Persons: Medvedev, Sergey Borisovich

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Medvedev, Sergey Borisovich

Total publications:	72 (70)
in MathSciNet:	3 (3)
in zbMATH:	2 (2)
in Web of Science:	7 (6)
in Scopus:	9 (8)
Cited articles:	29
Citations:	234
Presentations:	3

Number of views:
This page:	1792
Abstract pages:	5678
Full texts:	1331
References:	696

Doctor of physico-mathematical sciences (2006)

Speciality:

05.13.18 (Mathematical modelling, calculating methods, and the program systems)

E-mail:

Keywords:

nonlinear waves, wave turbulence, normal forms. nonlinear fiber optics, Bose-Einstein condensate.

Subject:

Geophysical fluid dynamics. Nonlinear fiber optics.

Main publications:

Bartsev, S. I., Degermendzhi, A. G., Fedotov, A. M., Medvedev, S. B., Pestunov, A. I., &amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp; Pestunov, I. A. (2012, April). The biosphere trigger mechanism in the minimal model for the global carbon cycle of the Earth. In Doklady Earth Sciences (Vol. 443, No. 2, pp. 489-492). MAIK Nauka/Interperiodica.

https://www.mathnet.ru/eng/person32565

https://scholar.google.com/citations?user=XhljXDEAAAAJ&hl=en

https://elibrary.ru/author_items.asp?authorid=60351

ISTINA

https://istina.msu.ru/workers/11463513

https://orcid.org/0000-0001-7138-8573

https://publons.com/researcher/1739533

https://www.webofscience.com/wos/author/record/G-2654-2016

https://www.scopus.com/authid/detail.url?authorId=14050540200

https://www.researchgate.net/profile/Sergey_Medvedev6

https://arxiv.org/a/medvedev_s_1

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	S. B. Medvedev, I. A. Vaseva, M. P. Fedoruk, “Fast nonlinear Fourier transform algorithm for reconstruction of optical data from nonlinear spectra of the Manakov system”, Optics Letters, 49:16 (2024), 4677-4680	1 ^[x]
2.	B. V. Semisalov, S. B. Medvedev, S. V. Nazarenko, M. P. Fedoruk, “Numerical analysis of the kinetic equation describing isotropic 4-wave interactions in non-linear physical systems”, Communications in Nonlinear Science and Numerical Simulation, 133 (2024), 107957	2 ^[x]
3.	S. B. Medvedev, I. A. Vaseva, D. I. Kachulin, I. S. Chekhovskoy, M. P. Fedoruk, “Fast nonlinear Fourier transform algorithms for optical data processing”, Optics Letters, 49:8 (2024), 1884-1887	1 ^[x]
4.	B. V. Semisalov, S. B. Medvedev, M. P. Fedoruk, S. V. Nazarenko, “Algorithm for solving the four-wave kinetic equation in problems of wave turbulence”, Comput. Math. Math. Phys., 64:2 (2024), 340–361
5.	S. B. Medvedev, B. V. Semisalov, “Modelirovanie nelineinogo vzaimodeistviya voln v sluchainom volokonnom lazere”, Matematicheskie problemy mekhaniki sploshnykh sred (Novosibirsk, 13-17 maya 2024 g.), Sibirskoe otdelenie RAN, 2024, 107-108
6.	S. B. Medvedev, I. A. Vaseva, M. P. Fedoruk, “High-Order Block Toeplitz Inner-Bordering method for solving the Gelfand–Levitan–Marchenko equation”, Communications in Nonlinear Science and Numerical Simulation, 138 (2024), 108255 (to appear)	2 ^[x]

2023
7.	S. B. Medvedev, O. V. Shtyrina, I. A. Vaseva, V. I. Paasonen, M. P. Fedoruk, “Numerical splitting schemes for solving the Ginzburg–Landau equation with saturated gain and cubic mode locked”, Bull. Lebedev Physics Institute, 50:suppl. 13 (2023), S1484–S1491
8.	V. N. Grebenev, A. N. Grishkov, S. B. Medvedev, “Symmetry transformations of the vortex field statistics in optical turbulence”, Theoret. and Math. Phys., 217:2 (2023), 1795–1805
9.	V. N. Grebenev, A. N. Grishkov, S. B. Medvedev, “Symmetry transformations of the vortex field statistics in optical turbulence”, Theoretical and Mathematical Physics, 217:2 (2023), 1795-1805	1 ^[x]
10.	VN Grebenev, AN Grishkov, SB Medvedev, MP Fedoruk, “Hydrodynamic Approximation for 2D Optical Turbulence: Statistical Distribution Symmetry”, Bulletin of the Lebedev Physics Institute, 50:Suppl 3 (2023), S343-S354
11.	S. B. Medvedev, I. A. Vaseva, M. P. Fedoruk, “Block Toeplitz inner-bordering method for the Gelfand–Levitan–Marchenko equations associated with the Zakharov–Shabat system”, Journal of Inverse and Ill-posed Problems, 31:2 (2023), 191-202	2 ^[x]
12.	V. N. Grebenev, A. N. Grishkov, S. B. Medvedev, M. P. Fedoruk, “Hydrodynamic approximation for two-dimensional optical turbulence: symmetries of statistical distributions”, Bull. Lebedev Physics Institute, 50:suppl. 3 (2023), S343–S354

2022
13.	V. N. Grebenev, A. N. Grishkov, S. B. Medvedev, M. P. Fedoruk, “Hydrodynamic approximation for two-dimensional optical turbulence: symmetries of statistical distributions”, Kvantovaya Elektronika, 52:11 (2022), 1023-1030	1 ^[x]
14.	S. B. Medvedev, I. S. Chekhovskoy, I. A. Vaseva, M. P. Fedoruk, “Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrodinger equation”, Journal of Computational Physics, 448 (2022), 110764	4 ^[x]

2021
15.	S. Thalabard, S. Medvedev, V. Grebenev, S. Nazarenko, “Inverse cascade anomalies in fourth-order Leith models”, Journal of Physics A: Mathematical and Theoretical, 55:1 (2021), 015702	2 ^[x]
16.	B. V. Semisalov, V. N. Grebenev, S. B. Medvedev, S. V. Nazarenko, “Numerical analysis of a self-similar turbulent flow in Bose–Einstein condensates”, Communications in Nonlinear Science and Numerical Simulation, 102 (2021), 105903	19 ^[x]
17.	SB Medvedev, IA Vaseva, IS Chekhovskoy, MP Fedoruk, “A conservative sixth-order algorithm for the direct Zakharov–Shabat problem”, Marchuk Scientific Readings-2021: Abstracts of the Intern. conf., October 4–8, 2021, 2021, 54
18.	I. S. Chekhovskoy, S. B. Medvedev, I. A. Vaseva, E. V. Sedov, M. P. Fedoruk, “Introducing phase jump tracking-a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem”, Communications in Nonlinear Science and Numerical Simulation, 96 (2021), 105718	15 ^[x]
19.	DO Bykov, VN Grebenev, SB Medvedev, “Hamiltonian Structure and Conservation Laws of Three-Dimensional Linear Elasticity Theory”, Symmetries and Applications of Differential Equations: In Memory of Nail H. Ibragimov (1939–2018), 2021, 99-123

2020
20.	VN Grebenev, SB Medvedev, SV Nazarenko, BV Semisalov, “Steady states in dual-cascade wave turbulence”, Journal of Physics A: Mathematical and Theoretical, 53:36 (2020), 365701	2 ^[x]
21.	S. B. Medvedev, I. S. Chekhovskoy, I. A. Vaseva, M. P. Fedoruk, “Conservative multi-exponential scheme for solving the direct Zakharov–Shabat scattering problem”, Optics Letters, 45:7 (2020), 2082-2085	10 ^[x]

2019
22.	S. B. Medvedev, I. A. Vaseva, I. S. Chekhovskoy, M. P. Fedoruk, “Exponential fourth order schemes for direct Zakharov-Shabat problem”, Optics Express, 28:1 (2019), 20-39	25 ^[x]
23.	S. B. Medvedev, I. A. Vaseva, I. S. Chekhovskoy, M. P. Fedoruk, “Numerical algorithm with fourth-order accuracy for the direct Zakharov-Shabat problem”, Optics letters, 44:9 (2019), 2264-2267	11 ^[x]
24.	I. S. Chekhovskoy, O. V. Shtyrina, M. P. Fedoruk, S. B. Medvedev, S. K. Turitsyn, “Nonlinear Fourier transform for analysis of coherent structures in dissipative systems”, Physical review letters, 122:15 (2019), 153901	43 ^[x]
25.	S. V. Nazarenko, V. N. Grebenev, S. B. Medvedev, S. Galtier, “The focusing problem for the Leith model of turbulence: a self-similar solution of the third kind”, Journal of Physics A: Mathematical and Theoretical, 52:15 (2019), 155501	4 ^[x]
26.	SB Medvedev, IA Vaseva, IS Chekhovskoy, MP Fedoruk, “Numerical algorithms for the direct spectral Zakharov-Shabat problem with application to the solution of nonlinear equations”, Proceedings of International Conference “Dynamics in Siberia”(Novosibirsk, Russia, 25.02-02.03. 2019), 2019

2017
27.	S. A. Efremov, O. V. Shtyrina, S. B. Medvedev, I. A. Yarutkina, A. S. Skidin, M. P. Fedoruk, “Estimation of the signal gain in a linear-cavity ytterbium laser”, Quantum Electron., 47:12 (2017), 1105–1108
28.	Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovskii, “Analytical trial functions for modelling a two-dimensional Bose condensate”, Quantum Electron., 47:5 (2017), 484–490
29.	Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovskii, “Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovskii. Analytical trial functions for modelling a two-dimensional Bose condensate (“Kvantovaya Elektronika”, 47:5 (2017), 484–490)”, Kvantovaya Elektronika, 47:6 (2017), 566

2016
30.	Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovsky, “Interaction of two fractions in a degenerate bose gas at finite temperatures”, JETP Letters, 103:6 (2016), 403–408
31.	Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovsky, “Response to the comment on “Interaction of two fractions in a degenerate Bose gas at finite temperatures” (JETP Lett. 103, 403 (2016))”, JETP Letters, 103:12 (2016), 801

2015
32.	S. Thalabard, S. Nazarenko, S. Galtier, S. Medvedev, “Anomalous spectral laws in differential models of turbulence”, Journal of Physics A: Mathematical and Theoretical, 48:28 (2015), 285501
33.	S.B. Medvedev, A.I. Pestunov, I.A. Pestunov, A.M. Fedotov, “Modeli rosta i vzaimodeistviya derevev”, Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriya: Informatsionnye tekhnologii, 13:2 (2015), 42-54

2014
34.	S. B. Medvedev, Yu. V. Likhanova, M. P. Fedoruk, P. L. Chapovskii, “Evolution of a steady state of the two-dimensional Gross-Pitaevskii equation”, JETP Letters, 100:12 (2014), 829–834
35.	Yu. A. Chirkunov, S. Yu. Dobrokhotov, S. B. Medvedev, D. S. Minenkov, “Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms”, Theoret. and Math. Phys., 178:3 (2014), 278–298
36.	V.N. Grebenev, S.V. Nazarenko, S.B. Medvedev, I.V. Schwab, Yu.A. Chirkunov, “Self-similar solution in the Leith model of turbulence: anomalous power law and asymptotic analysis”, Journal of Physics A: Mathematical and Theoretical, 47:2 (2014), 025501
37.	Yu.A. Chirkunov, S.V. Nazarenko, S.B. Medvedev, V.N. Grebenev, “Invariant solutions for the nonlinear diffusion model of turbulence”, Journal of Physics A: Mathematical and Theoretical, 47:18 (2014), 185501
38.	V.N. Grebenev, S.V. Nazarenko, I.V. Shvab, Yu.A. Chirkkunov, G.G. Lazareva, O.V. Shtyrina, S.B. Medvedev, “Avtomodelnoe reshenie nelineinogo uravneniya diffuzii dlya spektralnoi plotnosti energii turbulentnosti”, Vychislitelnye tekhnologii, 19:1 (2014), 63-73
39.	Yu.A. Chirkunov, S.Yu. Dobrokhotov, S.B. Medvedev, D.S. Minenkov, “Tochnye resheniya odnomernykh uravnenii melkoi vody nad rovnym i naklonnym dnom”, Teoreticheskaya i matematicheskaya fizika, 178:3 (2014), 322-345	16 ^[x]
40.	Yu.A. Chirkunov, S.Yu. Dobrokhotov, S.B. Medvedev, D.S. Minenkov, “Tochnye resheniya odnomernykh uravnenii melkoi vody nad rovnym i naklonnym dnom”, Teoreticheskaya i matematicheskaya fizika, 178:3 (2014), 322-345	16 ^[x]
41.	S.B. Medvedev, Yu.V. Likhanova, M.P. Fedoruk, P.L. Chapovskii, “Evolyutsiya statsionarnogo sostoyaniya v dvumernom uravnenii Grossa-Pitaevskogo”, Pisma v zhurnal eksperimentalnoi i teoreticheskoi fiziki, 100:11-12 (2014), 935-940	4 ^[x]
42.	Katie L. Harper , Sergey V. Nazarenko , Sergey B. Medvedev, Colm Connaughton, “Wave turbulence in the two-layer ocean model”, JOURNAL OF FLUID MECHANICS, 756 (2014), 309-327

2013
43.	S. Yu. Dobrokhotov, S. B. Medvedev, D. S. Minenkov, “On Replacements Reducing One-Dimensional Systems of Shallow-Water Equations to the Wave Equation with Sound Speed $c^2=x$”, Math. Notes, 93:5 (2013), 704–714
44.	S.B. Medvedev, “Geometricheskie priblizheniya dlya uravnenii vraschayuscheisya melkoi vody”, Vychislitelnye tekhnologii, 18:1 (2013), 45-64
45.	Y.A. Chirkunov, S.B. Medvedev, “Conservation laws for plane steady potential barotropic flow”, European Journal of Applied Mathematics, 24:6 (2013), 789-801

2012
46.	V.N. Grebenev, S.B. Medvedev, “Odnorodnaya izotropnaya turbulentnost: geometriya i dopuskaemaya gruppa preobrazovanii”, Vychislitelnye tekhnologii, 17:5 (2012), 23-45
47.	A.M. Fedotov, S.B. Medvedev, A.I. Pestunov, I.A. Pestunov, S.I. Bartsev, A.G. Degermendzhi, “Analiticheskoe issledovanie malorazmernoi modeli dinamiki ugleroda v biosfere”, Vychislitelnye tekhnologii, 17:3 (2012), 91-108
48.	S.I. Bartsev, A.G. Degermendzhi, A.M. Fedotov, S.B. Medvedev, A.I. Pestunov, I.A. Pestunov, “Biosfernyi trigger v minimalnoi modeli uglerodnogo tsikla”, Doklady akademii nauk, 443:4 (2012), 500-503

2011
49.	I.V. Shvab, V.T. Astrelin, A.V. Burdakov, V.A. Vshivkov, K.V. Vshivkov, S.B. Medvedev, N.A. Yakunkin, “Numerical modeling of plasma dynamics in non-uniform magnetic field”, Fusion Science and Technology, 59:1 T (2011), 313-315
50.	A.M. Fedotov, S.B. Medvedev, I.A. Pestunov, A.I. Pestunov, “O nestandartnom povedenii minimalnoi modeli uglerodnogo tsikla”, Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriya: Informatsionnye tekhnologii, 9:1 (2011), 82-88

2010
51.	S. B. Medvedev, “Conservation Laws of Zero Order for One-Dimensional Hydrodynamic Equations with External Force”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:1 (2010), 70–88

2008
52.	S. B. Medvedev, “Conservation laws of zero order for one-dimensional rotating shallow water equations”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 8:1 (2008), 59–70
53.	S.B. Medvedev, “Zakony sokhraneniya nulevogo poryadka dlya odnomernykh uravnenii vraschayuscheisya melkoi vody”, Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriya: Matematika, mekhanika, informatika, 8:1 (2008), 59-70	1 ^[x]

2007
54.	S.B. Medvedev, “Chapter 3 The Method of Normal Forms and Fast–Slow Splitting”, Edited Series on Advances in Nonlinear Science and Complexity, 2 (2007), 121-187
55.	S.B. Medvedev, V. Zeitlin, “Turbulence of near-inertial waves in the continuously stratified fluid”, Physics Letters A, 371:3 (2007), 221-227

2005
56.	S. B. Medvedev, “Asymptotical normal form of Poisson bracket for one-dimensional fluid”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 5:4 (2005), 60–69
57.	S.B. Medvedev, V. Zeitlin, “Weak turbulence of short equatorial waves”, Physics Letters A, 342:3 (2005), 217-227

2004
58.	S. B. Medvedev, M. P. Fedoruk, “Quasilinear theory for the nonlinear Schrödinger equation with periodic coefficients”, JETP Letters, 79:1 (2004), 16–20
59.	S.B. Medvedev, M.P. Fedoruk, “Kvazilineinaya teoriya nelineinogo uravneniya Shredingera s periodicheskimi koeffitsientami”, Pisma v zhurnal eksperimentalnoi i teoreticheskoi fiziki, 79:1 (2004), 19-24

2003
60.	A. Wingen, K.H. Spatschek, S.B. Medvedev, “Averaged dynamics of optical pulses described by a nonlinear Schrödinger equation with periodic coefficients”, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 68:4 (2003), 046610
61.	S.K. Turitsyn, E.G Shapiro, S.B. Medvedev, M.P. Fedoruk, V.K. Mezentsev, “Physics and mathematics of dispersion-managed optical solitons”, Comptes Rendus Physique, 4:1 (2003), 145-161
62.	J. Le Sommer, S.B. Medvedev, R. Plougonven, V. Zeitlin, “Singularity formation during relaxation of jets and fronts toward the state of geostrophic equilibrium”, Communications in Nonlinear Science and Numerical Simulation, 8:3-4 (2003), 415-442
63.	S.B. Medvedev, “Normalnye formy dlya gradientnykh sistem s kososimmetrichnoi strukturnoi matritsei”, Vychislitelnye tekhnologii, 8:6 (2003), 60-69
64.	V. Zeitlin, S.B. Medvedev, R. Plougonven, “Frontal geostrophic adjustment, slow manifold and nonlinear wave phenomena in one-dimensional rotating shallow water. Part 1. Theory”, Journal of Fluid Mechanics, 2003, no. 481, 269-290

2002
65.	S.B. Medvedev, O.V. Shtyrina, S.L. Musher, M.P. Fedoruk, “Path-averaged optical soliton in double-periodic dispersion-managed systems”, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 66:6 (2002), 066607
66.	S.B. Medvedev, E.G. Shapiro, M.P. Fedoruk, E.G. Turitsyna, “The theory of optical communication lines with a short-scale dispersion management”, Journal of Experimental and Theoretical Physics, 94:5 (2002), 892-900

2000
67.	S.K. Turitsyn, E.G. Turitsyna, S.B. Medvedev, M.P. Fedoruk, “Averaged model and integrable limits in nonlinear double-periodic Hamiltonian systems”, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 61:3 (2000), 3127-3132

1999
68.	S.B. Medvedev, “Poincare Normal Forms for Partial Differential Equations”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering sciences, 455:1991 (1999), 4061-4075
69.	S.B. Medvedev, S.K. Turitsyn, “Hamiltonian averaging and integrability in nonlinear systems with periodically varying dispersion”, JETP Letters, 69:7 (1999), 499-504
70.	S.B. Medvedev, “The Slow Manifold for the Shallow Water Equations on the f Plane”, JOURNAL OF THE ATMOSPHERIC SCIENCES, 56:8 (1999), 1050-1054

1994
71.	G. Falkovich, E. Kuznetsov, S. Medvedev, “Bounded cascade clouds:albedo and effective thickness”, Nonlinear Processes in Geophysics, 1:2-3 (1994), 168-171

1992
72.	G. E. Falkovich, S. B. Medvedev, “Kolmogorov-like Spectrum for Turbulence of Inertial-Gravity Waves”, Europhysics Letters, 19:4 (1992), 279-284

Presentations in Math-Net.Ru

1.	Generalized Teplitzev inner fringing method for solving the Gelfand-Levitan-Marchenko equations S. B. Medvedev, I. A. Vaseva, M. P. Fedoruk Actual Problems of Applied Mathematics November 25, 2022 16:00
2.	Numerical algorithms for the direct spectral Zakharov–Shabat problem with application to the solution of nonlinear equations S. B. Medvedev, I. A. Vaseva, I. S. Chekhovskoy, M. P. Fedoruk Dynamics in Siberia - 2019 March 1, 2019 12:05
3.	Hamiltonian approach for optimization of phase-sensitive double-pumped parametric amplifiers A. Bednyakova, S. Medvedev Dynamics in Siberia - 2018 February 26, 2018 15:00

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