P. G. Grinevich, “Riemann surfaces close to degenerate ones in the theory of anomalous waves”, Geometry, Topology, and Mathematical Physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday, Trudy Mat. Inst. Steklova, 325, Steklov Mathematical Institute of RAS, Moscow, 2024
2.
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;
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.
2023
4.
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. ; (Published online)
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
6.
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.
P. G. Grinevich, R. G. Novikov, “Spectral inequality for Schrödinger's equation with multipoint potential”, Russian Math. Surveys, 77:6 (2022), 1021–1028
8.
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
9.
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.
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
2021
11.
P. G. Grinevich, P. M. Santini, “The linear and nonlinear instability of the Akhmediev breather”, Nonlinearity, 34:12 (2021), 8331–8358
P. G. Grinevich, R. G. Novikov, “Transmission eigenvalues for multipoint scatterers”, Eurasian Journal of Mathematical and Computer Applications, 9:4 (2021), 17–25
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
2020
14.
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
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.
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
17.
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
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
19.
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
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
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
22.
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
23.
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
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
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
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.
P. G. Grinevich, S. P. Novikov, “Singular solitons and spectral meromorphy”, Russian Math. Surveys, 72:6 (2017), 1083–1107
28.
P. G. Grinevich, R. G. Novikov, “Multipoint scatterers with bound states at zero energy”, Theoret. and Math. Phys., 193:2 (2017), 1675–1679
2016
29.
P. G. Grinevich, R. G. Novikov, “Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps”, Funct. Anal. Appl., 50:2 (2016), 150–152
30.
P. G. Grinevich, S. P. Novikov, “On $\mathbf{s}$-meromorphic ordinary differential operators”, Russian Math. Surveys, 71:6 (2016), 1143–1145
31.
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
32.
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
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
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
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
2015
36.
P. G. Grinevich, S. P. Novikov, On the s-meromorphic OD operators, 2015 , 8 pp., arXiv: 1510.06770
37.
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
38.
P. G. Grinevich, P. M. Santini, D. Wu, “The Cauchy problem for the Pavlov equation”, Nonlinearity, 28:11 (2015), 3709–3754 , arXiv: 1310.5834
P. G. Grinevich, S. P. Novikov, “Spectrally meromorphic operators and non-linear systems”, Russian Math. Surveys, 69:5 (2014), 924–926
40.
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
41.
P. G. Grinevich, R. G. Novikov, “Faddeev eigenfunctions for multipoint potentials”, Eurasian Journal of Mathematical and Computer Applications, 1:2 (2013), 76–91
42.
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
43.
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
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
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
P. G. Grinevich, A. E. Mironov, S. P. Novikov, “Two-dimensional Pauli operator in a magnetic field”, Low temperature physics, 37 (2011), 829–833
47.
P. G. Grinevich, S. P. Novikov, “Singular solitons and indefinite metrics”, Doklady Mathematics, 83:1 (2011), 56–58
48.
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
2010
49.
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
50.
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
51.
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
P. G. Grinevich, S. P. Novikov, “Singular finite-gap operators and indefinite metrics”, Russian Math. Surveys, 64:4 (2009), 625–650
53.
P. G. Grinevich, K. V. Kaipa, “Multiscale Limit for Finite-Gap Sine-Gordon Solutions and Calculation of Topological Charge Using Theta-Functional Formulae”, Proc. Steklov Inst. Math., 266 (2009), 49–58
2008
54.
P. G. Grinevich, I. A. Taimanov, “Spectral conservation laws for periodic nonlinear equations of the Melnikov type”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 224, Amer. Math. Soc., Providence, RI, 2008, 125–138
P. G. Grinevich, R. G. Novikov, “The Cauchy kernel for the Novikov–Dynnikov DN-discrete complex analysis in triangular lattices”, Russian Math. Surveys, 62:4 (2007), 799–801
56.
P. G. Grinevich, S. P. Novikov, “Reality problems in the soliton theory”, Probability, Geometry and Integrable Systems, Math. Sci. Res. Inst. Publ., 55, Cambridge Univ. Press, Cambridge, England., 2007, 221–239
57.
P. G. Grinevich, I. A. Taimanov, “Infinitesimal Darboux transformations of the spectral curves of tori in the four-space”, International Mathematics Research Notices, 2007:2 (2007), rnm005 , 21 pp.
P. G. Grinevich, P. M. Santini, “Newtonian dynamics in the plane corresponding to straight and cyclic motions on the hyperelliptic curve $\mu^2=\nu^n-1, n\in{\mathbb Z}$: ergodicity, isochrony, periodicity and fractals”, Physica D: Nonlinear Phenomena, 232:1 (2007), 22–32
A. Doliwa, P. G. Grinevich, M. Nieszporski, P. M. Santini, “Integrable lattices and their sub-lattices: from the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme”, Journal of Mathematical Physics, 48:1 (2007), 013513 , 28 pp.
P. G. Grinevich, “$\bar\partial$-Approach to Integrable Systems”, Encyclopedia of Mathematical Physics: Five-Volume Set, eds. J.-P. Francoise, G. L. Naber, S. T. Tsou, Elsevier, 2006, 34–41
2004
61.
P. G. Grinevich, P. M. Santini, “The initial boundary value problem on the interval for the Nonlinear Schrodinger equation; the algebro-geometric approach. I.”, Geometry, Topology, and Mathematical Physics, Amer. Math. Soc. Transl. Ser. 2, 212, Amer. Math. Soc., 2004, 157–178
2003
62.
P. G. Grinevich, S. P. Novikov, “Topological phenomena in the real periodic sine-Gordon theory”, Journal of Mathematical Physics, 44:8 (2003), 3174–3184
P. G. Grinevich, S. P. Novikov, “Topological charge of the real periodic finite-gap Sine-Gordon solutions”, Communications on Pure and Applied Mathematics, 56:7 (2003), 956–978
P. G. Grinevich, S. P. Novikov, “Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge”, Russian Math. Surveys, 56:5 (2001), 980–981
65.
P. G. Grinevich, “Approximation theorem for the self-focusing nonlinear Schrodinger equation and for the periodic curves in ${\mathbb R}^3$.”, Physica D: Nonlinear Phenomena, 152/153 (2001), 20–27
P. G. Grinevich, “Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity”, Russian Math. Surveys, 55:6 (2000), 1015–1083
67.
P. G. Grinevich, M. U. Schmidt, “Closed curves in ${\mathbb R}^3$ and the nonlinear Schrodinger equation”, Proceedings of the Workshop on Nonlinearity, Integrability and All That: Twenty Years after NEEDS '79 (Gallipoli, 1999), World Scientific Publishing, River Edge, NJ, 2000, 139–145
1998
68.
P. G. Grinevich, “Golomorfnoe otobrazhenie”, Matematicheskaya fizika. Entsiklopediya, Bolshaya Rossiiskaya entsiklopediya, Moskva, 1998, 148
69.
P. G. Grinevich, “Golomorfnaya forma”, Matematicheskaya fizika. Entsiklopediya, Bolshaya Rossiiskaya entsiklopediya, Moskva, 1998, 148
70.
P. G. Grinevich, “Kompleksnoe mnogoobrazie”, Matematicheskaya fizika. Entsiklopediya, Bolshaya Rossiiskaya entsiklopediya, Moskva, 1998, 281
71.
P. G. Grinevich, “Konformnoe preobrazovanie”, Matematicheskaya fizika. Entsiklopediya, Bolshaya Rossiiskaya entsiklopediya, 1998, 288
72.
P. G. Grinevich, M. U. Schmidt, “Conformal invariant functionals of immersions of tori into ${\mathbb R}^3$”, Journal of Geometry and Physics, 26:1-2 (1998), 51–78
P. G. Grinevich, “Nonsingularity of the direct scattering transform for the Kadomtsev-Petviashvili 2 equation with real exponentially decaying at infinity potential”, Letters in Mathematical Physics, 40 (1997), 59–73
P. G. Grinevich, M. U. Schmidt, “Periodic preserving deformations of the finite-gap solutions of the soliton equations”, Proceedings of the first workshop “Nonlinear physics. Theory and experiment” (Lecce, Italy, June 29-July 7, 1995), eds. E.Alfinito, M.Boiti, L.Martina, F.Pempinelli, World Scientific, 1996, 124–130
1995
75.
P. G. Grinevich, S. P. Novikov, “Nonselfintersecting magnetic orbits on the plane. Proof of Principle of the Overthrowing of the Cycles”, Topics in topology and mathematical physics., Amer. Math. Soc. Transl. Ser. 2, 170, Amer. Math. Soc., 1995, 59–82
P. G. Grinevich, R. G. Novikov, “Transparent Potentials at Fixed Energy in Dimension Two. Fixed-Energy Dispersion Relations for the Fast Decaying Potentials”, Commun. Math. Phys., 174 (1995), 409–446
P. G. Grinevich, M. U. Schmidt, “Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations”, Physica D: Nonlinear Phenomena, 87 (1995), 73–98
P. G. Grinevich, S. P. Novikov, “String equation. II. Physical solution”, St. Petersburg Math. J., 6:3 (1995), 553–574
1994
79.
Theoret. and Math. Phys., 99:2 (1994), 599–605
80.
P. G. Grinevich, “Nonisospectral symmetries of the KdV equation and the corresponding symmetries of the Whitham equations”, Singular limits of Dispersive waves (Lyon, 8-12 July 1991), NATO ASI Series, 320, eds. N. M. Ercolany, I. R. Gabitov, C. D. Levermore, D. Serre, Springer, Boston, MA, 1994, 67–88
1993
81.
V. A. Benderskii, P. G. Grinevich, D. E. Makarov, “Quantum chemical dynamics in two dimensions”, Chem. Phys., 170 (1993), 275–293
P. G. Grinevich, A. Yu. Orlov, E. I. Schulman, “On the symmetries of the integrable systems”, Important developments in soliton theory, Springer Ser. Nonlinear Dynam., eds. A. Fokas, V. E. Zakharov, Springer-Verlag, Berlin - Heidelberg, 1993, 283–301
P. G. Grinevich, “The action of the Virasoro nonisospectral KdV symmetries of the Whitham equations”, “Nonlinear Processes in Physics” (Proccedings of the 3 Potsdam - 5 Kiev Workshop at Clarkson University) (Potsdam, NY, USA, August 1-11, 1991), eds. A. S. Fokas, D. J. Kaup, A. C. Newell, V. E.`Zakharov, Springer-Verlag, Berlin - Heidelberg, 1993, 108–112
1992
84.
V. A. Benderskii, P. G. Grinevich, D. E. Makarov, D. L. Pastur, “Preexponential factor of rate constant of low-temperature chemical reactions. Fluctuational width of tunneling channels and stability frequences”, Chem. Phys., 161 (1992), 51–61
P. G. Grinevich, A. Yu. Orlov, “Variations of the complex structure of Riemann surfaces by vector fields on a contour and objects of the KP theory. The Krichever–Novikov problem of the action on the Baker–Akhieser functions”, Funct. Anal. Appl., 24:1 (1991), 61–63
1990
86.
P. G. Grinevich, A. Yu. Orlov, “Deistvie algebry Virasoro na modulyakh rimanovykh poverkhnostei. Realizatsiya v teorii uravneniya Kadomtseva-Petviashvili. Zadacha Krichevera-Novikova o deistvii na funktsiyu Beikera-Akhiezera”, Geometriya, topologiya i prilozheniya, Min. vysshego i sredn. spets. obraz. RSFSR, Moskovskii institut priborostroeniya, 1990, 100–104
87.
P. G. Grinevich, I. M. Krichever, “Algebraic-geometry methods in soliton theory”, Soliton theory: a survey of results, Nonlinear Science: Theory and Applications, eds. A. Fordy, University press, 1990, 354–400
88.
P. G. Grinevich, A. Yu. Orlov, “Higher (nonisospectral) symmetries of the Kadomtsev-Petviashvili equations and the Virasoro action on Riemann surfaces.”, Nonlinear evolution equations and dynamical systems (Kolymbari, July 2-16 1989), Res. Rep. Phys., Springer, Berlin, 1990, 65–69
P. G. Grinevich, A. Yu. Orlov, “Effect of additional symmetries of K-P equation on the finite-gap solutions and variatons of Riemann surfaces. The Krichever-Novikov problem”, Soliton and applications (4 international Workshop, Dubna, USSR, 24 - 26 August 1989), eds. V. G. Makhankov, V. K. Fedyanin, O. K. Pashaev,, World Sci. Publ., River Edge, NJ, 1990, 147–151
1989
90.
P. G. Grinevich, “Rapidly decreasing potentials on a background of finite-zone potentials and the $\partial$-problem on Riemann spaces”, Funct. Anal. Appl., 23:4 (1989), 321–322
91.
P. G. Grinevich, A. Yu. Orlov, “Virasoro action on Riemann surfaces, Grassmanians, $\det\bar\partial$ and Segal-Wilson $\tau$- function”, In Problems of modern quantum field theory (Alushta, April 24 - May 5, 1989), Research Reports in Physics, eds. A. A. Belavin, A. U. Klimyk, A. B. Zamolodchikov, Springer, Berlin, Heidelberg, 1989, 86–106
P. G. Grinevich, A. Yu. Orlov, “Wilson $\tau$ - function and $\det\bar\partial$”, Nonlinear world: Proceedings of the 4 international workshop on nonlinear and turbulent processes in physics (Kiev 9-22 Oktober, 1989), 2, Naukova Dumka, 1989, 242–245
93.
P. G. Grinevich, A. Yu. Orlov, “Vector fields action on Riemann surfaces and KP theory. The Krichever-Novikov problem”, Nonlinear world: Proceedings of the 4 international workshop on nonlinear and turbulent processes in physics (Kiev 9-22 Oktober, 1989), 2, Naukova Dumka, 1989, 246–249
1988
94.
P. G. Grinevich, S. P. Novikov, “Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I. Energies below the ground state”, Funct. Anal. Appl., 22:1 (1988), 19–27
95.
P. G. Grinevich, G. E. Volovik, “Topology of gap nodes in superfluid $\vphantom{H}_3$He: $\pi_4$ homotopy group for $\vphantom{H}_3$He-B disclination”, Journal of Low Temp. Phys., 72:5/6 (1988), 371–389
P. G. Grinevich, S. P. Novikov, “Inverse scattering problem for the two-dimensional Schrödinger operator at a fixed negative energy and generalized analytic functions”, Plasma theory and nonlinear and turbulent processes in physics, Vol. 1, 2 (Kiev, 13-25 April 1987), World Sci. Publishing, Singapure, 1988, 58–85
1986
97.
P. G. Grinevich, R. G. Novikov, “Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem”, Dokl. Akad. Nauk SSSR, 286:1 (1986), 19–22
98.
P. G. Grinevich, S. V. Manakov, “Inverse scattering problem for the two-dimensional Schrödinger operator, the $\bar\partial$-method and nonlinear equations”, Funct. Anal. Appl., 20:2 (1986), 94–103
1987
99.
P. G. Grinevich, “Vector rank of commuting matrix differential operators. Proof of S. P. Novikov's criterion”, Math. USSR-Izv., 28:3 (1987), 445–465
1986
100.
P. G. Grinevich, “Rational solitons of the Veselov–Novikov equations are reflectionless two-dimensional potentials at fixed energy”, Theoret. and Math. Phys., 69:2 (1986), 1170–1172
1985
101.
P. G. Grinevich, R. G. Novikov, “Analogs of multisoliton potentials for the two-dimensional Schrödinger operator”, Funct. Anal. Appl., 19:4 (1985), 276–285
1984
102.
P. G. Grinevich, “Commuting matrix differential operators of arbitrary rank”, Dokl. Akad. Nauk SSSR, 278:5 (1984), 1048–1052
1982
103.
S. P. Novikov, P. G. Grinevich, “Spectral theory of commuting operators of rank two with periodic coefficients”, Funct. Anal. Appl., 16:1 (1982), 19–20
104.
P. G. Grinevich, “Rational solutions for the equation of commutation of differential operators”, Funct. Anal. Appl., 16:1 (1982), 15–19
Presentations in Math-Net.Ru
1.
TBA P. G. Grinevich 50 years of finite-gap integration September 16, 2024 12:00
Действие алгебры векторных полей на конечнозонные решения КП P. G. Grinevich, A. Yu. Orlov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS February 14, 2024 18:30
Point scatterers and transmission eigenvalues P. G. Grinevich, R. G. Novikov The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023) December 6, 2023 09:30
Сигнатуры на плабик-графах и вполне неотрицательные грассманианы P. G. Grinevich Conference “Geometry, topology and mathematical physics” on the occasion of the 85th anniversary of S.P. Novikov and the 80th anniversary of V.M. Buchstaber April 10, 2023 14:30
Точечные рассеиватели в квантовой механике P. G. Grinevich Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS August 31, 2022 14:00
Лекция 8. Формула Итса-Матвеева P. G. Grinevich Course by E. Yu. Bunkova, P. G. Grinevich and O. K. Sheinman "Algebro-geometric methods in the theory of integrable systems" March 31, 2020
Лекция 6.Обращение преобразования Абеля P. G. Grinevich Course by E. Yu. Bunkova, P. G. Grinevich and O. K. Sheinman "Algebro-geometric methods in the theory of integrable systems" March 17, 2020 18:00
Задача Коши для уравнения Павлова P. G. Grinevich Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS August 20, 2014 14:00
71.
Строго положительные грассманианы и вырожденные M-кривые P. G. Grinevich Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS March 19, 2014 18:30
Периодические орбиты бильярдов на квадриках. II P. G. Grinevich Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS November 18, 2009 18:30
85.
Периодические орбиты бильярдов на квадриках. I P. G. Grinevich Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS November 11, 2009 18:30
Geometry, Topology, and Mathematical Physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday, Trudy Mat. Inst. Steklova, 325, ed. V. M. Buchstaber, P. G. Grinevich, I. A. Dynnikov, O. K. Sheinman, 2024, 333 с. http://mi.mathnet.ru/book1987
2024
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