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math-ph2019★ 29 cited
A Riemann-Hilbert approach to the modified Camassa-Holm equation with nonzero boundary conditions
Anne Boutet de Monvel, Iryna Karpenko, Dmitry Shepelsky
The paper aims at developing the Riemann-Hilbert problem approach to the modified Camassa-Holm (mCH) equation in the case when the solution is assumed to approach a non-zero consta…
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…