1. 2024
  2. High-Order Block Toeplitz Inner-Bordering method for solving the Gelfand–Levitan–Marchenko equation

    Medvedev, S. B., Vaseva, I. A. & Fedoruk, M. P., Nov 2024, In: Communications in Nonlinear Science and Numerical Simulation. 138, 11 p., 108255.

    Research output: Contribution to journalArticlepeer-review

  3. Numerical analysis of the kinetic equation describing isotropic 4-wave interactions in non-linear physical systems

    Semisalov, B. V., Medvedev, S. B., Nazarenko, S. V. & Fedoruk, M. P., Jun 2024, In: Communications in Nonlinear Science and Numerical Simulation. 133, 19 p., 107957.

    Research output: Contribution to journalArticlepeer-review

  4. Fast nonlinear Fourier transform algorithms for optical data processing

    Medvedev, S., Vaseva, I., Kachulin, D., Chekhovskoy, I. & Fedoruk, M., 15 Apr 2024, In: Optics Letters. 49, 8, p. 1884-1887 4 p.

    Research output: Contribution to journalArticlepeer-review

  5. Algorithm for Solving the Four-Wave Kinetic Equation in Problems of Wave Turbulence

    Semisalov, B. V., Medvedev, S. B., Nazarenko, S. V. & Fedoruk, M. P., Feb 2024, In: Computational Mathematics and Mathematical Physics. 64, 2, p. 340-361 22 p., 13.

    Research output: Contribution to journalArticlepeer-review

  6. New Fast Exponential Splitting Schemes for Nonlinear Fourier Transform

    Medvedev, S. B., Kachulin, D. I., Chekhovskoy, I. S., Vaseva, I. A. & Fedoruk, M. P., 2024, 2024 International Conference Laser Optics, ICLO 2024 - Proceedings. Institute of Electrical and Electronics Engineers Inc., p. 316 (2024 International Conference Laser Optics, ICLO 2024 - Proceedings).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  7. 2023
  8. IST_GTIB

    Медведев, С. Б., Васева, И. А. & Федорук, М. П., 11 Dec 2023, Роспатент - Федеральная служба по интеллектуальной собственности, Patent No. 2023687009, 30 Nov 2023, Priority date 30 Nov 2023, Priority No. 2023686058

    Research output: PatentSoftware registration

  9. Numerical Splitting Schemes for Solving the Ginzburg–Landau Equation with Saturated Gain and Cubic Mode Locked

    Medvedev, S. B., Shtyrina, O. V., Vaseva, I. A., Paasonen, V. I. & Fedoruk, M. P., Dec 2023, In: Bulletin of the Lebedev Physics Institute. 50, Suppl 13, p. S1484-S1491 8 p.

    Research output: Contribution to journalArticlepeer-review

  10. Hydrodynamic Approximation for 2D Optical Turbulence: Statistical Distribution Symmetry

    Grebenev, V. N., Grishkov, A. N., Medvedev, S. B. & Fedoruk, M. P., Sept 2023, In: Bulletin of the Lebedev Physics Institute. 50, p. S343-S354 12 p.

    Research output: Contribution to journalArticlepeer-review

  11. Block Toeplitz Inner-Bordering method for the Gelfand-Levitan-Marchenko equations associated with the Zakharov-Shabat system

    Medvedev, S., Vaseva, I. & Fedoruk, M., 1 Apr 2023, In: Journal of Inverse and Ill-Posed Problems. 31, 2, p. 191-202 12 p.

    Research output: Contribution to journalArticlepeer-review

  12. О численных алгоритмах решения прямой и обратной задач рассеяния системы Захарова -Шабата

    Sergey, M. B., Irina, V. A., Igor, C. S. & Mikhail, F. P., 2023, In: Journal of Computational Technologies. 28, 3, p. 60-83 24 p., 4.

    Research output: Contribution to journalArticlepeer-review

  13. 2022
  14. Inverse cascade anomalies in fourth-order Leith models

    Thalabard, S., Medvedev, S., Grebenev, V. & Nazarenko, S., 7 Jan 2022, In: Journal of Physics A: Mathematical and Theoretical. 55, 1, 015702.

    Research output: Contribution to journalArticlepeer-review

  15. Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrodinger equation

    Medvedev, S., Chekhovskoy, I., Vaseva, I. & Fedoruk, M., 1 Jan 2022, In: Journal of Computational Physics. 448, 110764.

    Research output: Contribution to journalArticlepeer-review

  16. 2021
  17. Numerical analysis of a self-similar turbulent flow in Bose–Einstein condensates

    Semisalov, B. V., Grebenev, V. N., Medvedev, S. B. & Nazarenko, S. V., Nov 2021, In: Communications in Nonlinear Science and Numerical Simulation. 102, 105903.

    Research output: Contribution to journalArticlepeer-review

  18. A Novel Sixth-Order Algorithm for the Direct Zakharov-Shabat Problem

    Medvedev, S. B., Vaseva, I. A., Chekhovskoy, I. S. & Fedoruk, M. P., Jun 2021, 2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2021. Institute of Electrical and Electronics Engineers Inc., (2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2021).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  19. Fast Eigenvalue Evaluation of the Direct Zakharov-Shabat Problem in Telecommunication Signals Using Adaptive Phase Jump Tracking

    Chekhovskoy, I. S., Medvedev, S. B., Vaseva, I. A., Sedov, E. V. & Fedoruk, M. P., Jun 2021, 2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2021. Institute of Electrical and Electronics Engineers Inc., Paper CI-P.2. (2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2021).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  20. Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem

    Chekhovskoy, I., Medvedev, S. B., Vaseva, I. A., Sedov, E. V. & Fedoruk, M. P., May 2021, In: Communications in Nonlinear Science and Numerical Simulation. 96, 105718.

    Research output: Contribution to journalArticlepeer-review

  21. A novel sixth-order algorithm for the direct zakharov-shabat problem

    Medvedev, S. B., Vaseva, I. A., Chekhovskoy, I. S. & Fedoruk, M. P., 2021, The European Conference on Lasers and Electro-Optics, CLEO/Europe 2021. The Optical Society, ci_2_5. (Optics InfoBase Conference Papers).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  22. Fast eigenvalue evaluation of the direct Zakharov-Shabat problem in telecommunication signals using adaptive phase jump tracking

    Chekhovskoy, I. S., Medvedev, S. B., Vaseva, I. A., Sedov, E. V. & Fedoruk, M. P., 2021, The European Conference on Lasers and Electro-Optics, CLEO/Europe 2021. The Optical Society, ci_p_2. (Optics InfoBase Conference Papers).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  23. Hamiltonian Structure and Conservation Laws of Three-Dimensional Linear Elasticity Theory

    Bykov, D. O., Grebenev, V. N. & Medvedev, S. B., 2021, Nonlinear Physical Science. Luo, A. C. J. & Gazizov, R. K. (eds.). 1 ed. Springer, p. 99-123 25 p. (Nonlinear Physical Science).

    Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

  24. 2020
  25. Программный комплекс моделирования оптических систем с помощью численного решения задачи Захарова-Шабата "NFTLab-2"

    Чеховской, И. С., Медведев, С. Б. & Федорук, М. П., 13 Nov 2020, Роспатент - Федеральная служба по интеллектуальной собственности, Patent No. 2020664456, Priority date 6 Nov 2020, Priority No. 2020663772

    Research output: PatentSoftware registration

  26. Steady states in dual-cascade wave turbulence

    Grebenev, V. N., Medvedev, S. B., Nazarenko, S. V. & Semisalov, B. V., 11 Sept 2020, In: Journal of Physics A: Mathematical and Theoretical. 53, 36, 21 p., 365701.

    Research output: Contribution to journalArticlepeer-review

  27. Conservative multi-exponential scheme for solving the direct Zakharov-Shabat scattering problem

    Medvedev, S., Chekhovskoy, I., Vaseva, I. & Fedoruk, M., 1 Apr 2020, In: Optics Letters. 45, 7, p. 2082-2085 4 p.

    Research output: Contribution to journalArticlepeer-review

  28. Exponential fourth order schemes for direct Zakharov-Shabat problem

    Medvedev, S., Vaseva, I., Chekhovskoy, I. & Fedoruk, M., 1 Jan 2020, In: Optics Express. 28, 1, p. 20-39 20 p.

    Research output: Contribution to journalArticlepeer-review

  29. Characterization of coherent structures in dissipative systems using nonlinear Fourier transform

    Chekhovskoy, I. S., Shtyrina, O. V., Fedoruk, M. P., Medvedev, S. B. & Turitsyn, S. K., 2020, Nonlinear Optics and its Applications 2020. Broderick, N. G. R., Dudley, J. M. & Peacock, A. C. (eds.). The International Society for Optical Engineering, 113581B. (Proceedings of SPIE - The International Society for Optical Engineering; vol. 11358).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  30. 2019
  31. Программный комплекс моделирования оптических систем с помощью численного решения задачи Захарова-Шабата "NFTLab-1"

    Чеховской, И. С., Медведев, С. Б. & Федорук, М. П., 21 Oct 2019, Роспатент - Федеральная служба по интеллектуальной собственности, Patent No. 2019663598, Priority date 11 Oct 2019, Priority No. 2019662574

    Research output: PatentSoftware registration

  32. A novel fourth-order difference scheme for the direct zakharov-shabat problem

    Medvedev, S. B., Vaseva, I. A., Chekhovskoy, I. S. & Fedoruk, M. P., 1 Jun 2019, 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019. Institute of Electrical and Electronics Engineers Inc., 8872769. (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  33. Nonlinear fourier transform for analysis of coherent structures in dissipative systems

    Chekhovskoy, I. S., Shtyrina, O. V., Fedoruk, M. P., Medvedev, S. B. & Turitsyn, S. K., 1 Jun 2019, 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019. Institute of Electrical and Electronics Engineers Inc., 8872485. (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  34. Numerical algorithm with fourth-order accuracy for the direct Zakharov-Shabat problem

    Medvedev, S., Vaseva, I., Chekhovskoy, I. & Fedoruk, M., 1 May 2019, In: Optics Letters. 44, 9, p. 2264-2267 4 p.

    Research output: Contribution to journalArticlepeer-review

  35. Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems

    Chekhovskoy, I. S., Shtyrina, O. V., Fedoruk, M. P., Medvedev, S. B. & Turitsyn, S. K., 15 Apr 2019, In: Physical Review Letters. 122, 15, 5 p., 153901.

    Research output: Contribution to journalArticlepeer-review

  36. A novel fourth-order difference scheme for the direct Zakharov-Shabat problem

    Medvedev, S. B., Vaseva, I. A., Chekhovskoy, I. S. & Fedoruk, M. P., 1 Jan 2019, The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019. OSA Publishing, 2019-ci_1_5. (Optics InfoBase Conference Papers; vol. Part F140-CLEO_Europe 2019).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  37. Nonlinear Fourier transform for analysis of coherent structures in dissipative systems

    Chekhovskoy, I. S., Shtyrina, O. V., Fedoruk, M. P., Medvedev, S. B. & Turitsyn, S. K., 1 Jan 2019, European Quantum Electronics Conference, EQEC_2019. OSA Publishing, 2019-ef_p_17. (Optics InfoBase Conference Papers; vol. Part F143-EQEC 2019).

    Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

  38. 2018
  39. Hamiltonian approach for optimization of phase-sensitive double-pumped parametric amplifiers

    Medvedev, S. & Bednyakova, A., 11 Jun 2018, In: Optics Express. 26, 12, p. 15503-15518 16 p.

    Research output: Contribution to journalArticlepeer-review

  40. 2017
  41. Estimation of the signal gain in a linear-cavity ytterbium laser

    Efremov, S. A., Shtyrina, O. V., Medvedev, S. B., Yarutkina, I. A., Skidin, A. S. & Fedoruk, M. P., 2017, In: Quantum Electronics. 47, 12, p. 1105-1108 4 p.

    Research output: Contribution to journalArticlepeer-review

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