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nlin.SI2023★ 5 cited
Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems
Dmitry Shepelsky, Iryna Karpenko, Stepan Bogdanov +1
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 sol…
nlin.SI2019
Nonlinear Fourier spectrum characterization of time-limited signals
Dmitry Shepelsky, Anastasiia Vasylchenkova, Jaroslaw E. Prilepsky +1
Addressing the optical communication systems employing the nonlinear Fourier transform (NFT) for the data modulation/demodulation, we provide an explicit proof for the properties o…