Публикации 2023 года

[1]	O.V. Belai, L.L. Frumin, and A.E. Chernyavsky. Algorithms for solving the inverse scattering problem for the Manakov model. Journal of Computational Mathematics and Mathematical Physics, 64(3):453-464, 2024. [ DOI ]
[2]	A.E. Chernyavsky, L.L. Frumin, and A.A. Gelash. Right and left inverse scattering problems formulations for the Zakharov–Shabat system. Journal of Inverse and Ill-posed Problems, 2024. [ DOI ]
[3]	I. Mullyadzhanov, A. Gudko, R. Mullyadzhanov, and A. Gelash. Numerical direct scattering transform for breathers. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2024.[ DOI ]
[4]	A.E. Verevkin, A.S. Bereza, and D.A. Shapiro. Scattering of long-wave radiation on two parallel cylinders. Radiophysics and Quantum Electronics, 2024. [in print]
[5]	O.V. Belai, S.P. Kiselev, and V.P. Kiselev. Numerical simulation of a nanoparticle impact onto a target by the molecular dynamic’s method under the conditions of cold gas-dynamic spraying. Journal of Applied Mechanics and Technical Physics, 64(6):964-971, 2023. [ DOI ]
[6]	A.E. Chernyavsky and L.L. Frumin. Inverse scattering transform algorithm for the Manakov system. Computer Optics, 47(6):856-862, 2023. [ URL ] [ DOI ]
[7]	Alexander Chernyavsky, Alexey Bereza, Leonid Frumin, and David Shapiro. Modeling of Subwavelength Gratings: Near-Field Behavior. Photonics, 10(12):1332, 2023 [ DOI ].
[8]	V.V. Pai, Y.L. Lukyanov, and L.L. Frumin. On the influence of temperature dependence of the viscosity coefficient on the process of high-speed deformation of metal. Izvestiya of Volgograd State Technical University, ser. Explosive Welding and Properties of Welded Joints, 11(282):12-15, 2023 [ РИНЦ ] [ DOI ].
[9]	E.G. Shapiro and D.A. Shapiro. Phase-Modulated Format of Off-Center Chirped Data Transmission over a High-Speed Optical Link without Dispersion Compensation. Bulletin of the Lebedev Physics Institute, 50(10):S1156-S1162, 2023 [ DOI ].

Публикации 2022 года

[1]	Anton Nemykin, Leonid Frumin, and David Shapiro. Light scattering by a subwavelength plasmonic array: anisotropic model. Sensors, 22(2):449, 2022. [ DOI ]
[2]	S.V. Perminov and D.A. Shapiro. Resonant absorption of plasmonic cylinder near boundary between dielectrics. Physics Letters A, 447:128295, 2022. [ DOI ]
[3]	A.A. Raskovalov and A.A. Gelash. Resonant interactions of vector breathers. JETP Letters, 115(1):45, 2022. [ DOI ]
[4]	A.A. Raskovalov, A.A. Gelash. Resonanse interaction of breathers in the Manakov system. TMF, 213(3):418-436, 2022. [ DOI ]
[5]	E.G. Shapiro and D.A. Shapiro. Statistics of nonlinear noise in a high-speed optical communication line without dispersion compensation. Quantum Electronics, 52(8):759-763, 2022. [ URL ]
[6]	D.S. Agafontsev, A.A. Gelash, R.I. Mullyadzhanov, and V.E. Zakharov. Bound-state soliton gas as a limit of adiabatically growing integrable turbulence. Chaos, Solitons and Fractals, 166:112951, 2022. [ DOI ]
[7]	O.V. Belai. Fast numerical method of the second order of accuracy for solving the inverse scattering problem Quantum Electronics, 52(11):1039-1043, 2022 [ URL ].
[8]	A.V. Nemykin and D.A. Shapiro. Diffraction by a perfectly conducting strip grating Quantum Electronics, 52(11):1031-1038, 2022 [ URL ].

Публикации 2021 года

[1]	D.S. Agafontsev and A.A. Gelash. Rogue waves with rational profiles in unstable condensate and its solitonic model. Frontiers in Physics, 9:610896, 2021. [ DOI ]
[2]	Stepan A. Bogdanov and Leonid L. Frumin. Soliton orthogonal frequency division multiplexing with phase-frequency coding on the base of inverse scattering transform. Journal of Inverse and Ill-posed Problems, 29(4):629-634, 2021. [ DOI ]
[3]	Leonid L. Frumin. Algorithms for solving scattering problems for the Manakov model of nonlinear Schrödinger equations. Journal of Inverse and Ill-posed Problems, 29(3):369-383, 2021. [ DOI ]
[4]	Andrey Gelash, Dmitry Agafontsev, Pierre Suret, and Stéphane Randoux. Solitonic model of the condensate. Phys. Rev. E, 104:044213, Oct 2021. [ DOI ]
[5]	R.I. Mullyadzhanov and A.A. Gelash. Magnus expansion for the direct scattering transform: High-order schemes. Radiophysics and Quantum Electronics, 63(9):786-803, jul 2021. [ DOI ]
[6]	Rustam Mullyadzhanov and Andrey Gelash. Solitons in a box-shaped wave field with noise: Perturbation theory and statistics. Phys. Rev. Lett., 126:234101, 2021. [ DOI ]
[7]	E.G. Shapiro and D.A. Shapiro. Suppression of nonlinear distortion in a high-speed multichannel communication line with variable quadratic dispersion compensation. Quantum Electronics, 51(7):635-683, jul 2021. [ DOI ]
[8]	Charles Lester, Andrey Gelash, Dmitry Zakharov, and Vladimir Zakharov. Lump chains in the KP-I equation. Studies in Applied Mathematics, (other information is not available). [ DOI ]

Публикации 2020 года

[1]	A Gudko, A Gelash, and R Mullyadzhanov. High-order numerical method for scattering data of the Korteweg-de Vries equation. Journal of Physics: Conference Series, 1677:012011, 2020. [ DOI ]
[2]	E.G. Shapiro and D.A. Shapiro. Nonlinear noise suppression in a high-rate optical channel with phase modulation and dispersion compensation. Quantum Electronics, 50(2):184-186, 2020. [ DOI ]
[3]	Leonid L. Frumin. Linear least squares method in nonlinear parametric inverse problems. Journal of Inverse and Ill-posed Problems, 28(2):307-312, 2020. [ DOI ]
[4]	Andrey Gelash and Rustam Mullyadzhanov. Anomalous errors of direct scattering transform. Phys. Rev. E, 101(5):052206, 2020. [ DOI ]
[5]	N.I. Gorbenko, V.P. Il’in, A.M. Krylov, and L.L. Frumin. The numerical solution of the direct zakharov-shabat scattering problem. Siberian Journal of Numerical Mathematics, 23(2):117-125, 2020. [ DOI ]
[6]	L.L. Frumin and D.A. Shapiro. Sensitivity enhancement of plasmonic grating in the local field. Opt. Express, 28(18):26143-26150, 2020. [ DOI ]
[7]	E.G. Shapiro and D.A. Shapiro. Suppression of nonlinear noise in a high-speed optical channel with variable dispersion compensation. Journal of Optical Communications, 2020. [ DOI ]
[8]	Gang Xu, Andrey Gelash, Amin Chabchoub, Vladimir Zakharov, and Bertrand Kibler. Ghost interaction of breathers. Frontiers in Physics, 8:571, 2020. [ DOI ]

Публикации 2019 года

[1]	A.S. Bereza, L.L. Frumin, A.V. Nemykin, S.V. Perminov, and D.A. Shapiro. Perturbation series for the scattering of electromagnetic waves by parallel cylinders. EPL (Europhysics Letters), 127(2):20002, 2019. [ DOI ]
[2]	N.I. Gorbenko, V.P. Il’in, and L.L. Frumin. Calculation of light scattering on a bragg grating by recursion of transfer matrices on a nonuniform grid. Optoelectronics, Instrumentation and Data Processing, 55:32-40, 2019. [ DOI ]
[3]	V. Nesterov, D. Nies, O. Belai, S. Buetefisch, J. Kirchhoff, M. Mueller, and U. Brand. The status of PTB’s nanonewton force facility. IEEE Transactions on Instrumentation and Measurement, 68(6):1982-1989, 2019. [ DOI ]
[4]	Sergey V. Perminov, Leonid L. Frumin, and David A. Shapiro. Discrete dipole approximation for lossy plasmonic background. Opt. Lett., 44(13):3238-3241, 2019. [ DOI ]

Публикации за предыдущий период

[1]	A.V. Nemykin, A.S. Bereza, and D.A. Shapiro. Perturbation theory in the problem of light scattering by a dielectric body. JETP. Letters, 108(9):577-581, 2018. [ DOI ]
[2]	E.V. Sedov, A.A. Redyuk, M.P. Fedoruk, A.A. Gelash, L.L. Frumin, and S.K. Turitsyn. Soliton content in the standard optical OFDM signal. Opt. Lett., 43(24):5985–5988, 2018. [ DOI ]
[3]	E.G. Shapiro and D.A. Shapiro. Optimization of the capacity of a fiber communication line with nonlinear memory. Optoelectronics, Instrumentation and Data Processing, 54(4):411–418, 2018. [ DOI ]
[4]	E.G. Shapiro and D.A. Shapiro. Suppression of nonlinear interaction in a high-speed optical channel with dispersion compensation. Quantum Electronics, 48(12):1157–1159, 2018. [ DOI ]
[5]	A. Tusnin and D. Shapiro. Influence of higher modes on plasmonic force in a narrow slit. OSA Continuum, 1(2):384–391, 2018. [ DOI ]
[6]	A.S. Bereza, A.V. Nemykin, S.V. Perminov, L.L. Frumin, and D.A. Shapiro. Light scattering by dielectric bodies in the Born approximation. Phys. Rev. A, 95(6):063839, 2017. [ DOI ]
[7]	Leonid L. Frumin, Anton V. Nemykin, and David A. Shapiro. Frustration of the total reflection by a hidden scatterer. Appl. Opt., 56(3):649–653, 2017. [ DOI ]
[8]	L.L. Frumin, A.A. Gelash, and S.K. Turitsyn. New approaches to coding information using inverse scattering transform. Phys. Rev. Lett., 118(22):223901, 2017. [ DOI ]
[9]	L.L. Frumin, A.K. Tusnin, O.V. Belai, and D.A. Shapiro. Effects of imperfect angular adjustment on plasmonic force. Opt. Express, 25(25):31801–31809, 2017. [ DOI ]
[10]	E.G. Shapiro and D.A. Shapiro. Influence of nonlinear interaction on the capacity of an optical dispersion-compensated channel. Quantum Electronics, 47(11):1049–1052, 2017. [ DOI ]
[11]	S.K. Turitsyn, J.E. Prilepsky, S.T. Le, S. Wahls, L.L. Frumin, M. Kamalian, and S.A. Derevyanko. Nonlinear Fourier transform for optical data processing and transmission: advances and perspectives. Optica, 4(3):307–322, 2017. [ DOI ]
[12]	S.R. Abdullina, A.A. Vlasov, I.A. Lobach, O.V. Belai, D.A. Shapiro, and S.A. Babin. Single-frequency Yb-doped fiber laser with distributed feedback based on a random FBG. Laser Physics Letters, 13(7):075104, 2016. [ DOI ]
[13]	V. Nesterov, O. Belai, D. Nies, S. Buetefisch, M. Mueller, T. Ahbe, D. Naparty, R. Popadic, and H. Wolff. Si-traceable determination of the spring constant of a soft cantilever using the nanonewton force facility based on electrostatic methods. Metrologia, 53(4):1031, 2016. [ DOI ]
[14]	David Shapiro, Daniel Nies, Oleg Belai, Matthias Wurm, and Vladimir Nesterov. Optical field and attractive force at the subwavelength slit. Opt. Express, 24(14):15972–15977, 2016. [ DOI ]
[15]	E.G. Shapiro and D.A. Shapiro. Evaluation of the capacity of communication lines with nonlinear finite memory. Quantum Electronics, 46:1117–1120, 2016. [ DOI ]
[16]	L.L. Frumin, O.V. Belai, E.V. Podivilov, and D.A. Shapiro. Efficient numerical method for solving the direct Zakharov–Shabat scattering problem. J. Opt. Soc. Am. B, 32(2):290–296, 2015. [ DOI ]
[17]	A.I. Nemykin, S.V. Perminov, L.L. Frumin, and D.A. Shapiro. Excitation of a plasmon resonance in metal cylinders by an evanescent wave. Quantum Electronics, 45(3):240–244, 2015. [ DOI ]
[18]	E.G. Shapiro, D.A. Shapiro, and S.K. Turitsyn. Method for computing the optimal signal distribution and channel capacity. Optics Express, 23(12):15119–15133, 2015. [ DOI ]
[19]	E.G. Shapiro and D.A. Shapiro. Imperfect narrow filtering in optical links with phase modulation. Opt. Commun., 320:27–32, 2014. [ DOI ]
[20]	L.L. Frumin, A.V. Nemykin, S.V. Perminov, and D.A. Shapiro. Plasmons excited by an evanescent wave in a periodic array of nanowires. J. Opt., 15(8):085002, 2013. [ DOI ]
[21]	L.L. Frumin, S.V. Perminov, and D.A. Shapiro. Plasmons excited by an evanescent wave. J. Opt. Soc. Am. B, 30(8):2048–2052, 2013. [ DOI ]
[22]	A.D. May, W.-K. Liu, F.R.W. McCourt, R. Ciurylo, J. Sanchez-Fortun Stoker, D. Shapiro, and R. Wehr. The impact theory of spectral line shapes: a paradigm shift. Can. J. Phys., 91(11):879–895, 2013. [ DOI ]
[23]	A.V. Nemykin and D.A. Shapiro. Optical FBG filter with minimum group delay for WDM systems. Opt. Commun., 289:97–102, 2013. [ DOI ]
[24]	E.G. Shapiro and D.A. Shapiro. Narrow optical filtering in phase modulated communication links. Electr. Lett., 49(4):279–281, 2013. [ DOI ]
[25]	O.V. Belai, L.L. Frumin, S.V. Perminov, and D.A. Shapiro. Scattering of evanescent wave by two cylinders near a flat boundary. Europhys. Lett., 97(1):10007–10016, 2012. [ DOI ]
[26]	O.V. Belai and D.A. Shapiro. Broadening of resonance induced by high-order spatial harmonics. Int. Rev. Atom. Mol. Phys., 3(1):61–73, 2012. [ .pdf ]
[27]	O.V. Belai, L.L. Frumin, S.V. Perminov, and D.A. Shapiro. Scattering of evanescent electromagnetic waves by a cylinder near the flat boundary: the Green function and fast numerical method. Opt. Lett., 36(6):954–956, 2011. [ DOI ]
[28]	O.V. Belay and S.P. Kiselev. Molecular dynamics simulation of deformation and fracture of a "copper – molybdenum" nanocomposite plate under uniaxial tension. Phys. Mesomech., 14(3–4):145–153, 2011. [ DOI ]
[29]	V. Nesterov and L. Frumin. Light-induced attractive force between two metal bodies separated by a subwavelength slit. Meas. Sci. Technol., 22(9):94008–94014, 2011. [ DOI ]
[30]	V. Nesterov, L. Frumin, and E. Podivilov. Negative light pressure force between two metal bodies separated by a subwavelength slit. Europhys. Lett., 94(6):64002–64006, 2011. [ DOI ]
[31]	D.A. Shapiro and A.I. Latkin. Sixth moment optimization of multi-channel Bragg filters. Opt. Commun., 284(6):1565–1568, 2011. [ DOI ]
[32]	E.G. Shapiro and M.P. Fedoruk. Statistics of errors in fibre communication lines with a phase-modulation format and optical phase conjugation. Quantum Electron., 41(6):541–544, 2011. [ DOI ]