Edit Profile (opens in new tab) Pelinovsky, Dmitry Efimovich Compute Distance To: Compute Author ID: pelinovsky.dmitry-e Published as: Pelinovsky, Dmitry E.; Pelinovsky, Dmitry; Pelinovsky, D. E.; Pelinovsky, D.; Pelinovsky, Dimitry E.; Pelinovsky, Dmitri E.; Pelinovsky, Dimitry more...less Homepage: https://dmpeli.math.mcmaster.ca/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 228 Publications since 1994, including 3 Books 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 119 Reviews Co-Authors: 151 Co-Authors with 213 Joint Publications 3,906 Co-Co-Authors all top 5 Co-Authors 19 single-authored 20 Kevrekidis, Panayotis G. 13 Schneider, Guido 12 Grimshaw, Roger Hamilton James 8 Yang, Jianke 6 Chen, Jinbing 6 Chugunova, Marina A. 6 Kairzhan, Adilbek 6 Le, Uyen 5 Contreras, Andres A. 5 Cuccagna, Scipio 5 Sakovich, Anton 5 Shimabukuro, Yusuke 5 Sulem, Catherine 4 Barashenkov, Igor V. 4 Khusnutdinova, Karima Robertovna 4 Rothos, Vassilis M. 4 Stefanov, Atanas G. 3 Bizoń, Piotr 3 Dohnal, Tomáš 3 Gallo, Clément 3 Geyer, Anna 3 Ibragimov, Ranis N. 3 James, Guillaume 3 Kivshar, Yuri S. 3 Marzuola, Jeremy Louis 3 Natali, Fábio M. Amorin 3 Noja, Diego 3 Stepanyants, Yury A. 2 Alexeeva, Nora V. 2 Champneys, Alan R. 2 Chernyavskiĭ, Aleksandr Grigor’evich 2 Chong, Christopher 2 Coles, Matt 2 Comech, Andrew 2 Deconinck, Bernard 2 Fokas, Athanassios S. 2 Foster, Jamie M. 2 Frantzeskakis, Dimitri J. 2 Gallay, Thierry 2 Gorshkov, Konstantin A. 2 Grasselli, Matheus R. 2 Haragus, Mariana 2 Huh, Hyungjin 2 Hunik-Kostyra, Dominika 2 Kirr, E. W. 2 Konotop, Vladimir V. 2 Lafortune, Stéphane 2 Liu, Yue 2 Melvin, Thomas R. O. 2 Mizumachi, Tetsu 2 Paleari, Simone 2 Penati, Tiziano 2 Poullet, Pascal 2 Ross, R. M. 2 Saalmann, Aaron 2 Slunyaev, Alexey V. 2 Sobieszek, Szymon 2 Tyugin, Dmitry Y. 2 Vougalter, Vitali 2 White, Robert E. 2 Zezyulin, Dmitry A. 2 Zharnitsky, Vadim 1 Abdelrazec, Ahmed 1 Afanasjev, Vsevolod V. 1 Agueev, Dmitri 1 Alama, Stan 1 Alekseenko, Sergey N. 1 Alfimov, Georgiĭ Leonidovich 1 Bambusi, Dario 1 Belmonte-Beitia, Juan 1 Berkolaiko, Gregory 1 Betti, Matthew I. 1 Bronsard, Lia 1 Buryak, Alexander V. 1 Carles, Rémi 1 Carter, John D. 1 Chen, Robin Ming 1 Choudhury, Sudipto Roy 1 Cuevas Maraver, Jesús 1 Debnath, Lokenath 1 Destyl, Edès 1 Desyatnikov, Anton S. 1 Dontsova, Marina Vladimirovna 1 Dubard, Philippe 1 Dumas, Éric 1 Ficek, Filip 1 Fukuizumi, Reika 1 Galkin, Vladimir Michaylovich 1 García-Azpeitia, Carlos 1 Gibbon, John D. 1 Gilg, Steffen 1 Goodman, Roy H. 1 Gysbers, P. 1 Hoefer, Mark A. 1 Hristov, Nikolay 1 Hupkes, Hermen Jan 1 Hussain, Swaleh 1 Iooss, Gérard 1 Johnson, Robin Stanley 1 Joshi, Nalini ...and 60 more Co-Authors all top 5 Serials 22 Physica D 14 Nonlinearity 10 Journal of Mathematical Physics 10 Journal of Differential Equations 10 Studies in Applied Mathematics 10 Journal of Physics A: Mathematical and Theoretical 9 SIAM Journal on Mathematical Analysis 8 Journal of Nonlinear Science 8 SIAM Journal on Applied Dynamical Systems 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Physics Letters. A 5 Chaos 4 Applicable Analysis 4 Communications in Mathematical Physics 4 Journal of Physics A: Mathematical and General 4 SIAM Journal on Applied Mathematics 4 Journal of Dynamics and Differential Equations 4 Discrete and Continuous Dynamical Systems 4 Dynamics of Partial Differential Equations 3 Communications on Pure and Applied Mathematics 3 Letters in Mathematical Physics 3 Wave Motion 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics Letters 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Inverse Problems 2 Journal of Mathematical Analysis and Applications 2 Theoretical and Mathematical Physics 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 IMRN. International Mathematics Research Notices 2 Communications in Partial Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Physics of Fluids 2 NoDEA. Nonlinear Differential Equations and Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 AMRX. Applied Mathematics Research eXpress 2 Oberwolfach Reports 2 Discrete and Continuous Dynamical Systems. Series S 1 Archive for Rational Mechanics and Analysis 1 International Journal of Theoretical Physics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Reviews in Mathematical Physics 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 Fractional Calculus & Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Annales Henri Poincaré 1 Physical Review Letters 1 Discrete and Continuous Dynamical Systems. Series B 1 Milan Journal of Mathematics 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 London Mathematical Society Lecture Note Series 1 Advances in Fluid Mechanics 1 RIMS Kôkyûroku Bessatsu 1 Mathematical Modelling of Natural Phenomena 1 Analysis and Mathematical Physics 1 Mechanical Engineering and Solid Mechanics Series all top 5 Fields 197 Partial differential equations (35-XX) 102 Dynamical systems and ergodic theory (37-XX) 32 Fluid mechanics (76-XX) 32 Quantum theory (81-XX) 25 Ordinary differential equations (34-XX) 20 Numerical analysis (65-XX) 18 Difference and functional equations (39-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Optics, electromagnetic theory (78-XX) 7 General and overarching topics; collections (00-XX) 7 Operator theory (47-XX) 5 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 204 Publications have been cited 2,072 times in 1,181 Documents Cited by ▼ Year ▼ Spectra of positive and negative energies in the linearized NLS problem. Zbl 1064.35181Cuccagna, S.; Pelinovsky, D.; Vougalter, V. 59 2005 Convergence of Petviashvili’s iteration method for numerical approximation of stationary solutions of nonlinear wave equations. Zbl 1086.65098Pelinovsky, Dmitry E.; Stepanyants, Yury A. 57 2004 Wave breaking in the short-pulse equation. Zbl 1190.35061Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 44 2009 Localization in periodic potentials. From Schrödinger operators to the Gross-Pitaevskii equation. Zbl 1229.35003Pelinovsky, Dmitry E. 42 2011 Global well-posedness of the short-pulse and sine-Gordon equations in energy space. Zbl 1204.35010Pelinovsky, Dmitry; Sakovich, Anton 40 2010 Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph. Zbl 1328.35216Noja, Diego; Pelinovsky, Dmitry; Shaikhova, Gaukhar 39 2015 Purely nonlinear instability of standing waves with minimal energy. Zbl 1072.35165Comech, Andrew; Pelinovsky, Dmitry 38 2003 Stability of discrete solitons in nonlinear Schrödinger lattices. Zbl 1088.39004Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J. 38 2005 Interaction of lumps with a line soliton for the DSII equation. Zbl 0977.35132Fokas, A. S.; Pelinovsky, D. E.; Sulem, C. 37 2001 Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials. Zbl 1235.34128Kirr, E.; Kevrekidis, P. G.; Pelinovsky, D. E. 33 2011 Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 32 2010 Ground state on the dumbbell graph. Zbl 1345.35105Marzuola, Jeremy L.; Pelinovsky, Dmitry E. 32 2016 Rogue periodic waves of the modified KdV equation. Zbl 1393.35201Chen, Jinbing; Pelinovsky, Dmitry E. 31 2018 Convergence of the Adomian decomposition method for initial-value problems. Zbl 1250.65089Abdelrazec, Ahmed; Pelinovsky, Dmitry 31 2011 Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256Chen, Jinbing; Pelinovsky, Dmitry E. 31 2018 Inertia law for spectral stability of solitary waves in coupled nonlinear Schrödinger equations. Zbl 1145.37333Pelinovsky, Dmitry E. 28 2005 On the exchange of energy in coupled Klein — Gordon equations. Zbl 1163.74380Khusnutdinova, K. R.; Pelinovsky, D. E. 28 2003 Bifurcations of standing localized waves on periodic graphs. Zbl 1387.35556Pelinovsky, Dmitry; Schneider, Guido 28 2017 Generation of large-amplitude solitons in the extended Korteweg-de Vries equation. Zbl 1080.35532Grimshaw, Roger; Pelinovsky, Dmitry; Pelinovsky, Efim; Slunyaev, Alexey 27 2002 Multi-site breathers in Klein-Gordon lattices: stability, resonances and bifurcations. Zbl 1323.37044Pelinovsky, Dmitry; Sakovich, Anton 24 2012 Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226Chen, Jinbing; Pelinovsky, Dmitry E. 23 2019 Survey on global existence in the nonlinear Dirac equations in one spatial dimension. Zbl 1236.35136Pelinovsky, Dmitry 22 2011 Structural transformation of eigenvalues for a perturbed algebraic soliton potential. Zbl 1043.35522Pelinovsky, Dmitry E.; Grimshaw, Roger H. J. 22 1997 The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 1457.35067Cuccagna, Scipio; Pelinovsky, Dmitry E. 22 2014 Count of eigenvalues in the generalized eigenvalue problem. Zbl 1310.35212Chugunova, Marina; Pelinovsky, Dmitry 21 2010 Rational solutions of the Kadomtsev-Petviashvili hierarchy and the dynamics of their poles. I: New form of a general rational solution. Zbl 0817.35097Pelinovsky, Dmitry 20 1994 Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential. Zbl 1186.35207Pelinovsky, Dmitry; Schneider, Guido 20 2010 Gaussian solitary waves and compactons in Fermi-pasta-Ulam lattices with Hertzian potentials. Zbl 1371.37130James, Guillaume; Pelinovsky, Dmitry 19 2014 Block-diagonalization of the symmetric first-order coupled-mode system. Zbl 1102.35062Chugunova, Marina; Pelinovsky, Dmitry 19 2006 On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension. Zbl 1159.81336Pelinovsky, D. E.; Stefanov, A. 19 2008 Persistence and stability of discrete vortices in nonlinear Schrödinger lattices. Zbl 1088.39005Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J. 19 2005 The structure of the rational solutions to the Boussinesq equation. Zbl 0900.35341Galkin, V. M.; Pelinovsky, D. E.; Stepanyants, Yu. A. 18 1995 Wave group dynamics in weakly nonlinear long-wave models. Zbl 1006.76012Grimshaw, Roger; Pelinovsky, Dmitry; Pelinovsky, Efim; Talipova, Tatiana 18 2001 Global existence of small-norm solutions in the reduced Ostrovsky equation. Zbl 1277.35008Grimshaw, Roger; Pelinovsky, Dmitry 17 2014 Domain walls in the coupled Gross-Pitaevskii equations. Zbl 1308.35261Alama, Stan; Bronsard, Lia; Contreras, Andres; Pelinovsky, Dmitry E. 17 2015 Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability. Zbl 1490.35399Chen, Jinbing; Pelinovsky, Dmitry E.; White, Robert E. 17 2020 Justification of the lattice equation for a nonlinear elliptic problem with a periodic potential. Zbl 1162.47059Pelinovsky, Dmitry; Schneider, Guido; MacKay, Robert S. 16 2008 Internal modes of envelope solitons. Zbl 0934.35175Pelinovsky, Dmitry E.; Kivshar, Yuri S.; Afanasjev, Vsevolod V. 16 1998 The derivative NLS equation: global existence with solitons. Zbl 1386.35311Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke 16 2017 Asymptotic stability of small gap solitons in nonlinear Dirac equations. Zbl 1279.35083Pelinovsky, Dmitry E.; Stefanov, Atanas 16 2012 Bifurcations of travelling wave solutions in the discrete NLS equations. Zbl 1086.34059Pelinovsky, Dmitry E.; Rothos, Vassilis M. 16 2005 Orbital stability of Dirac solitons. Zbl 1292.35256Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 16 2014 Asymptotic stability of small bound states in the discrete nonlinear Schrödinger equation. Zbl 1197.35270Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A. 16 2009 Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves. Zbl 1326.35340Gallay, Thierry; Pelinovsky, Dmitry 15 2015 Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential. Zbl 1177.35216Dohnal, Tomáš; Pelinovsky, Dmitry; Schneider, Guido 15 2009 A normal form for nonlinear resonance of embedded solitons. Zbl 1056.35137Pelinovsky, Dmitry E.; Yang, Jianke 15 2002 Translationally invariant nonlinear Schrödinger lattices. Zbl 1111.39014Pelinovsky, Dmitry E. 14 2006 Rational solutions of the KP hierarchy and the dynamics of their poles. II: Construction of the degenerate polynomial solutions. Zbl 0927.37048Pelinovsky, Dmitry 14 1998 Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential. Zbl 1132.41344Pelinovsky, Dmitry; Schneider, Guido 14 2007 Nonlinear instability of half-solitons on star graphs. Zbl 1392.35289Kairzhan, Adilbek; Pelinovsky, Dmitry E. 14 2018 Validity of the NLS approximation for periodic quantum graphs. Zbl 1367.35156Gilg, Steffen; Pelinovsky, Dmitry; Schneider, Guido 14 2016 Rigorous justification of the short-pulse equation. Zbl 1268.35089Pelinovsky, Dmitry; Schneider, Guido 13 2013 Two-pulse solutions in the fifth-order KdV equation: rigorous theory and numerical approximations. Zbl 1132.35452Chugunova, Marina; Pelinovsky, Dmitry 13 2007 Spectral stability of shifted states on star graphs. Zbl 1397.35278Kairzhan, Adilbek; Pelinovsky, Dmitry E. 13 2018 Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation. Zbl 1251.35153Pelinovsky, D. E.; Phan, T. V. 13 2012 Propagation failure in the discrete Nagumo equation. Zbl 1235.34034Hupkes, H. J.; Pelinovsky, D.; Sandstede, B. 13 2011 Existence of global solutions to the derivative NLS equation with the inverse scattering transform method. Zbl 1410.35212Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 13 2018 Sharp bounds on enstrophy growth in the viscous Burgers equation. Zbl 1371.35255Pelinovsky, Dmitry 12 2012 Normal form for travelling kinks in discrete Klein-Gordon lattices. Zbl 1102.37045Iooss, Gerard; Pelinovsky, Dmitry E. 12 2006 Instabilities of multihump vector solitons in coupled nonlinear Schrödinger equations. Zbl 1145.35461Pelinovsky, Dmitry E.; Yang, Jianke 12 2005 On the Thomas-Fermi ground state in a harmonic potential. Zbl 1225.35217Gallo, Clément; Pelinovsky, Dmitry 12 2011 \(L^{2}\) orbital stability of Dirac solitons in the massive Thirring model. Zbl 1342.35287Contreras, Andres; Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 12 2016 Standing waves of the quintic NLS equation on the tadpole graph. Zbl 1448.35474Noja, Diego; Pelinovsky, Dmitry E. 11 2020 Evans function for Lax operators with algebraically decaying potentials. Zbl 1117.35070Klaus, Martin; Pelinovsky, Dmitry E.; Rothos, Vassilis M. 11 2006 Bäcklund transformation and \(L^{2}\)-stability of NLS solitons. Zbl 1239.35148Mizumachi, Tetsu; Pelinovsky, Dmitry 11 2012 Transverse instabilities of deep-water solitary waves. Zbl 1149.76627Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D. 11 2006 Periodic traveling waves in diatomic granular chains. Zbl 1405.34016Betti, Matthew; Pelinovsky, Dmitry E. 11 2013 Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry 11 2013 Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrödinger lattices. Zbl 1213.35369Chong, Christopher; Pelinovsky, Dmitry 11 2011 Modeling of wave resonances in low-contrast photonic crystals. Zbl 1074.78011Agueev, Dmitri; Pelinovsky, Dmitry 10 2005 Justification of the log-KdV equation in granular chains: the case of precompression. Zbl 1317.34020Dumas, Eric; Pelinovsky, Dmitry 10 2014 Standing lattice solitons in the discrete NLS equation with saturation. Zbl 1423.34019Alfimov, G. L.; Korobeinikov, A. S.; Lustri, C. J.; Pelinovsky, D. E. 10 2019 Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem. Zbl 1110.35082Cuccagna, Scipio; Pelinovsky, Dmitry 9 2005 An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations. Zbl 0885.35112Pelinovsky, Dmitry E.; Grimshaw, Roger H. J. 9 1996 Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations. Zbl 1347.37123Pelinovsky, Dmitry; Penati, Tiziano; Paleari, Simone 9 2016 Dimer with gain and loss: integrability and \(\mathcal{PT}\)-symmetry restoration. Zbl 1329.35275Barashenkov, I. V.; Pelinovsky, D. E.; Dubard, P. 9 2015 Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation. Zbl 1234.37051Pelinovsky, Dmitry; Sakovich, Anton 9 2011 Convergence of Petviashvili’s method near periodic waves in the fractional Korteweg-de Vries equation. Zbl 1419.35178Le, Uyen; Pelinovsky, Dmitry E. 9 2019 Nonlinear modes in a generalized \(\mathcal{PT}\)-symmetric discrete nonlinear Schrödinger equation. Zbl 1297.35220Pelinovsky, D. E.; Zezyulin, D. A.; Konotop, V. V. 9 2014 Parametric resonance of ground states in the nonlinear Schrödinger equation. Zbl 1081.35101Cuccagna, S.; Kirr, E.; Pelinovsky, D. 9 2006 Semi-stability of embedded solitons in the general fifth-order KdV equation. Zbl 1163.74446Tan, Yu; Yang, Jianke; Pelinovsky, Dmitry E. 8 2002 Spectral stability and time evolution of \(N\)-solitons in the KdV hierarchy. Zbl 1080.35120Kodama, Yuji; Pelinovsky, Dmitry 8 2005 Spectral stability of periodic waves in the generalized reduced Ostrovsky equation. Zbl 1373.35041Geyer, Anna; Pelinovsky, Dmitry E. 8 2017 On the validity of the variational approximation in discrete nonlinear Schrödinger equations. Zbl 1252.35247Chong, Christopher; Pelinovsky, Dmitry E.; Schneider, Guido 8 2012 Travelling kinks in discrete \(\phi^4\) models. Zbl 1101.82008Oxtoby, O. F.; Pelinovsky, D. E.; Barashenkov, I. V. 8 2006 Discrete traveling solitons in the Salerno model. Zbl 1171.34041Melvin, Thomas R. O.; Champneys, Alan R.; Pelinovsky, Dmitry E. 8 2009 Stability analysis of embedded solitons in the generalized third-order nonlinear Schrödinger equation. Zbl 1144.37398Pelinovsky, Dmitry E.; Yang, Jianke 8 2005 Spectrum of a non-self-adjoint operator associated with the periodic heat equation. Zbl 1167.35025Chugunova, Marina; Pelinovsky, Dmitry 8 2008 Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E. 8 2016 Variational approximations of trapped vortices in the large-density limit. Zbl 1216.35145Pelinovsky, D. E.; Kevrekidis, P. G. 8 2011 Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y. 8 2013 Excited states in the large density limit: a variational approach. Zbl 1197.35264Coles, M. P.; Pelinovsky, D. E.; Kevrekidis, P. G. 8 2010 Orbital stability of periodic waves in the class of reduced Ostrovsky equations. Zbl 1355.35017Johnson, Edward R.; Pelinovsky, Dmitry E. 8 2016 Stability of multi-solitons in the cubic NLS equation. Zbl 1298.35190Contreras, Andres; Pelinovsky, Dmitry 8 2014 Dynamics of the parametrically driven NLS solitons beyond the onset of the oscillatory instability. Zbl 0916.35107Alexeeva, N. V.; Barashenkov, I. V.; Pelinovsky, D. E. 8 1999 Instability of \(H^1\)-stable peakons in the Camassa-Holm equation. Zbl 1439.35137Natali, Fábio; Pelinovsky, Dmitry E. 7 2020 Eigenfunctions and eigenvalues for a scalar Riemann-Hilbert problem associated to inverse scattering. Zbl 0964.37044Pelinovsky, Dmitry E.; Sulem, Catherine 7 2000 A spectral transform for the intermediate nonlinear Schrödinger equation. Zbl 0845.35119Pelinovsky, Dmitry E.; Grimshaw, Roger H. J. 7 1995 Incompressible viscous fluid flows in a thin spherical shell. Zbl 1162.76347Ibragimov, Ranis N.; Pelinovsky, Dmitry E. 7 2009 On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation. Zbl 1260.37047Mizumachi, Tetsu; Pelinovsky, Dmitry 7 2012 Periodic waves in the discrete mKdV equation: modulational instability and rogue waves. Zbl 07653449Chen, Jinbing; Pelinovsky, Dmitry E. 1 2023 Periodic waves in the fractional modified Korteweg-de Vries equation. Zbl 1487.76018Natali, Fábio; Le, Uyen; Pelinovsky, Dmitry E. 3 2022 Stability of smooth solitary waves in the \(b\)-Camassa-Holm equation. Zbl 1506.35036Lafortune, Stéphane; Pelinovsky, Dmitry E. 2 2022 Correction to: “Periodic waves in the fractional modified Korteweg-de Vries equation”. Zbl 1493.76016Natali, Fábio; Le, Uyen; Pelinovsky, Dmitry E. 1 2022 Spectral instability of peakons in the \(b\)-family of the Camassa-Holm equations. Zbl 1496.35057Lafortune, Stéphane; Pelinovsky, Dmitry E. 1 2022 Standing waves on quantum graphs. Zbl 1507.81100Kairzhan, Adilbek; Noja, Diego; Pelinovsky, Dmitry E. 1 2022 Periodic waves of the modified KdV equation as minimizers of a new variational problem. Zbl 1503.35200Le, Uyen; Pelinovsky, Dmitry E. 1 2022 Modulational instability of periodic standing waves in the derivative NLS equation. Zbl 1477.35235Chen, Jinbing; Pelinovsky, Dmitry E.; Upsal, Jeremy 7 2021 Edge-localized states on quantum graphs in the limit of large mass. Zbl 1477.35230Berkolaiko, Gregory; Marzuola, Jeremy L.; Pelinovsky, Dmitry E. 6 2021 Standing waves on a flower graph. Zbl 1454.35406Kairzhan, Adilbek; Marangell, Robert; Pelinovsky, Dmitry E.; Xiao, Ke Liang 4 2021 Growth of perturbations to the peaked periodic waves in the Camassa-Holm equation. Zbl 1467.35042Madiyeva, Aigerim; Pelinovsky, Dmitry E. 4 2021 Stability and interaction of compactons in the sublinear KdV equation. Zbl 1473.35489Pelinovsky, Dmitry E.; Slunyaev, Alexey V.; Kokorina, Anna V.; Pelinovsky, Efim N. 3 2021 \(W^{1,\infty}\) instability of \(H^1\)-stable peakons in the Novikov equation. Zbl 1471.35092Chen, Robin Ming; Pelinovsky, Dmitry E. 3 2021 Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential. Zbl 1470.35322Bizon, Piotr; Ficek, Filip; Pelinovsky, Dmitry E.; Sobieszek, Szymon 1 2021 Green’s function for the fractional KdV equation on the periodic domain via Mittag-Leffler function. Zbl 1498.35582Le, Uyen; Pelinovsky, Dmitry E. 1 2021 Solitary waves with intensity-dependent dispersion: variational characterization. Zbl 07654690Pelinovsky, D. E.; Ross, R. M.; Kevrekidis, P. G. 1 2021 Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability. Zbl 1490.35399Chen, Jinbing; Pelinovsky, Dmitry E.; White, Robert E. 17 2020 Standing waves of the quintic NLS equation on the tadpole graph. Zbl 1448.35474Noja, Diego; Pelinovsky, Dmitry E. 11 2020 Instability of \(H^1\)-stable peakons in the Camassa-Holm equation. Zbl 1439.35137Natali, Fábio; Pelinovsky, Dmitry E. 7 2020 Stationary states of the cubic conformal flow on \(\mathbb{S}^3\). Zbl 1441.37082Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry 5 2020 Localized structures on librational and rotational travelling waves in the sine-Gordon equation. Zbl 1472.35010Pelinovsky, Dmitry E.; White, Robert E. 4 2020 Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations. Zbl 1454.35024Geyer, Anna; Pelinovsky, Dmitry E. 3 2020 Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with \(\mathcal{PT}\)-symmetry. Zbl 1481.34026Dohnal, Tomáš; Pelinovsky, Dmitry 3 2020 The monoatomic FPU system as a limit of a diatomic FPU system. Zbl 1442.35456Pelinovsky, Dmitry E.; Schneider, Guido 3 2020 Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226Chen, Jinbing; Pelinovsky, Dmitry E. 23 2019 Standing lattice solitons in the discrete NLS equation with saturation. Zbl 1423.34019Alfimov, G. L.; Korobeinikov, A. S.; Lustri, C. J.; Pelinovsky, D. E. 10 2019 Convergence of Petviashvili’s method near periodic waves in the fractional Korteweg-de Vries equation. Zbl 1419.35178Le, Uyen; Pelinovsky, Dmitry E. 9 2019 Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H. 7 2019 Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation. Zbl 1412.35031Geyer, Anna; Pelinovsky, D. 7 2019 Inverse scattering for the massive Thirring model. Zbl 1442.35362Pelinovsky, Dmitry E.; Saalmann, Aaron 4 2019 Ground state of the conformal flow on \(\mathbb{S}^3\). Zbl 1417.58021Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry E. 4 2019 Darboux transformation and soliton solutions of the semi-discrete massive Thirring model. Zbl 1477.81062Xu, Tao; Pelinovsky, Dmitry E. 4 2019 Integrable semi-discretization of the massive Thirring system in laboratory coordinates. Zbl 1422.81145Joshi, Nalini; Pelinovsky, Dmitry E. 2 2019 Nonexistence of self-similar blowup for the nonlinear Dirac equations in \((1+1)\) dimensions. Zbl 1417.35154Huh, Hyungjin; Pelinovsky, Dmitry E. 1 2019 Rogue periodic waves of the modified KdV equation. Zbl 1393.35201Chen, Jinbing; Pelinovsky, Dmitry E. 31 2018 Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256Chen, Jinbing; Pelinovsky, Dmitry E. 31 2018 Nonlinear instability of half-solitons on star graphs. Zbl 1392.35289Kairzhan, Adilbek; Pelinovsky, Dmitry E. 14 2018 Spectral stability of shifted states on star graphs. Zbl 1397.35278Kairzhan, Adilbek; Pelinovsky, Dmitry E. 13 2018 Existence of global solutions to the derivative NLS equation with the inverse scattering transform method. Zbl 1410.35212Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 13 2018 Helical solitons in vector modified Korteweg-de Vries equations. Zbl 1404.35395Pelinovsky, Dmitry E.; Stepanyants, Yury A. 4 2018 Orbital stability of domain walls in coupled Gross-Pitaevskii systems. Zbl 1387.35430Contreras, Andres; Pelinovsky, Dmitry E.; Plum, Michael 1 2018 Normal form for transverse instability of the line soliton with a nearly critical speed of propagation. Zbl 1405.35187Pelinovsky, Dmitry 1 2018 Bifurcations of standing localized waves on periodic graphs. Zbl 1387.35556Pelinovsky, Dmitry; Schneider, Guido 28 2017 The derivative NLS equation: global existence with solitons. Zbl 1386.35311Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke 16 2017 Spectral stability of periodic waves in the generalized reduced Ostrovsky equation. Zbl 1373.35041Geyer, Anna; Pelinovsky, Dmitry E. 8 2017 Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates. Zbl 1382.35264García-Azpeitia, C.; Pelinovsky, D. E. 5 2017 Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators. Zbl 06751151Haragus, Mariana; Li, Jin; Pelinovsky, Dmitry E. 5 2017 Long-time stability of small FPU solitary waves. Zbl 1364.37153Khan, Amjad; Pelinovsky, Dmitry E. 4 2017 Global solutions to the shallow water system with a method of an additional argument. Zbl 1375.35354Alekseenko, Sergey N.; Dontsova, Marina V.; Pelinovsky, Dmitry E. 4 2017 Coupled pendula chains under parametric \(\mathcal{PT}\)-symmetric driving force. Zbl 1375.35482Destyl, E.; Nuiro, S. P.; Pelinovsky, D. E.; Poullet, P. 2 2017 On the linearized \(\log\)-KdV equation. Zbl 1367.35147Pelinovsky, Dmitry E. 2 2017 On the characterization of vortex configurations in the steady rotating Bose-Einstein condensates. Zbl 1404.82035Kevrekidis, P. G.; Pelinovsky, D. E. 1 2017 Ground state on the dumbbell graph. Zbl 1345.35105Marzuola, Jeremy L.; Pelinovsky, Dmitry E. 32 2016 Validity of the NLS approximation for periodic quantum graphs. Zbl 1367.35156Gilg, Steffen; Pelinovsky, Dmitry; Schneider, Guido 14 2016 \(L^{2}\) orbital stability of Dirac solitons in the massive Thirring model. Zbl 1342.35287Contreras, Andres; Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 12 2016 Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations. Zbl 1347.37123Pelinovsky, Dmitry; Penati, Tiziano; Paleari, Simone 9 2016 Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E. 8 2016 Orbital stability of periodic waves in the class of reduced Ostrovsky equations. Zbl 1355.35017Johnson, Edward R.; Pelinovsky, Dmitry E. 8 2016 Long-time stability of breathers in Hamiltonian \(\mathcal{P}\mathcal {T}\)-symmetric lattices. Zbl 1355.82021Chernyavsky, Alexander; Pelinovsky, Dmitry E. 5 2016 Transverse instability of line solitary waves in massive Dirac equations. Zbl 1334.35266Pelinovsky, Dmitry; Shimabukuro, Yusuke 4 2016 Self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption. Zbl 1361.35078Foster, Jamie M.; Pelinovsky, Dmitry E. 1 2016 Existence and stability of \(\mathcal{PT}\)-symmetric states in nonlinear two-dimensional square lattices. Zbl 1364.39005Xu, Haitao; Kevrekidis, P. G.; Pelinovsky, Dmitry E. 1 2016 Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph. Zbl 1328.35216Noja, Diego; Pelinovsky, Dmitry; Shaikhova, Gaukhar 39 2015 Domain walls in the coupled Gross-Pitaevskii equations. Zbl 1308.35261Alama, Stan; Bronsard, Lia; Contreras, Andres; Pelinovsky, Dmitry E. 17 2015 Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves. Zbl 1326.35340Gallay, Thierry; Pelinovsky, Dmitry 15 2015 Dimer with gain and loss: integrability and \(\mathcal{PT}\)-symmetry restoration. Zbl 1329.35275Barashenkov, I. V.; Pelinovsky, D. E.; Dubard, P. 9 2015 Global existence of solutions to coupled \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations. Zbl 1329.81206Pelinovsky, Dmitry E.; Zezyulin, Dmitry A.; Konotop, Vladimir V. 4 2015 Orbital stability in the cubic defocusing NLS equation. II: The black soliton. Zbl 1311.35282Gallay, Thierry; Pelinovsky, Dmitry 3 2015 Persistence of the Thomas-Fermi approximation for ground states of the Gross-Pitaevskii equation supported by the nonlinear confinement. Zbl 1315.35179Malomed, Boris A.; Pelinovsky, Dmitry E. 3 2015 On numerical modelling and the blow-up behavior of contact lines with a \(180°\) contact angle. Zbl 1360.74152Pelinovsky, Dmitry E.; Xu, Chengzhu 2 2015 The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 1457.35067Cuccagna, Scipio; Pelinovsky, Dmitry E. 22 2014 Gaussian solitary waves and compactons in Fermi-pasta-Ulam lattices with Hertzian potentials. Zbl 1371.37130James, Guillaume; Pelinovsky, Dmitry 19 2014 Global existence of small-norm solutions in the reduced Ostrovsky equation. Zbl 1277.35008Grimshaw, Roger; Pelinovsky, Dmitry 17 2014 Orbital stability of Dirac solitons. Zbl 1292.35256Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 16 2014 Justification of the log-KdV equation in granular chains: the case of precompression. Zbl 1317.34020Dumas, Eric; Pelinovsky, Dmitry 10 2014 Nonlinear modes in a generalized \(\mathcal{PT}\)-symmetric discrete nonlinear Schrödinger equation. Zbl 1297.35220Pelinovsky, D. E.; Zezyulin, D. A.; Konotop, V. V. 9 2014 Stability of multi-solitons in the cubic NLS equation. Zbl 1298.35190Contreras, Andres; Pelinovsky, Dmitry 8 2014 On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215Carles, Rémi; Pelinovsky, Dmitry 7 2014 Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation. Zbl 1301.35156Pelinovsky, D. E.; Rouvinskaya, E. A.; Kurkina, O. E.; Deconinck, B. 7 2014 Validity of the weakly nonlinear solution of the Cauchy problem for the Boussinesq-type equation. Zbl 1297.35187Khusnutdinova, K. R.; Moore, K. R.; Pelinovsky, D. E. 5 2014 Spectral stability of nonlinear waves in KdV-type evolution equations. Zbl 1456.37079Pelinovsky, Dmitry E. 4 2014 Justification of a nonlinear Schrödinger model for laser beams in photopolymers. Zbl 1296.35175Pelinovsky, Dmitry; Ponomarev, Dmitry 2 2014 On the Thomas-Fermi approximation of the ground state in a \(\mathcal{P}T\)-symmetric confining potential. Zbl 1311.35283Gallo, Clément; Pelinovsky, Dmitry 1 2014 Rigorous justification of the short-pulse equation. Zbl 1268.35089Pelinovsky, Dmitry; Schneider, Guido 13 2013 Periodic traveling waves in diatomic granular chains. Zbl 1405.34016Betti, Matthew; Pelinovsky, Dmitry E. 11 2013 Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry 11 2013 Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y. 8 2013 Bifurcations of asymmetric vortices in symmetric harmonic traps. Zbl 1270.35069Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G. 5 2013 On transverse stability of discrete line solitons. Zbl 1287.35083Pelinovsky, Dmitry E.; Yang, Jianke 3 2013 Multi-site breathers in Klein-Gordon lattices: stability, resonances and bifurcations. Zbl 1323.37044Pelinovsky, Dmitry; Sakovich, Anton 24 2012 Asymptotic stability of small gap solitons in nonlinear Dirac equations. Zbl 1279.35083Pelinovsky, Dmitry E.; Stefanov, Atanas 16 2012 Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation. Zbl 1251.35153Pelinovsky, D. E.; Phan, T. V. 13 2012 Sharp bounds on enstrophy growth in the viscous Burgers equation. Zbl 1371.35255Pelinovsky, Dmitry 12 2012 Bäcklund transformation and \(L^{2}\)-stability of NLS solitons. Zbl 1239.35148Mizumachi, Tetsu; Pelinovsky, Dmitry 11 2012 On the validity of the variational approximation in discrete nonlinear Schrödinger equations. Zbl 1252.35247Chong, Christopher; Pelinovsky, Dmitry E.; Schneider, Guido 8 2012 On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation. Zbl 1260.37047Mizumachi, Tetsu; Pelinovsky, Dmitry 7 2012 Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I. 5 2012 Enstrophy growth in the viscous Burgers equation. Zbl 1410.35180Pelinovsky, Dmitry 5 2012 Loops of energy bands for Bloch waves in optical lattices. Zbl 1251.35166Coles, Matt; Pelinovsky, Dmitry 1 2012 Localization in periodic potentials. From Schrödinger operators to the Gross-Pitaevskii equation. Zbl 1229.35003Pelinovsky, Dmitry E. 42 2011 ...and 104 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,417 Authors 118 Pelinovsky, Dmitry Efimovich 39 Kevrekidis, Panayotis G. 26 Cuccagna, Scipio 22 Yang, Jianke 21 Malomed, Boris A. 18 Grimshaw, Roger Hamilton James 17 Stefanov, Atanas G. 16 Coclite, Giuseppe Maria 15 Dohnal, Tomáš 15 He, Jingsong 15 Maeda, Masaya 14 Di Ruvo, Lorenzo 14 Dovetta, Simone 13 Kapitula, Todd M. 13 Vougalter, Vitali 12 Duan, Junsheng 12 Muñoz, Claudio 12 Wazwaz, Abdul-Majid Abdul-Rahman 11 Schneider, Guido 10 Adami, Riccardo 10 Cuevas Maraver, Jesús 10 Duran, Angel 10 Paleari, Simone 10 Penati, Tiziano 10 Rach, Randolph C. 10 Rao, Jiguang 10 Sourdis, Christos 10 Stanislavova, Milena 10 Volpert, Vitaly A. 9 Chen, Jinbing 9 Comech, Andrew 9 Dutykh, Denys 9 Geng, Xianguo 9 Lakoba, Taras I. 9 Marzuola, Jeremy Louis 8 Ibragimov, Ranis N. 8 Lustri, Christopher J. 8 Natali, Fábio M. Amorin 8 Sacchetti, Andrea 8 Sandstede, Björn 8 Susanto, Hadi 8 Talipova, Tatiana 7 Aftalion, Amandine 7 Alejo, Miguel A. 7 Cheng, Yi 7 Contreras, Andres A. 7 Deng, Dingwen 7 Frantzeskakis, Dimitri J. 7 Goodman, Roy H. 7 Hakkaev, Sevdzhan A. 7 Hupkes, Hermen Jan 7 Serra, Enrico 7 Stepanyants, Yury A. 7 Sulem, Catherine 7 Tentarelli, Lorenzo 6 Carretero-González, Ricardo 6 Deconinck, Bernard 6 Fan, Engui 6 Kairzhan, Adilbek 6 Karachalios, Nikos I. 6 Kopylova, Elena A. 6 Li, Ruomeng 6 Liu, Jiaqi 6 Mihalache, Dumitru 6 Noja, Diego 6 Xu, Tao 6 Xue, Bo 5 Ablowitz, Mark Jay 5 Alfimov, Georgiĭ Leonidovich 5 Angulo Pava, Jaime 5 Chugunova, Marina A. 5 Clamond, Didier 5 Feng, Baofeng 5 Fokas, Athanassios S. 5 García-Azpeitia, Carlos 5 Guo, Yujin 5 Haragus, Mariana 5 Hennig, Dirk 5 Khusnutdinova, Karima Robertovna 5 Koukouloyannis, Vassilis 5 Kowalczyk, Michał 5 Kusdiantara, Rudy 5 Le, Uyen 5 Levandosky, Steven Paul 5 Martel, Yvan 5 Mitsotakis, Dimitrios E. 5 Nixon, Sean D. 5 Ohta, Masahito 5 Panayotaros, Panayotis 5 Parker, Ross 5 Pelinovsky, Efim 5 Perry, Peter A. 5 Poullet, Pascal 5 Protas, Bartosz 5 Simpson, Gideon 5 Tilli, Paolo 5 Wright, J. Douglas 5 Yin, Zhaoyang 5 Yoshimura, Kazuyuki 4 Belmonte-Beitia, Juan ...and 1,317 more Authors all top 5 Cited in 210 Serials 117 Physica D 57 Journal of Differential Equations 41 Journal of Mathematical Physics 33 Studies in Applied Mathematics 32 Journal of Nonlinear Science 31 Communications in Nonlinear Science and Numerical Simulation 30 Journal of Mathematical Analysis and Applications 29 Wave Motion 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Communications in Mathematical Physics 23 Discrete and Continuous Dynamical Systems 22 Nonlinearity 22 SIAM Journal on Mathematical Analysis 22 Chaos 19 Physics Letters. A 17 Applied Mathematics and Computation 14 Journal of Computational Physics 13 Theoretical and Mathematical Physics 13 Annales de l’Institut Henri Poincaré. 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Mathematical Models & Methods in Applied Sciences 2 Russian Journal of Mathematical Physics ...and 110 more Serials all top 5 Cited in 43 Fields 955 Partial differential equations (35-XX) 325 Dynamical systems and ergodic theory (37-XX) 147 Numerical analysis (65-XX) 137 Fluid mechanics (76-XX) 134 Quantum theory (81-XX) 121 Ordinary differential equations (34-XX) 83 Optics, electromagnetic theory (78-XX) 80 Statistical mechanics, structure of matter (82-XX) 58 Difference and functional equations (39-XX) 53 Operator theory (47-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 33 Mechanics of deformable solids (74-XX) 32 Mechanics of particles and systems (70-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 Special functions (33-XX) 15 Integral equations (45-XX) 14 Approximations and expansions (41-XX) 13 Real functions (26-XX) 13 Geophysics (86-XX) 10 Biology and other natural sciences (92-XX) 8 Differential geometry (53-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Probability theory and stochastic processes (60-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-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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