Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems
D Shepelsky, I Karpenko… - Proceedings of the …, 2024 - royalsocietypublishing.org
We consider the Riemann–Hilbert (RH) approach to the construction of periodic finite-band
solutions to the focusing nonlinear Schrödinger (NLS) equation. An RH problem for the …
solutions to the focusing nonlinear Schrödinger (NLS) equation. An RH problem for the …
Numerical direct scattering transform for breathers
II Mullyadzhanov, AS Gudko… - … of the Royal …, 2024 - royalsocietypublishing.org
We consider the model of the focusing one-dimensional nonlinear Schrödinger equation
(fNLSE) in the presence of an unstable constant background, which exhibits coherent …
(fNLSE) in the presence of an unstable constant background, which exhibits coherent …
Finite-Genus Solutions-based Optical Communication with the Riemann-Hilbert Problem Transmitter and a Convolutional Neural Network Receiver
S Bogdanov, D Shepelsky… - Journal of Lightwave …, 2024 - ieeexplore.ieee.org
In the study, we develop a new optical communication system based on the nonlinear
Fourier transform for generic (quasiperiodic) finite-genus solutions to the nonlinear …
Fourier transform for generic (quasiperiodic) finite-genus solutions to the nonlinear …
Fiber-optic communications based on finite-genus solutions to the NLS with a convolutional neural network receiver
We present a novel fibre-optic transmission system based on the phase modulation via
nonlinear Fourier transform for finite-genus signals with no periodicity constraint, which is …
nonlinear Fourier transform for finite-genus signals with no periodicity constraint, which is …
Periodic finite-band solutions to the focusing nonlinear Schr\"{o} dinger equation by the Riemann--Hilbert approach: inverse and direct problems
D Shepelsky, I Karpenvko, S Bogdanov… - arXiv preprint arXiv …, 2023 - arxiv.org
We consider the Riemann--Hilbert (RH) approach to the construction of periodic finite-band
solutions to the focusing nonlinear Schr\" odinger (NLS) equation, addressing the question …
solutions to the focusing nonlinear Schr\" odinger (NLS) equation, addressing the question …
Machine Learning For Performance Improvement of Long-Haul End-to-End Optical Transmission Systems
E Sedov - 2023 - publications.aston.ac.uk
The thesis focuses on addressing the challenges faced by optical fiber networks in keeping
up with the growing demand for data transfer, especially with the advent of 5G/6G and the …
up with the growing demand for data transfer, especially with the advent of 5G/6G and the …