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Grinevich Petr Georgievich
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2026
1.	Petr G. Grinevich, Iskander A. Taimanov, “Erratum to: On Perturbations of the Spectrum of a One-Dimensional $\mathcal{PT}$-Symmetric Periodic Schrödinger Operator”, Regul. Chaotic Dyn., 31:1 (2026), 174
2.	F. Coppini, P. G. Grinevich, P. M. Santini, “On the Fermi-Pasta–Ulam–Tsingou recurrence of anomalous (rogue) waves in partial differential equations of nonlinear Schrödinger type”, Mech. Res. Commun., 153 (2026), 104639, 11 pp.

2025
3.	S. Abenda, P. G. Grinevich, Dubrovin-Natanzon divisors on MM-curves, 2025, 35 pp., arXiv: 2508.08426
4.	P. G. Grinevich, I. A. Taimanov, “On perturbations of the spectrum of one-dimensional PT-symmetric periodic Schrodinger operator”, Regular and Chaotic Dynamics, 30:6 (2025), 962-968, arXiv: https://arxiv.org/abs/2510.18349	1 ^[x]
5.	P. G. Grinevich, R. G. Novikov, “Transparent scatterers and transmission eigenvalues”, Inverse Problems: Modelling and Simulation. IPMS 2024, Malta, 26 maya – 01 iyunya 2024, Trends Math., 11, Birkhäuser, Cham, 2025, 265–274	1 ^[x]

2024
6.	Geometriya, topologiya, matematicheskaya fizika, Sbornik statei. K 85-letiyu akademika Sergeya Petrovicha Novikova, Trudy MIAN, 325, ed. V. M. Bukhshtaber, P. G. Grinevich, I. A. Dynnikov, O. K. Sheinman, MIAN, M., 2024, 333 pp.
7.	P. G. Grinevich, “Riemann Surfaces Close to Degenerate Ones in the Theory of Rogue Waves”, Proc. Steklov Inst. Math., 325 (2024), 86–110 https://rdcu.be/dXJjv
8.	F. Coppini, P. G. Grinevich, P. M. Santini, “The periodic $N$ breather anomalous wave solution of the Davey–Stewartson equations; first appearance, recurrence, and blow up properties”, J. Phys. A, 57 (2024), 15208, 27 pp., arXiv: 2308.12422	8 ^[x]

2023
9.	Simonetta Abenda, Petr G. Grinevich, “Geometric nature of relations on plabic graphs and totally non-negative Grassmannians”, Int. Math. Res. Not. IMRN, 2023:14 (2023), 11986, 66 pp.	2 ^[x]

2022
10.	F. Coppini, P. G. Grinevich, P. M. Santini, “Periodic rogue waves and perturbation theory”, Encyclopedia of Complexity and Systems Science, eds. R. A. Meyers, Springer Science+Business Media LLC, 2022, 565–584	1 ^[x]
11.	Simonetta Abenda, Petr G. Grinevich, “Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians”, Adv. Math., 406 (2022), 108523, 57 pp.	2 ^[x]
12.	P. G. Grinevich, R. G. Novikov, “Spectral inequality for Schrödinger's equation with multipoint potential”, Russian Math. Surveys, 77:6 (2022), 1021–1028
13.	P. G. Grinevich, P. M. Santini, “The finite-gap method and the periodic Cauchy problem for $(2+1)$-dimensional anomalous waves for the focusing Davey–Stewartson $2$ equation”, Russian Math. Surveys, 77:6 (2022), 1029–1059
14.	A. V. Bolsinov, V. M. Buchstaber, A. P. Veselov, P. G. Grinevich, I. A. Dynnikov, V. V. Kozlov, Yu. A. Kordyukov, D. V. Millionshchikov, A. E. Mironov, R. G. Novikov, S. P. Novikov, A. A. Yakovlev, “Iskander Asanovich Taimanov (on his 60th birthday)”, Russian Math. Surveys, 77:6 (2022), 1159–1168
15.	Simonetta Abenda, Petr G. Grinevich, “Real regular KP divisors on 𝙼-curves and totally non-negative Grassmannians”, Lett. Math. Phys., 112 (2022), 115, 64 pp.	2 ^[x]

2021
16.	V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Russian Math. Surveys, 76:4 (2021), 733–743
17.	P. G. Grinevich, P. M. Santini, “The linear and nonlinear instability of the Akhmediev breather”, Nonlinearity, 34:12 (2021), 8331–8358 $https://adsabs.harvard.edu/cgi-bin/bib_query?{http://adsabs.harvard.edu/cgi-bin/bib_query?2021Nonli..34.8331G$	19 ^[x]
18.	P. G. Grinevich, R. G. Novikov, “Transmission eigenvalues for multipoint scatterers”, Eurasian Journal of Mathematical and Computer Applications, 9:4 (2021), 17–25	2 ^[x]

2020
19.	P. G. Grinevich, R. G. Novikov, “Creation and annihilation of point-potentials using Moutard-type transform in spectral variable”, J. Math. Phys., 61 (2020), 093501, 7 pp., arXiv: 1911.09627	2 ^[x]
20.	F. Coppini, P. G. Grinevich, P. M. Santini,, “Effect of a small loss or gain in the periodic nonlinear Schrödinger anomalous wave dynamics”, Phys. Rev. E (3), 101:3 (2020), 032204, 8 pp.	29 ^[x]

2019
21.	P. G. Grinevich, P. M. Santini, “The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes”, Russian Math. Surveys, 74:2 (2019), 211–263
22.	P. G. Grinevich, P. M. Santini, “Numerical instability of the Akhmediev breather and a finite-gap model of it”, Recent Developments in Integrable Systems and Related Topics of Mathematical Physics (Kezenoi-Am, Russia, 2016), Springer Proceedings in Mathematics & Statistics, 273, eds. Viktor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov, Springer, 2019, 3–23	7 ^[x]
23.	D. Pierangeli, M. Flammini, L. Zhang, G. Marcucci, A. J. Agranat, P. G. Grinevich, P. M. Santini, C. Conti, E. DelRe, “Observation of Fermi-Fasta-Flam-Tsingou recurrence in optical experiment”, The XXII workshop of the Council of Nonlinear Dynamics of the Russian Academy of Sciences, Journal of Oceanological Research, 47, no. 1, 2019, 108
24.	P. G. Grinevich, R. G. Novikov, “Moutard transform for the two-dimensional conductivity equation”, Letters in Mathematical Physics, 109 (2019), 2209–2222, arXiv: 1801.00295	5 ^[x]
25.	S. Abenda, P. G. Grinevich, “Reducible M-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons”, Selecta Mathematica, 25 (2019), 43, 64 pp., arXiv: 1805.05641	6 ^[x]

2018
26.	Simonetta Abenda, Petr G. Grinevich, “Real soliton lattices of the Kadomtsev–Petviashvili II equation and desingularization of spectral curves: the $\mathrm {Gr^{ \scriptscriptstyle TP}}(2,4)$ case”, Proc. Steklov Inst. Math., 302 (2018), 1–15
27.	P. G. Grinevich, P. M. Santini, “Phase resonances of the NLS rogue wave recurrence in the quasisymmetric case”, Theoret. and Math. Phys., 196:3 (2018), 1294–1306
28.	P. G. Grinevich, P. M. Santini, “The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes”, Physics Letters A, 382 (2018), 973–979, arXiv: 1708.04535	60 ^[x]
29.	S. Abenda, P. G. Grinevich, “Rational degeneration of M-curves, totally positive Grassmannians and KP2-solitons”, Commun. Math. Phys., 361:3 (2018), 1029–1081, arXiv: 1506.00563	17 ^[x]
30.	P. G. Grinevich, P. M. Santini, “The finite gap method and the analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. 1”, Nonlinearity, 31:11 (2018), 5258–5308, arXiv: 1707.05659	62 ^[x]
31.	D. Pierangeli, M. Flammini, L. Zhang, G. Marcucci, A. J. Agranat, P. G. Grinevich, P. M. Santini, C. Conti, E. DelRe, “Observation of Fermi-Pasta-Ulam-Tsingou recurrence and its exact dynamics”, Physical Review X, 8:4 (2018), 041017, 9 pp.	85 ^[x]

2017
32.	P. G. Grinevich, S. P. Novikov, “Singular solitons and spectral meromorphy”, Russian Math. Surveys, 72:6 (2017), 1083–1107
33.	P. G. Grinevich, R. G. Novikov, “Multipoint scatterers with bound states at zero energy”, Theoret. and Math. Phys., 193:2 (2017), 1675–1679

2016
34.	P. G. Grinevich, R. G. Novikov, “Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps”, Funct. Anal. Appl., 50:2 (2016), 150–152
35.	P. G. Grinevich, S. P. Novikov, “On $\mathbf{s}$-meromorphic ordinary differential operators”, Russian Math. Surveys, 71:6 (2016), 1143–1145
36.	P. G. Grinevich, P. M. Santini, “An integral geometry lemma and its applications: The nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects”, Theoret. and Math. Phys., 189:1 (2016), 1450–1458
37.	V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176
38.	P. G. Grinevich, P. M. Santini, “Nonlocality and the inverse scattering transform for the Pavlov equation”, Studies in Applied Mathematics, 137:1 (2016), 10–27, arXiv: 1507.08205	9 ^[x]
39.	P. G. Grinevich, R. G. Novikov, “Moutard transform for the generalized analytic functions”, The Journal of Geometric Analysis, 26:4 (2016), 2984–2995, arXiv: 1510.08764	10 ^[x]
40.	P. G. Grinevich, R. G. Novikov, “Moutard transform approach to generalized analytic functions with contour poles”, Bulletin des sciences math{\e}matiques, 140:6 (2016), 638–656, arXiv: 1512.08874	6 ^[x]

2015
41.	P. G. Grinevich, S. P. Novikov, On the s-meromorphic OD operators, 2015, 8 pp., arXiv: 1510.06770
42.	P. G. Grinevich, A. E. Mironov, S. P. Novikov, “On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator”, Russian Math. Surveys, 70:2 (2015), 299–329
43.	P. G. Grinevich, P. M. Santini, D. Wu, “The Cauchy problem for the Pavlov equation”, Nonlinearity, 28:11 (2015), 3709–3754, arXiv: 1310.5834	9 ^[x]

2014
44.	P. G. Grinevich, S. P. Novikov, “Spectrally meromorphic operators and non-linear systems”, Russian Math. Surveys, 69:5 (2014), 924–926
45.	P. G. Grinevich, “Elementy teorii rimanovykh poverkhnostei i teorema Rimana-Rokha”, Geometricheskie metody matematicheskoi fiziki 2. Lektsii letnei shkoly. Voskresenskoe 25–29.06.2012 (Voskresenskoe 25–29 iyunya 2012), eds. B. A. Dubrovin, MAKS Press, Moskva, 2014, 29–60

2013
46.	P. G. Grinevich, R. G. Novikov, “Faddeev eigenfunctions for multipoint potentials”, Eurasian Journal of Mathematical and Computer Applications, 1:2 (2013), 76–91
47.	P. G. Grinevich, S. P. Novikov, “Discrete $SL_n$-connections and self-adjoint difference operators on two-dimensional manifolds”, Russian Math. Surveys, 68:5 (2013), 861–887
48.	P. G. Grinevich, S. P. Novikov, “Singular soliton operators and indefinite metrics”, Bulletin of the Brazilian Mathematical Society, New Series, 44:4 (2013), 809–840	6 ^[x]
49.	P. G. Grinevich, P. M. Santini, “Holomorphic eigenfunctions of the vector field associated with the dispersionless Kadomtsev-Petviashvili equation”, Journal of Differential Equations, 255:7 (2013), 1469–1491, arXiv: 1111.4446	3 ^[x]

2012
50.	P. G. Grinevich, R. G. Novikov, “Faddeev eigenfunctions for point potentials in two dimensions”, Physics Letters A, 2012, no. 376, 1102–1106, arXiv: 1110.3157	16 ^[x]

2011
51.	P. G. Grinevich, A. E. Mironov, S. P. Novikov, “Two-dimensional Pauli operator in a magnetic field”, Low temperature physics, 37 (2011), 829–833
52.	P. G. Grinevich, A. E. Mironov, S. P. Novikov, “Erratum to: Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles (Theoretical and Mathematical Physics, (2010), 164, 3, (1110-1127))”, Theoretical and Mathematical Physics, 166:2 (2011), 278
53.	P. G. Grinevich, S. P. Novikov, “Singular solitons and indefinite metrics”, Doklady Mathematics, 83:1 (2011), 56–58

2010
54.	P. G. Grinevich, A. E. Mironov, S. P. Novikov, “2D-Schrödinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data”, Russian Math. Surveys, 65:3 (2010), 580–582
55.	P. G. Grinevich, A. E. Mironov, S. P. Novikov, “Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-$1/2$ particles”, Theoret. and Math. Phys., 164:3 (2010), 1110–1127
56.	S. Abenda, P. Grinevich, “Periodic billiard orbits on n-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations”, Journal of Geometry and Physics, 60:10 (2010), 1617–1633	2 ^[x]

Full list of publications