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**44**.

## Article

Vasylchenkova, A., Prilepsky, J.e., Shepelsky, D. and Chattopadhyay, A.
(2019).
Direct nonlinear Fourier transform algorithms for the computation of solitonic spectra in focusing nonlinear Schrödinger equation.
*Communications in Nonlinear Science and Numerical Simulation*, 68
,
pp. 347-371.

Civelli, Stella, Turitsyn, Sergei K., Secondini, Marco and Prilepsky, Jaroslaw E.
(2019).
Polarization-multiplexed nonlinear inverse synthesis with standard and reduced-complexity NFT processing: erratum.
*Optics Express*, 27
(3),
p. 3617.

Prilepsky, Evgeni D. and Prilepsky, Jaroslaw E.
(2018).
Estimation of Optimal Parameter of Regularization of Signal Recovery.
*Radioelectronics and Communications Systems*, 61
(9),
pp. 406-418.

Kamalian, Morteza, Vasylchenkova, Anastasiia, Shepelsky, Dmitry, Prilepsky, Jaroslaw E. and Turitsyn, Sergei K.
(2018).
Signal modulation and processing in nonlinear fibre channels by employing the Riemann-Hilbert problem.
*Journal of Lightwave Technology*
,

Vasylchenkova, Anastasiia, Prilepsky, Jaroslaw E. and Turitsyn, Sergei K.
(2018).
Contour integrals for numerical computation of discrete eigenvalues in the Zakharov–Shabat problem.
*Optics Letters*, 43
(15),
pp. 3690-3693.

Kovalev, A. S. and Prilepsky, Jaroslaw E.
(2018).
Interaction of magnetic vortices with defects.
*Low Temperature Physics*, 44
(7),
pp. 663-670.

Civelli, S., Turitsyn, S. K., Secondini, M. and Prilepsky, J. E.
(2018).
Polarization-multiplexed nonlinear inverse synthesis with standard and reduced-complexity NFT processing.
*Optics Express*, 26
(13),

Shevchenko, Nikita A., Derevyanko, Stanislav A., Prilepsky, Jaroslaw E., Alvarado, Alex, Bayvel, Polina and Turitsyn, Sergei K.
(2018).
Capacity Lower Bounds of the Noncentral Chi-Channel with Applications to Soliton Amplitude Modulation.
*IEEE Transactions on Communications*
,
p. 1.

Kamalian, Morteza, Prilepsky, Jaroslaw E., Le, Son Thai and Turitsyn, Sergei K.
(2017).
On the design of NFT-based communication systems with lumped amplification.
*Journal of Lightwave Technology*
,
p. 1.

Turitsyn, Sergei K., Prilepsky, Jaroslaw E., Le, Son Thai, Wahls, Sander, Frumin, Leonid L., Kamalian, Morteza and Derevyanko, Stanislav A.
(2017).
Nonlinear Fourier transform for optical data processing and transmission:advances and perspectives.
*Optica*, 4
(3),
pp. 307-322.

Derevyanko, Stanislav A., Prilepsky, Jaroslaw E. and Turitsyn, Sergei K.
(2016).
Capacity estimates for optical transmission based on the nonlinear Fourier transform.
*Nature Communications*, 7
,

Kamalian, Morteza, Prilepsky, Jaroslaw E., Le, Son Thai and Turitsyn, Sergei K.
(2016).
Periodic nonlinear Fourier transform for fiber-optic communications, Part I:theory and numerical methods.
*Optics Express*, 24
(16),
pp. 18353-18369.

Kamalian, Morteza, Prilepsky, Jaroslaw E., Le, Son Thai and Turitsyn, Sergei K.
(2016).
Periodic nonlinear Fourier transform for fiber-optic communications, Part II:eigenvalue communication.
*Optics Express*, 24
(16),
pp. 18370-18381.

Le, Son Thai, Phillips, Ian D., Prilepsky, Jaroslaw E., Harper, Paul, Ellis, Andrew D and Turitsyn, Sergei K.
(2016).
Demonstration of nonlinear inverse synthesis transmission over transoceanic distances.
*Journal of Lightwave Technology*, 34
(10),
pp. 2459-2466.

Le, Son Thai, Prilepsky, Jaroslaw E., Rosa, Paweł, Ania-Castañón, Juan Diego and Turitsyn, Sergei K.
(2016).
Nonlinear inverse synthesis for optical links with distributed Raman amplification.
*Journal of Lightwave Technology*, 34
(8),
pp. 1778-1786.

Le, Son Thai, Prilepsky, Jaroslaw E. and Turitsyn, Sergei K.
(2015).
Nonlinear inverse synthesis technique for optical links with lumped amplification.
*Optics Express*, 23
(7),
pp. 8317-8328.

Le, Son Thai, Prilepsky, Jaroslaw E. and Turitsyn, Sergei K.
(2014).
Nonlinear inverse synthesis for high spectral efficiency transmission in optical fibers.
*Optics Express*, 22
(22),
pp. 26720-26741.

Prilepsky, Jaroslaw E., Derevyanko, Stanislav A., Blow, Keith J., Gabitov, Ildar and Turitsyn, Sergei K.
(2014).
Nonlinear inverse synthesis and eigenvalue division multiplexing in optical fiber channels.
*Physical Review Letters*, 113
(1),

Johansson, Magnus, Prilepsky, Jaroslaw E. and Derevyanko, Stanislav A.
(2014).
Strongly localized moving discrete dissipative breather-solitons in Kerr nonlinear media supported by intrinsic gain.
*Physical Review E*, 89
(4),

Prilepsky, Jaroslaw E., Derevyanko, Stanislav A. and Turitsyn, Sergei K.
(2013).
Nonlinear spectral management:linearization of the lossless fiber channel.
*Optics Express*, 21
(20),
pp. 24344-24367.

Prilepsky, Jaroslaw E., Yulin, Alexey V., Johansson, Magnus and Derevyanko, Stanislav A.
(2012).
Discrete solitons in coupled active lasing cavities.
*Optics Letters*, 37
(22),
pp. 4600-4602.

Prilepsky, Jaroslaw E., Derevyanko, Stanislav A. and Turitsyn, Sergei K.
(2012).
Temporal solitonic crystals and non-Hermitian informational lattices.
*Physical Review Letters*, 108
(18),

Derevyanko, Stanislav, Prylepskiy, Yaroslav and Turitsyn, Sergei
(2012).
Lattice approach to the dynamics of phase-coded soliton trains.
*Journal of physics A: mathematical and theoretical*, 45
(2),

Derevyanko, Stanislav, Prilepsky, Jaroslaw E. and Gredeskul, Sergey A.
(2011).
Controlling soliton refraction in optical lattices.
*Physical Review Letters*, 107
(8),

Kovaleva, A.S., Prilepsky, J.E., Kryukov, E.A. and Kulik, N.V.
(2010).
Resonance properties of domain boundaries in quasi-two dimensional antiferromagnets.
*Low Temperature Physics*, 36
(8),
pp. 831-837.

Gredeskul, Sergey A., Derevyanko, Stanislav, Kovalev, Alexander S. and Prilepsky, Jaroslaw E.
(2010).
Soliton propagation through a disordered system:statistics of the transmission delay.
*Physical Review E*, 81
(3),

Kovalev, A.S., Prilepsky, Jaroslaw E., Gredeskul, Sergey A. and Derevyanko, Stanislav
(2008).
Soliton transmission through a disordered system.
*Low Temperature Physics*, 34
(7),
pp. 559-563.

Prilepsky, Jaroslaw E., Derevyanko, Stanislav A. and Turitsyn, Sergei
(2007).
Conversion of a chirped Gaussian pulse to a soliton or a bound multisoliton state in quasi-lossless and lossy optical fiber spans.
*Journal of the Optical Society of America B*, 24
(6),
pp. 1254-1261.

Prilepsky, Jaroslaw E. and Derevyanko, Stanislav A.
(2007).
Breakup of a multisoliton state of the linearly damped nonlinear Schrödinger equation.
*Physical Review E*, 75
(3),

Derevyanko, Stanislav A., Prilepsky, Jaroslaw E. and Yakushev, Dennis A.
(2006).
Statistics of a noise-driven Manakov soliton.
*Journal of Physics A: Mathematical and General*, 39
(6),
pp. 1297-1309.

Prilepsky, Jaroslaw E. and Derevyanko, Stanislav A.
(2005).
Statistics of noise-driven coupled nonlinear oscillators:applications to systems with Kerr nonlinearity.
*Physica D*, 203
(3-4),
pp. 249-269.

## Book Section

Vasylchenkova, Anastasiia, Pankratova, Maryna, Prilepsky, Jaroslaw E., Chichkov, Nikolay B. and Turitsyn, Sergei K.
(2019).
*Signal-dependent noise for b-modulation NFT-based transmission.*
IN: CLEO/Europe-EQEC Conference.
IEEE.

Pankratova, Maryna, Vasylchenkova, Anastasiia, Prilepsky, Jaroslaw E. and Derevyanko, Stanislav A.
(2019).
*Study of Noise-Induced Signal Corruption for Nonlinear Fourier-Based Optical Transmission.*
IN: 2018 British and Irish Conference on Optics and Photonics, BICOP 2018 - Proceedings.
IEEE.

Kotlyar, Oleksandr, Pankratova, Maryna, Kamalian Kopae, Morteza, Vasylchenkova, Anastasiia, Prilepsky, Jaroslaw E. and Turitsyn, Sergei K.
(2019).
*Unsupervised and supervised machine learning for performance improvement of NFT optical transmission.*
IN: 2018 British and Irish Conference on Optics and Photonics, BICOP 2018 - Proceedings.
IEEE.

Kamalian Kopae, Morteza, Shepelsky, Dmitry, Vasylchenkova, Anastasiia, Prilepsky, Jaroslaw E. and Turitsyn, Sergei K.
(2018).
*Communication System Using Periodic Nonlinear Fourier Transform Based on Riemann-Hilbert Problem.*
IN: 2018 European Conference on Optical Communication (ECOC).
IEEE.

Kamalian Kopae, Morteza, Vasylchenkova, Anastasiia, Prilepsky, Jaroslaw E., Shepelsky, Dmitry and Turitsyn, Sergei K.
(2018).
*Communication system based on periodic nonlinear Fourier transform with exact inverse transformation.*
IN: 2018 European Conference on Optical Communication (ECOC).
IEEE.

Civelli, Stella, Turitsyn, Sergei K., Secondini, Marco and Prilepsky, Jaroslaw E.
(2018).
*Reduced-Complexity Nonlinear Inverse Synthesis Transmission Method with Polarization Division Multiplexing.*
IN: 2018 European Conference on Optical Communication (ECOC).
IEEE.

Pankratova, Maryna, Vasylchenkova, Anastasiia, Prilepsky, Jaroslaw E. and Derevyanko, Stanislav A.
(2018).
*Properties of the effective noise in the nonlinear Fourier transform-based transmission.*
IN: Frontiers in Optics / Laser Science.
Optical Society of America.

Kamalian Kopae, Morteza, Prilepsky, Jaroslaw E., Le, Son Thai and Turitsyn, Sergei K.
(2016).
*Optical communication based on the periodic nonlinear Fourier transform signal processing.*
IN: 2016 IEEE 6th International Conference on Photonics, ICP.
IEEE.

Le, S.T., Phillips, I.D., Prilepsky, J.E., Harper, P., Doran, N.J., Ellis, A.D. and Turitsyn, S.K.
(2016).
*First experimental demonstration of nonlinear inverse synthesis transmission over transoceanic distances.*
IN: Optical Fiber Communication Conference 2016.
OSA Technical Digest
.
Optical Society of America.

Shevchenko, Nikita A., Prilepsky, Jaroslaw E., Derevyanko, Stanislav A., Alvarado, Alex, Bayvel, Polina and Turitsyn, Sergei K.
(2015).
*A lower bound on the per soliton capacity of the nonlinear optical fibre channel.*
IN: ITW2015 : 2015 IEEE Information Theory Workshop.
IEEE.

Wahls, Sander, Le, Son Thai, Prylepskiy, Yaroslav E., Poor, H. Vincent and Turitsyn, Sergei K.
(2015).
*Digital backpropagation in the nonlinear Fourier domain.*
IN: 16th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC.
IEEE.

## Monograph

Shepelsky, Dmitry, Vasylchenkova, Anastasiia, Prilepsky, Jaroslaw E. and Karpenko, I.
(2019).
*On the rigorous justification of b-modulation method and inclusion of discrete eigenvalues.*
Working Paper.
arXiv.org.

## Conference or Workshop Item

Pankratova, Maryna, Vasylchenkova, Anastasiia and Prilepsky, Jaroslaw E.
(2019).
Noise-induced signal corruption in nonlinear Fourier-based optical transmission system in the presence of discrete eigenvalues.
IN: *The International Conference on Optical Communication Systems*. The Vienna House Diplomat Prague, 2019-07-26 - 2019-07-28.

**Sat Sep 21 02:13:05 2019 BST**.