomalous errors of direct scattering transform”, Phys. Rev. E, 101, № 5, 2020, 052206
Sergey B. Medvedev, Irina A. Vaseva, Igor S. Chekhovskoy, Mikhail P. Fedoruk, 2021 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC), 2021, 1
S. K. Turitsyn, I. S. Chekhovskoy, M. P. Fedoruk, “Nonlinear Fourier transform for analysis of optical spectral combs”, Phys. Rev. E, 103, № 2, 2021, L020202
Igor Chekhovskoy, S.B. Medvedev, I.A. Vaseva, E.V. Sedov, M.P. Fedoruk, “Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem”, Communications in Nonlinear Science and Numerical Simulation, 96, 2021, 105718
E.V. Sedov, I.S. Chekhovskoy, J.E. Prilepsky, “Neural network for calculating direct and inverse nonlinear Fourier transform”, Quantum Electron., 51, № 12, 2021, 1118
Sergey Medvedev, Irina Vaseva, Dmitry Kachulin, Igor Chekhovskoy, Mikhail Fedoruk, “Fast nonlinear Fourier transform algorithms for optical data processing”, Opt. Lett., 49, № 8, 2024, 1884
Peter J. Prins, Sander Wahls, “Reliable computation of the eigenvalues of the discrete KdV spectrum”, Applied Mathematics and Computation, 433, 2022, 127361
Benedikt Leible, Daniel Plabst, Norbert Hanik, “Back-to-Back Performance of the Full Spectrum Nonlinear Fourier Transform and Its Inverse”, Entropy, 22, № 10, 2020, 1131
Egor Sedov, Yaroslav Prylepskiy, Igor Chekhovskoy, Sergei Turitsyn, Michael E. Zelinski, Tarek M. Taha, Jonathan Howe, Applications of Machine Learning 2021, 2021, 22
R. I. Mullyadzhanov, A. A. Gelash, “Magnus Expansion for the Direct Scattering Transform: High-Order Schemes”, Radiophys Quantum El, 63, № 9-10, 2021, 786