Edit Profile (opens in new tab) Grinevich, Pëtr Georgievich Compute Distance To: Compute Author ID: grinevich.petr-georgievich Published as: Grinevich, P. G.; Grinevich, Petr G.; Grinevich, Piotr G.; Grinevich, P. more...less Further Spellings: Piotr G. Grinevich Homepage: http://pgg.itp.ac.ru/ External Links: MGP · Wikidata · Math-Net.Ru Documents Indexed: 73 Publications since 1982 Co-Authors: 38 Co-Authors with 62 Joint Publications 1,467 Co-Co-Authors all top 5 Co-Authors 11 single-authored 22 Novikov, Sergeĭ Petrovich 12 Novikov, Roman G. 12 Santini, Paolo Maria 6 Abenda, Simonetta 5 Mironov, Andreĭ Evgen’evich 4 Schmidt, Martin Ulrich 3 Taimanov, Iskander Asanovich 2 Bukhshtaber, Viktor Matveevich 2 Orlov, Aleksandr Yu. 1 Adler, Vsevolod Eduardovich 1 Berest, Yuri Yu. 1 Chalykh, Oleg A. 1 Chekhov, Leonid O. 1 Dobrokhotov, Sergei Yurievich 1 Doliwa, Adam 1 Dubrovin, Boris Anatol’evich 1 Etingof, Pavel Il’ich 1 Feigin, Misha V. 1 Felder, J. 1 Ferapontov, Evgeny Vladimirovich 1 Grushevsky, S. M. 1 Kaipa, Krishna V. 1 Krichever, Igor’ Moiseevich 1 Manakov, S. V. 1 Marshakov, Andrei V. 1 Nekrasov, Nikita Alexandrovich 1 Nieszporski, Maciej 1 Okun’kov, Andreĭ Yur’evich 1 Olshanetsky, Mikhail A. 1 Pogrebkov, Andrei K. 1 Schulman, E. I. 1 Sergeev, Aleksandr Nikolaevich 1 Sheĭnman, Oleg Karlovich 1 Shlosman, Senya B. 1 Tsfasman, Michael A. 1 Varchenko, Alexander Nikolaevich 1 Veselov, Alexander Petrovich 1 Zabrodin, Anton V. all top 5 Serials 13 Russian Mathematical Surveys 8 Functional Analysis and its Applications 7 Theoretical and Mathematical Physics 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Physica D 2 Communications in Mathematical Physics 2 Nonlinearity 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Soviet Mathematics. Doklady 2 Proceedings of the Steklov Institute of Mathematics 1 Communications on Pure and Applied Mathematics 1 Advances in Mathematics 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Differential Equations 1 Mathematics of the USSR. Izvestiya 1 Studies in Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 St. Petersburg Mathematical Journal 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Doklady Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series all top 5 Fields 47 Partial differential equations (35-XX) 38 Dynamical systems and ergodic theory (37-XX) 11 Quantum theory (81-XX) 10 Algebraic geometry (14-XX) 10 Operator theory (47-XX) 7 Functions of a complex variable (30-XX) 7 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Differential geometry (53-XX) 4 Fluid mechanics (76-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 63 Publications have been cited 410 times in 257 Documents Cited by ▼ Year ▼ Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I: Energies below the ground state. Zbl 0672.35074Grinevich, P. G.; Novikov, S. P. 38 1988 Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity. Zbl 1022.81057Grinevich, P. G. 34 2000 Inverse scattering problem for the two-dimensional Schrödinger operator, the \({\bar\partial}\)-method and nonlinear equations. Zbl 0617.35031Grinevich, P. G.; Manakov, S. V. 31 1986 Spectral conservation laws for periodic nonlinear equations of the Melnikov type. Zbl 1158.35078Grinevich, P. G.; Taimanov, I. A. 20 2008 Transparent potentials at fixed energy in dimension two. Fixed-energy dispersion relations for the fast decaying potentials. Zbl 0843.35090Grinevich, Piotr G.; Novikov, Roman G. 20 1995 Rational degenerations of \({\mathtt M}\)-curves, totally positive Grassmannians and KP2-solitons. Zbl 1400.14094Abenda, Simonetta; Grinevich, Petr G. 18 2018 Rational solutions for the equation of commutation of differential operators. Zbl 0514.47034Grinevich, P. G. 17 1982 Integrable lattices and their sublattices: from the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme. Zbl 1121.37058Doliwa, A.; Grinevich, P.; Nieszporski, M.; Santini, P. M. 13 2007 Conformal invariant functionals of immersions of tori into \(\mathbb{R}^3\). Zbl 0949.53007Grinevich, P. G.; Schmidt, M. U. 11 1998 Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations. Zbl 1194.35345Grinevich, P. G.; Schmidt, M. U. 11 1995 The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes. Zbl 1383.35210Grinevich, P. G.; Santini, P. M. 10 2018 Spectral theory of commuting operators of rank two with periodic coefficients. Zbl 0514.47035Novikov, S. P.; Grinevich, P. G. 10 1982 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 and fractals. Zbl 1126.37040Grinevich, P. G.; Santini, P. M. 10 2007 Faddeev eigenfunctions for point potentials in two dimensions. Zbl 1255.81137Grinevich, P. G.; Novikov, R. G. 10 2012 Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem. Zbl 0616.35071Grinevich, P. G.; Novikov, R. G. 9 1986 Rational solitons of the Veselov-Novikov equations are reflectionless two-dimensional potentials at fixed energy. Zbl 0617.35121Grinevich, P. G. 9 1986 Moutard transform for generalized analytic functions. Zbl 1358.30019Grinevich, P. G.; Novikov, R. G. 8 2016 2D-Schrödinger operator, \((2+1)\) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data. Zbl 1231.35199Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 7 2010 Generalized analytic functions, Moutard-type transforms, and holomorphic maps. Zbl 1355.30041Grinevich, P. G.; Novikov, R. G. 6 2016 On the symmetries of integrable systems. Zbl 0816.35122Grinevich, P. G.; Orlov, A. Yu.; Schulman, E. I. 6 1993 Reducible \(M\)-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons. Zbl 1426.37052Abenda, Simonetta; Grinevich, Petr G. 6 2019 Analogs of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0657.35122Grinevich, P. G.; Novikov, R. G. 6 1985 Real soliton lattices of the Kadomtsev-Petviashvili II equation and desingularization of spectral curves: the \(\mathrm{Gr}^{\mathrm{TP}}(2, 4)\) case. Zbl 1437.37086Abenda, Simonetta; Grinevich, Petr G. 5 2018 Moutard transform approach to generalized analytic functions with contour poles. Zbl 1351.30034Grinevich, P. G.; Novikov, R. G. 5 2016 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. Zbl 0719.30037Grinevich, P. G.; Orlov, A. Yu. 5 1990 Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge. Zbl 1057.37066Grinevich, P. G.; Novikov, S. P. 5 2001 Singular finite-gap operators and indefinite metrics. Zbl 1180.35384Grinevich, P. G.; Novikov, S. P. 5 2009 The Cauchy problem for the Pavlov equation. Zbl 1332.35324Grinevich, P. G.; Santini, P. M.; Wu, D. 5 2015 Nonlocality and the inverse scattering transform for the Pavlov equation. Zbl 1344.35126Grinevich, P. G.; Santini, P. M. 4 2016 String equation. II: Physical solution. Zbl 0836.35142Grinevich, P. G.; Novikov, S. P. 4 1994 Nonselfintersecting magnetic orbits on the plane. Proof of the overthrowing of cycles principle. Zbl 0852.58017Grinevich, P. G.; Novikov, S. P. 4 1995 Analogues of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0606.35072Grinevich, P. G.; Novikov, R. G. 4 1985 The linear and nonlinear instability of the Akhmediev breather. Zbl 1477.35240Grinevich, P. G.; Santini, P. M. 3 2021 Nonsingularity of the direct scattering transform for the KP II equation with a real exponentially decaying-at-infinity potential. Zbl 0879.35144Grinevich, P. G. 3 1997 Singular solitons and indefinite metrics. Zbl 1248.34132Grinevich, P. G.; Novikov, S. P. 3 2011 The Cauchy kernel for the Novikov-Dynnikov DN-discrete complex analysis in triangular lattices. Zbl 1141.39019Grinevich, P. G.; Novikov, R. G. 3 2007 Moutard transforms for the conductivity equation. Zbl 1430.35227Grinevich, P. G.; Novikov, R. G. 3 2019 Singular soliton operators and indefinite metrics. Zbl 1319.34153Grinevich, Petr G.; Novikov, Sergey P. 3 2013 The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes. Zbl 1454.35340Grinevich, P. G.; Santini, P. M. 3 2019 Phase resonances of the NLS rogue wave recurrence in the quasisymmetric case. Zbl 1408.35172Grinevich, P. G.; Santini, P. M. 2 2018 Approximation theorem for the self-focusing nonlinear Schrödinger equation and for the periodic curves in \(\mathbb{R}^3\). Zbl 0981.35082Grinevich, P. G. 2 2001 Infinitesimal Darboux transformations of the spectral curves of tori in the four-space. Zbl 1141.53009Grinevich, P. G.; Taimanov, I. A. 2 2007 Topological charge of the real periodic finite-gap sine-Gordon solutions. Zbl 1044.35071Grinevich, P. G.; Novikov, S. P. 2 2003 The initial-boundary value problem on the interval for the nonlinear Schrödinger equation. The algebro-geometric approach. I. Zbl 1076.37061Grinevich, P. G.; Santini, P. M. 2 2004 Holomorphic eigenfunctions of the vector field associated with the dispersionless Kadomtsev-Petviashvili equation. Zbl 1284.35368Grinevich, P. G.; Santini, P. M. 2 2013 Discrete \(SL_{n}\)-connections and self-adjoint difference operators on 2-dimensional manifolds. Zbl 1282.39006Grinevich, P. G.; Novikov, S. P. 2 2013 Vector rank of commuting matrix differential operators. Proof of S. P. Novikov’s criterion. Zbl 0623.47049Grinevich, P. G. 2 1987 Spectrally meromorphic operators and non-linear systems. Zbl 1320.47046Grinevich, P. G.; Novikov, S. P. 2 2014 Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles. Zbl 1255.81136Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2010 Erratum to: “Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles”. Zbl 1278.81065Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2011 Creation and annihilation of point-potentials using Moutard-type transform in spectral variable. Zbl 1454.81064Grinevich, P. G.; Novikov, R. G. 1 2020 Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians. Zbl 1492.14087Abenda, Simonetta; Grinevich, Petr G. 1 2022 On \(s\)-meromorphic ordinary differential operators. Zbl 1418.34159Grinevich, P. G.; Novikov, S. P. 1 2016 An integral geometry lemma and its applications: the nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects. Zbl 1362.37141Grinevich, P. G.; Santini, Paolo M. 1 2016 Topological phenomena in the real periodic sine-Gordon theory. Zbl 1062.35114Grinevich, P. G.; Novikov, S. P. 1 2003 Numerical instability of the Akhmediev breather and a finite-gap model of it. Zbl 1477.37081Grinevich, P. G.; Santini, P. M. 1 2018 Nonisospectral symmetries of the KdV equation and the corresponding symmetries of the Whitham equations. Zbl 0848.35113Grinevich, P. G. 1 1994 Closed curves in \(\mathbb{R}^3\) and the nonlinear Schrödinger equation. Zbl 0964.35149Grinevich, P. G.; Schmidt, M. U. 1 2000 Rapidly decreasing potentials on a background of finite-zone potentials and the \(\bar\partial\)-problem on Riemann surfaces. Zbl 0748.35025Grinevich, P. G. 1 1989 Inverse scattering problem for the two-dimensional Schrödinger operator at a fixed negative energy and generalized analytic functions. Zbl 0704.35137Grinevich, P. G.; Novikov, S. P. 1 1988 Commuting matrix differential operators of arbitrary rank. Zbl 0598.47049Grinevich, P. G. 1 1984 Periodic billiard orbits on \(n\)-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations. Zbl 1205.14047Abenda, Simonetta; Grinevich, Petr G. 1 2010 On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator. Zbl 1330.81080Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2015 Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians. Zbl 1492.14087Abenda, Simonetta; Grinevich, Petr G. 1 2022 The linear and nonlinear instability of the Akhmediev breather. Zbl 1477.35240Grinevich, P. G.; Santini, P. M. 3 2021 Creation and annihilation of point-potentials using Moutard-type transform in spectral variable. Zbl 1454.81064Grinevich, P. G.; Novikov, R. G. 1 2020 Reducible \(M\)-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons. Zbl 1426.37052Abenda, Simonetta; Grinevich, Petr G. 6 2019 Moutard transforms for the conductivity equation. Zbl 1430.35227Grinevich, P. G.; Novikov, R. G. 3 2019 The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes. Zbl 1454.35340Grinevich, P. G.; Santini, P. M. 3 2019 Rational degenerations of \({\mathtt M}\)-curves, totally positive Grassmannians and KP2-solitons. Zbl 1400.14094Abenda, Simonetta; Grinevich, Petr G. 18 2018 The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes. Zbl 1383.35210Grinevich, P. G.; Santini, P. M. 10 2018 Real soliton lattices of the Kadomtsev-Petviashvili II equation and desingularization of spectral curves: the \(\mathrm{Gr}^{\mathrm{TP}}(2, 4)\) case. Zbl 1437.37086Abenda, Simonetta; Grinevich, Petr G. 5 2018 Phase resonances of the NLS rogue wave recurrence in the quasisymmetric case. Zbl 1408.35172Grinevich, P. G.; Santini, P. M. 2 2018 Numerical instability of the Akhmediev breather and a finite-gap model of it. Zbl 1477.37081Grinevich, P. G.; Santini, P. M. 1 2018 Moutard transform for generalized analytic functions. Zbl 1358.30019Grinevich, P. G.; Novikov, R. G. 8 2016 Generalized analytic functions, Moutard-type transforms, and holomorphic maps. Zbl 1355.30041Grinevich, P. G.; Novikov, R. G. 6 2016 Moutard transform approach to generalized analytic functions with contour poles. Zbl 1351.30034Grinevich, P. G.; Novikov, R. G. 5 2016 Nonlocality and the inverse scattering transform for the Pavlov equation. Zbl 1344.35126Grinevich, P. G.; Santini, P. M. 4 2016 On \(s\)-meromorphic ordinary differential operators. Zbl 1418.34159Grinevich, P. G.; Novikov, S. P. 1 2016 An integral geometry lemma and its applications: the nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects. Zbl 1362.37141Grinevich, P. G.; Santini, Paolo M. 1 2016 The Cauchy problem for the Pavlov equation. Zbl 1332.35324Grinevich, P. G.; Santini, P. M.; Wu, D. 5 2015 On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator. Zbl 1330.81080Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2015 Spectrally meromorphic operators and non-linear systems. Zbl 1320.47046Grinevich, P. G.; Novikov, S. P. 2 2014 Singular soliton operators and indefinite metrics. Zbl 1319.34153Grinevich, Petr G.; Novikov, Sergey P. 3 2013 Holomorphic eigenfunctions of the vector field associated with the dispersionless Kadomtsev-Petviashvili equation. Zbl 1284.35368Grinevich, P. G.; Santini, P. M. 2 2013 Discrete \(SL_{n}\)-connections and self-adjoint difference operators on 2-dimensional manifolds. Zbl 1282.39006Grinevich, P. G.; Novikov, S. P. 2 2013 Faddeev eigenfunctions for point potentials in two dimensions. Zbl 1255.81137Grinevich, P. G.; Novikov, R. G. 10 2012 Singular solitons and indefinite metrics. Zbl 1248.34132Grinevich, P. G.; Novikov, S. P. 3 2011 Erratum to: “Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles”. Zbl 1278.81065Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2011 2D-Schrödinger operator, \((2+1)\) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data. Zbl 1231.35199Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 7 2010 Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles. Zbl 1255.81136Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 1 2010 Periodic billiard orbits on \(n\)-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations. Zbl 1205.14047Abenda, Simonetta; Grinevich, Petr G. 1 2010 Singular finite-gap operators and indefinite metrics. Zbl 1180.35384Grinevich, P. G.; Novikov, S. P. 5 2009 Spectral conservation laws for periodic nonlinear equations of the Melnikov type. Zbl 1158.35078Grinevich, P. G.; Taimanov, I. A. 20 2008 Integrable lattices and their sublattices: from the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme. Zbl 1121.37058Doliwa, A.; Grinevich, P.; Nieszporski, M.; Santini, P. M. 13 2007 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 and fractals. Zbl 1126.37040Grinevich, P. G.; Santini, P. M. 10 2007 The Cauchy kernel for the Novikov-Dynnikov DN-discrete complex analysis in triangular lattices. Zbl 1141.39019Grinevich, P. G.; Novikov, R. G. 3 2007 Infinitesimal Darboux transformations of the spectral curves of tori in the four-space. Zbl 1141.53009Grinevich, P. G.; Taimanov, I. A. 2 2007 The initial-boundary value problem on the interval for the nonlinear Schrödinger equation. The algebro-geometric approach. I. Zbl 1076.37061Grinevich, P. G.; Santini, P. M. 2 2004 Topological charge of the real periodic finite-gap sine-Gordon solutions. Zbl 1044.35071Grinevich, P. G.; Novikov, S. P. 2 2003 Topological phenomena in the real periodic sine-Gordon theory. Zbl 1062.35114Grinevich, P. G.; Novikov, S. P. 1 2003 Real finite-zone solutions of the sine-Gordon equation: a formula for the topological charge. Zbl 1057.37066Grinevich, P. G.; Novikov, S. P. 5 2001 Approximation theorem for the self-focusing nonlinear Schrödinger equation and for the periodic curves in \(\mathbb{R}^3\). Zbl 0981.35082Grinevich, P. G. 2 2001 Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity. Zbl 1022.81057Grinevich, P. G. 34 2000 Closed curves in \(\mathbb{R}^3\) and the nonlinear Schrödinger equation. Zbl 0964.35149Grinevich, P. G.; Schmidt, M. U. 1 2000 Conformal invariant functionals of immersions of tori into \(\mathbb{R}^3\). Zbl 0949.53007Grinevich, P. G.; Schmidt, M. U. 11 1998 Nonsingularity of the direct scattering transform for the KP II equation with a real exponentially decaying-at-infinity potential. Zbl 0879.35144Grinevich, P. G. 3 1997 Transparent potentials at fixed energy in dimension two. Fixed-energy dispersion relations for the fast decaying potentials. Zbl 0843.35090Grinevich, Piotr G.; Novikov, Roman G. 20 1995 Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations. Zbl 1194.35345Grinevich, P. G.; Schmidt, M. U. 11 1995 Nonselfintersecting magnetic orbits on the plane. Proof of the overthrowing of cycles principle. Zbl 0852.58017Grinevich, P. G.; Novikov, S. P. 4 1995 String equation. II: Physical solution. Zbl 0836.35142Grinevich, P. G.; Novikov, S. P. 4 1994 Nonisospectral symmetries of the KdV equation and the corresponding symmetries of the Whitham equations. Zbl 0848.35113Grinevich, P. G. 1 1994 On the symmetries of integrable systems. Zbl 0816.35122Grinevich, P. G.; Orlov, A. Yu.; Schulman, E. I. 6 1993 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. Zbl 0719.30037Grinevich, P. G.; Orlov, A. Yu. 5 1990 Rapidly decreasing potentials on a background of finite-zone potentials and the \(\bar\partial\)-problem on Riemann surfaces. Zbl 0748.35025Grinevich, P. G. 1 1989 Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I: Energies below the ground state. Zbl 0672.35074Grinevich, P. G.; Novikov, S. P. 38 1988 Inverse scattering problem for the two-dimensional Schrödinger operator at a fixed negative energy and generalized analytic functions. Zbl 0704.35137Grinevich, P. G.; Novikov, S. P. 1 1988 Vector rank of commuting matrix differential operators. Proof of S. P. Novikov’s criterion. Zbl 0623.47049Grinevich, P. G. 2 1987 Inverse scattering problem for the two-dimensional Schrödinger operator, the \({\bar\partial}\)-method and nonlinear equations. Zbl 0617.35031Grinevich, P. G.; Manakov, S. V. 31 1986 Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem. Zbl 0616.35071Grinevich, P. G.; Novikov, R. G. 9 1986 Rational solitons of the Veselov-Novikov equations are reflectionless two-dimensional potentials at fixed energy. Zbl 0617.35121Grinevich, P. G. 9 1986 Analogs of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0657.35122Grinevich, P. G.; Novikov, R. G. 6 1985 Analogues of multisoliton potentials for the two-dimensional Schrödinger operator. Zbl 0606.35072Grinevich, P. G.; Novikov, R. G. 4 1985 Commuting matrix differential operators of arbitrary rank. Zbl 0598.47049Grinevich, P. G. 1 1984 Rational solutions for the equation of commutation of differential operators. Zbl 0514.47034Grinevich, P. G. 17 1982 Spectral theory of commuting operators of rank two with periodic coefficients. Zbl 0514.47035Novikov, S. P.; Grinevich, P. G. 10 1982 all cited Publications top 5 cited Publications all top 5 Cited by 249 Authors 30 Grinevich, Pëtr Georgievich 22 Novikov, Roman G. 12 Santini, Paolo Maria 12 Taimanov, Iskander Asanovich 9 Novikov, Sergeĭ Petrovich 8 Abenda, Simonetta 7 Yakhshimuratov, Alisher Bekchanovich 6 Calogero, Francesco A. 6 Khasanov, Aknazar Bekdurdievich 5 Boiti, Marco 5 Mironov, Andreĭ Evgen’evich 5 Pempinelli, Flora 4 Agaltsov, Alexey D. 4 Babajanov, Bazar Atajanovich 4 Doliwa, Adam 4 Klein, Christian 4 Konopelchenko, Boris Georgievich 4 Lin, Runliang 4 Pogrebkov, Andrei K. 4 Previato, Emma 4 Santacesaria, Matteo 4 Siltanen, Samuli 4 Zheglov, Alexander B. 3 Adler, Mark 3 Bohle, Christoph 3 Dubrovsky, V. G. 3 Gesztesy, Fritz 3 Gómez-Ullate, David 3 Kazeykina, A. V. 3 Kazeykina, Anna 3 Lassas, Matti J. 3 Nakayashiki, Atsushi 3 Pedit, Franz J. 3 Pinkall, Ulrich 3 Topovsky, A. V. 3 Tsarev, Sergej Petrovich 3 Urazboev, Gayrat U. 3 van Moerbeke, Pierre 3 Vasilevskiĭ, B. O. 3 Veselov, Alexander Petrovich 3 Weikard, Rudi 3 Wu, Derchyi 2 Basalaev, M. Yu. 2 Bogdanov, Leonid Vital’evich 2 Bukhshtaber, Viktor Matveevich 2 Calini, Annalisa M. 2 Chang, Jen-Hsu 2 Davletshina, Valentina N. 2 Dubrovin, Boris Anatol’evich 2 Enolskiĭ, Viktor Zelikovich 2 Etingof, Pavel Il’ich 2 Fokas, Athanassios S. 2 Grava, Tamara 2 Hallnäs, Martin A. 2 Hohage, Thorsten 2 Hone, Andrew N. W. 2 Ivey, Thomas A. 2 Khenkin, Gennadiĭ Markovich 2 Kilian, Martin 2 Klibanov, Michael V. 2 Kriecherbauer, Thomas 2 Kudryavtsev, A. G. 2 Kurylëv, Yaroslav Vadimovich 2 Lakshtanov, Evgeny L. 2 Latham, Geoff A. 2 Leschke, Katrin 2 Leyvraz, Francois 2 Liu, Hanli 2 Manakov, S. V. 2 Mauleshova, Gulnara S. 2 Mueller, Jennifer L. 2 Muñoz, Claudio 2 Music, Michael 2 Nicoleau, François 2 Nieszporski, Maciej 2 Pantong, Natee 2 Perry, Peter A. 2 Prinari, Barbara 2 Rumyantseva, Olga D. 2 Salo, Mikko 2 Schmidt, Martin Ulrich 2 Shan, Hua 2 Shemyakova, Ekaterina 2 Shiota, Takahiro 2 Sommacal, Matteo 2 Su, Jianzhong 2 Tamminen, Janne P. 2 Tzou, Leo 2 Unterkofler, Karl 2 Vaĭnberg, Boris Rufimovich 2 Wright, Otis Clarence III 2 Zeng, Yunbo 1 Agostini, Daniele 1 Allanazarova, T. Zh. 1 Angelopoulos, Yannis 1 Arriagada, Waldo G. 1 Babadjanova, Aygul Kamildjanovna 1 Bahri, Abbas 1 Bakalov, Bojko 1 Barceló, Juan Antonio ...and 149 more Authors all top 5 Cited in 81 Serials 23 Theoretical and Mathematical Physics 19 Journal of Mathematical Physics 14 Physica D 10 Journal of Geometry and Physics 8 Physics Letters. A 7 Nonlinearity 7 Functional Analysis and its Applications 7 Journal of Nonlinear Mathematical Physics 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Proceedings of the Steklov Institute of Mathematics 6 Communications in Mathematical Physics 6 Mathematical Notes 6 Siberian Mathematical Journal 6 The Journal of Geometric Analysis 5 Russian Mathematical Surveys 5 Studies in Applied Mathematics 5 Journal of Nonlinear Science 5 Journal of Inverse and Ill-Posed Problems 4 Applicable Analysis 4 Bulletin des Sciences Mathématiques 3 Inverse Problems 3 Letters in Mathematical Physics 3 Physics Letters. B 3 Duke Mathematical Journal 3 Journal of Differential Equations 3 Journal of Functional Analysis 3 Journal of Soviet Mathematics 3 Programming and Computer Software 3 Communications in Partial Differential Equations 3 Journal of Mathematical Sciences (New York) 3 Mathematical Physics, Analysis and Geometry 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 Compositio Mathematica 2 Journal für die Reine und Angewandte Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Regular and Chaotic Dynamics 2 Annales Henri Poincaré 2 Inverse Problems and Imaging 2 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Ricerche di Matematica 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Russian Mathematics 1 Experimental Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Selecta Mathematica. New Series 1 Sbornik: Mathematics 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Journal of Mathematical Physics, Analysis, Geometry 1 Inverse Problems in Science and Engineering 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Mathematical Physics 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Cited in 43 Fields 155 Partial differential equations (35-XX) 111 Dynamical systems and ergodic theory (37-XX) 50 Quantum theory (81-XX) 31 Algebraic geometry (14-XX) 29 Ordinary differential equations (34-XX) 23 Differential geometry (53-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Difference and functional equations (39-XX) 13 Operator theory (47-XX) 12 Functions of a complex variable (30-XX) 12 Special functions (33-XX) 10 Numerical analysis (65-XX) 10 Optics, electromagnetic theory (78-XX) 9 Fluid mechanics (76-XX) 7 Commutative algebra (13-XX) 6 Mechanics of particles and systems (70-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Mechanics of deformable solids (74-XX) 3 Relativity and gravitational theory (83-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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