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 …
Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems
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 …
Finite-Genus Solutions-based Optical Communication with the Riemann-Hilbert Problem Transmitter and a Convolutional Neural Network Receiver
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 …
The cell-average based neural network for numerical approximation of the nonlinear Schrödinger equation
Given the advantages of machine learning method with accuracy and high efficiency, when
compared with classical numerical methods, the cell-average based neural network (CANN) …
compared with classical numerical methods, the cell-average based neural network (CANN) …
Complexity Reduction of Neural Networks for Nonlinear Fourier Transform in Optical Transmission Systems
The nonlinear Fourier transform (NFT) method was proposed a decade ago as a tool for the
mitigation of nonlinear impairments in fiber-optic communication systems. Within the NFT …
mitigation of nonlinear impairments in fiber-optic communication systems. Within the NFT …
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… - ar**
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 …