Edit Profile (opens in new tab) Pelinovsky, Dmitry Efimovich Co-Author Distance 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: 259 Publications since 1994, including 3 Books and 28 Additional arXiv Preprints 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 119 Reviews Co-Authors: 162 Co-Authors with 242 Joint Publications 4,471 Co-Co-Authors all top 5 Co-Authors 21 single-authored 22 Kevrekidis, Panayotis G. 15 Schneider, Guido 12 Grimshaw, Roger Hamilton James 11 Chen, Jinbing 8 Yang, Jianke 7 Chugunova, Marina A. 7 Le, Uyen 6 Geyer, Anna 6 Kairzhan, Adilbek 5 Barashenkov, Igor V. 5 Contreras, Andres A. 5 Cuccagna, Scipio 5 Natali, Fábio M. Amorin 5 Sakovich, Anton 5 Shimabukuro, Yusuke 5 Sulem, Catherine 4 Chernyavskiĭ, Aleksandr Grigor’evich 4 Dohnal, Tomáš 4 Khusnutdinova, Karima Robertovna 4 Pelinovsky, Efim 4 Rothos, Vassilis M. 4 Stefanov, Atanas G. 4 White, Robert E. 3 Bizoń, Piotr 3 Frantzeskakis, Dimitri J. 3 Gallo, Clément 3 Ibragimov, Ranis N. 3 James, Guillaume 3 Kivshar, Yuri S. 3 Liu, Yue 3 Marzuola, Jeremy Louis 3 Mucalica, Ana 3 Noja, Diego 3 Plum, Michael 3 Sobieszek, Szymon 3 Stepanyants, Yury A. 2 Alexeeva, Nora V. 2 Champneys, Alan R. 2 Chong, Christopher 2 Coles, Matt 2 Comech, Andrew 2 de Rijk, Björn 2 Deconinck, Bernard 2 Fokas, Athanassios S. 2 Foster, Jamie M. 2 Gallay, Thierry 2 Giniyatullin, Ayrat R. 2 Gorshkov, Konstantin A. 2 Grasselli, Matheus R. 2 Haragus, Mariana 2 Huh, Hyungjin 2 Hunik-Kostyra, Dominika 2 Kirillov, Oleg N. 2 Kirr, E. W. 2 Konotop, Vladimir V. 2 Lafortune, Stéphane 2 Melvin, Thomas R. O. 2 Mizumachi, Tetsu 2 Paleari, Simone 2 Penati, Tiziano 2 Poullet, Pascal 2 Ross, Ryan M. 2 Saalmann, Aaron 2 Slunyaev, Alexey V. 2 Talipova, Tatiana 2 Tyugin, Dmitry Y. 2 Vougalter, Vitali 2 Xu, Chengzhu 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 Bengel, Lukas 1 Berkolaiko, Gregory 1 Betti, Matthew I. 1 Bronsard, Lia 1 Bronsard, Sylvie A. 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. ...and 70 more Co-Authors all top 5 Serials 22 Physica D 15 Nonlinearity 11 Studies in Applied Mathematics 10 Journal of Mathematical Physics 10 Journal of Differential Equations 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 Proceedings of the American Mathematical Society 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 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 202 Partial differential equations (35-XX) 105 Dynamical systems and ergodic theory (37-XX) 32 Fluid mechanics (76-XX) 31 Quantum theory (81-XX) 26 Ordinary differential equations (34-XX) 21 Numerical analysis (65-XX) 18 Difference and functional equations (39-XX) 14 Optics, electromagnetic theory (78-XX) 14 Statistical mechanics, structure of matter (82-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 214 Publications have been cited 2,527 times in 1,413 Documents Cited by ▼ Year ▼ Convergence of Petviashvili’s iteration method for numerical approximation of stationary solutions of nonlinear wave equations. Zbl 1086.65098 Pelinovsky, Dmitry E.; Stepanyants, Yury A. 68 2004 Spectra of positive and negative energies in the linearized NLS problem. Zbl 1064.35181 Cuccagna, S.; Pelinovsky, D.; Vougalter, V. 62 2005 Localization in periodic potentials. From Schrödinger operators to the Gross-Pitaevskii equation. Zbl 1229.35003 Pelinovsky, Dmitry E. 61 2011 Wave breaking in the short-pulse equation. Zbl 1190.35061 Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 49 2009 Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256 Chen, Jinbing; Pelinovsky, Dmitry E. 48 2018 Stability of discrete solitons in nonlinear Schrödinger lattices. Zbl 1088.39004 Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J. 47 2005 Global well-posedness of the short-pulse and sine-Gordon equations in energy space. Zbl 1204.35010 Pelinovsky, Dmitry; Sakovich, Anton 47 2010 Rogue periodic waves of the modified KdV equation. Zbl 1393.35201 Chen, Jinbing; Pelinovsky, Dmitry E. 47 2018 Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph. Zbl 1328.35216 Noja, Diego; Pelinovsky, Dmitry; Shaikhova, Gaukhar 44 2015 Interaction of lumps with a line soliton for the DSII equation. Zbl 0977.35132 Fokas, A. S.; Pelinovsky, D. E.; Sulem, C. 43 2001 Purely nonlinear instability of standing waves with minimal energy. Zbl 1072.35165 Comech, Andrew; Pelinovsky, Dmitry 42 2003 Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials. Zbl 1235.34128 Kirr, E.; Kevrekidis, P. G.; Pelinovsky, D. E. 36 2011 Ground state on the dumbbell graph. Zbl 1345.35105 Marzuola, Jeremy L.; Pelinovsky, Dmitry E. 36 2016 Inertia law for spectral stability of solitary waves in coupled nonlinear Schrödinger equations. Zbl 1145.37333 Pelinovsky, Dmitry E. 35 2005 Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143 Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton 35 2010 On the exchange of energy in coupled Klein — Gordon equations. Zbl 1163.74380 Khusnutdinova, K. R.; Pelinovsky, D. E. 33 2003 Bifurcations of standing localized waves on periodic graphs. Zbl 1387.35556 Pelinovsky, Dmitry; Schneider, Guido 33 2017 Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226 Chen, Jinbing; Pelinovsky, Dmitry E. 33 2019 Convergence of the Adomian decomposition method for initial-value problems. Zbl 1250.65089 Abdelrazec, Ahmed; Pelinovsky, Dmitry 32 2011 Generation of large-amplitude solitons in the extended Korteweg-de Vries equation. Zbl 1080.35532 Grimshaw, Roger; Pelinovsky, Dmitry; Pelinovsky, Efim; Slunyaev, Alexey 28 2002 The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 1457.35067 Cuccagna, Scipio; Pelinovsky, Dmitry E. 27 2014 Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability. Zbl 1490.35399 Chen, Jinbing; Pelinovsky, Dmitry E.; White, Robert E. 26 2020 Persistence and stability of discrete vortices in nonlinear Schrödinger lattices. Zbl 1088.39005 Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J. 25 2005 Multi-site breathers in Klein-Gordon lattices: stability, resonances and bifurcations. Zbl 1323.37044 Pelinovsky, Dmitry; Sakovich, Anton 25 2012 Structural transformation of eigenvalues for a perturbed algebraic soliton potential. Zbl 1043.35522 Pelinovsky, Dmitry E.; Grimshaw, Roger H. J. 24 1997 Rational solutions of the Kadomtsev-Petviashvili hierarchy and the dynamics of their poles. I: New form of a general rational solution. Zbl 0817.35097 Pelinovsky, Dmitry 24 1994 Gaussian solitary waves and compactons in Fermi-pasta-Ulam lattices with Hertzian potentials. Zbl 1371.37130 James, Guillaume; Pelinovsky, Dmitry 23 2014 Count of eigenvalues in the generalized eigenvalue problem. Zbl 1310.35212 Chugunova, Marina; Pelinovsky, Dmitry 23 2010 Survey on global existence in the nonlinear Dirac equations in one spatial dimension. Zbl 1236.35136 Pelinovsky, Dmitry 22 2011 The structure of the rational solutions to the Boussinesq equation. Zbl 0900.35341 Galkin, V. M.; Pelinovsky, D. E.; Stepanyants, Yu. A. 22 1995 On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension. Zbl 1159.81336 Pelinovsky, D. E.; Stefanov, A. 22 2008 Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential. Zbl 1186.35207 Pelinovsky, Dmitry; Schneider, Guido 21 2010 The derivative NLS equation: global existence with solitons. Zbl 1386.35311 Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke 20 2017 Existence of global solutions to the derivative NLS equation with the inverse scattering transform method. Zbl 1410.35212 Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 20 2018 Internal modes of envelope solitons. Zbl 0934.35175 Pelinovsky, Dmitry E.; Kivshar, Yuri S.; Afanasjev, Vsevolod V. 19 1998 Wave group dynamics in weakly nonlinear long-wave models. Zbl 1006.76012 Grimshaw, Roger; Pelinovsky, Dmitry; Pelinovsky, Efim; Talipova, Tatiana 19 2001 Block-diagonalization of the symmetric first-order coupled-mode system. Zbl 1102.35062 Chugunova, Marina; Pelinovsky, Dmitry 19 2006 Domain walls in the coupled Gross-Pitaevskii equations. Zbl 1308.35261 Alama, Stan; Bronsard, Lia; Contreras, Andres; Pelinovsky, Dmitry E. 19 2015 Standing waves of the quintic NLS equation on the tadpole graph. Zbl 1448.35474 Noja, Diego; Pelinovsky, Dmitry E. 19 2020 Asymptotic stability of small bound states in the discrete nonlinear Schrödinger equation. Zbl 1197.35270 Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A. 19 2009 Orbital stability of Dirac solitons. Zbl 1292.35256 Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 19 2014 Translationally invariant nonlinear Schrödinger lattices. Zbl 1111.39014 Pelinovsky, Dmitry E. 18 2006 Bifurcations of travelling wave solutions in the discrete NLS equations. Zbl 1086.34059 Pelinovsky, Dmitry E.; Rothos, Vassilis M. 18 2005 Global existence of small-norm solutions in the reduced Ostrovsky equation. Zbl 1277.35008 Grimshaw, Roger; Pelinovsky, Dmitry 18 2014 Asymptotic stability of small gap solitons in nonlinear Dirac equations. Zbl 1279.35083 Pelinovsky, Dmitry E.; Stefanov, Atanas 18 2012 Propagation failure in the discrete Nagumo equation. Zbl 1235.34034 Hupkes, H. J.; Pelinovsky, D.; Sandstede, B. 17 2011 Instabilities of multihump vector solitons in coupled nonlinear Schrödinger equations. Zbl 1145.35461 Pelinovsky, Dmitry E.; Yang, Jianke 17 2005 Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves. Zbl 1326.35340 Gallay, Thierry; Pelinovsky, Dmitry 17 2015 Validity of the NLS approximation for periodic quantum graphs. Zbl 1367.35156 Gilg, Steffen; Pelinovsky, Dmitry; Schneider, Guido 17 2016 Rational solutions of the KP hierarchy and the dynamics of their poles. II: Construction of the degenerate polynomial solutions. Zbl 0927.37048 Pelinovsky, Dmitry 16 1998 Nonlinear instability of half-solitons on star graphs. Zbl 1392.35289 Kairzhan, Adilbek; Pelinovsky, Dmitry E. 16 2018 Justification of the lattice equation for a nonlinear elliptic problem with a periodic potential. Zbl 1162.47059 Pelinovsky, Dmitry; Schneider, Guido; MacKay, Robert S. 16 2008 Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential. Zbl 1132.41344 Pelinovsky, Dmitry; Schneider, Guido 15 2007 Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential. Zbl 1177.35216 Dohnal, Tomáš; Pelinovsky, Dmitry; Schneider, Guido 15 2009 A normal form for nonlinear resonance of embedded solitons. Zbl 1056.35137 Pelinovsky, Dmitry E.; Yang, Jianke 15 2002 Standing lattice solitons in the discrete NLS equation with saturation. Zbl 1423.34019 Alfimov, G. L.; Korobeinikov, A. S.; Lustri, C. J.; Pelinovsky, D. E. 15 2019 Two-pulse solutions in the fifth-order KdV equation: rigorous theory and numerical approximations. Zbl 1132.35452 Chugunova, Marina; Pelinovsky, Dmitry 14 2007 Spectral stability of shifted states on star graphs. Zbl 1397.35278 Kairzhan, Adilbek; Pelinovsky, Dmitry E. 14 2018 Normal form for travelling kinks in discrete Klein-Gordon lattices. Zbl 1102.37045 Iooss, Gerard; Pelinovsky, Dmitry E. 14 2006 Spectral stability of nonlinear waves in KdV-type evolution equations. Zbl 1456.37079 Pelinovsky, Dmitry E. 14 2014 Instability of \(H^1\)-stable peakons in the Camassa-Holm equation. Zbl 1439.35137 Natali, Fábio; Pelinovsky, Dmitry E. 14 2020 Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation. Zbl 1251.35153 Pelinovsky, D. E.; Phan, T. V. 13 2012 Bäcklund transformation and \(L^{2}\)-stability of NLS solitons. Zbl 1239.35148 Mizumachi, Tetsu; Pelinovsky, Dmitry 13 2012 \(L^{2}\) orbital stability of Dirac solitons in the massive Thirring model. Zbl 1342.35287 Contreras, Andres; Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 13 2016 Rigorous justification of the short-pulse equation. Zbl 1268.35089 Pelinovsky, Dmitry; Schneider, Guido 13 2013 Transverse instabilities of deep-water solitary waves. Zbl 1149.76627 Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D. 12 2006 On the Thomas-Fermi ground state in a harmonic potential. Zbl 1225.35217 Gallo, Clément; Pelinovsky, Dmitry 12 2011 Sharp bounds on enstrophy growth in the viscous Burgers equation. Zbl 1371.35255 Pelinovsky, Dmitry 12 2012 Spectral stability of periodic waves in the generalized reduced Ostrovsky equation. Zbl 1373.35041 Geyer, Anna; Pelinovsky, Dmitry E. 12 2017 Justification of the log-KdV equation in granular chains: the case of precompression. Zbl 1317.34020 Dumas, Eric; Pelinovsky, Dmitry 12 2014 Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators. Zbl 06751151 Haragus, Mariana; Li, Jin; Pelinovsky, Dmitry E. 12 2017 Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation. Zbl 1412.35031 Geyer, Anna; Pelinovsky, D. 12 2019 Periodic traveling waves in diatomic granular chains. Zbl 1405.34016 Betti, Matthew; Pelinovsky, Dmitry E. 12 2013 Convergence of Petviashvili’s method near periodic waves in the fractional Korteweg-de Vries equation. Zbl 1419.35178 Le, Uyen; Pelinovsky, Dmitry E. 12 2019 Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation. Zbl 1234.37051 Pelinovsky, Dmitry; Sakovich, Anton 11 2011 Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrödinger lattices. Zbl 1213.35369 Chong, Christopher; Pelinovsky, Dmitry 11 2011 A spectral transform for the intermediate nonlinear Schrödinger equation. Zbl 0845.35119 Pelinovsky, Dmitry E.; Grimshaw, Roger H. J. 11 1995 Evans function for Lax operators with algebraically decaying potentials. Zbl 1117.35070 Klaus, Martin; Pelinovsky, Dmitry E.; Rothos, Vassilis M. 11 2006 Dimer with gain and loss: integrability and \(\mathcal{PT}\)-symmetry restoration. Zbl 1329.35275 Barashenkov, I. V.; Pelinovsky, D. E.; Dubard, P. 11 2015 Stability analysis of embedded solitons in the generalized third-order nonlinear Schrödinger equation. Zbl 1144.37398 Pelinovsky, Dmitry E.; Yang, Jianke 11 2005 Edge-localized states on quantum graphs in the limit of large mass. Zbl 1477.35230 Berkolaiko, Gregory; Marzuola, Jeremy L.; Pelinovsky, Dmitry E. 11 2021 Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017 Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry 11 2013 Modeling of wave resonances in low-contrast photonic crystals. Zbl 1074.78011 Agueev, Dmitri; Pelinovsky, Dmitry 10 2005 Stability of multi-solitons in the cubic NLS equation. Zbl 1298.35190 Contreras, Andres; Pelinovsky, Dmitry 10 2014 Global solutions to the shallow water system with a method of an additional argument. Zbl 1375.35354 Alekseenko, Sergey N.; Dontsova, Marina V.; Pelinovsky, Dmitry E. 10 2017 Orbital stability of periodic waves in the class of reduced Ostrovsky equations. Zbl 1355.35017 Johnson, Edward R.; Pelinovsky, Dmitry E. 10 2016 Localized structures on librational and rotational travelling waves in the sine-Gordon equation. Zbl 1472.35010 Pelinovsky, Dmitry E.; White, Robert E. 10 2020 Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401 Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H. 10 2019 Stationary states of the cubic conformal flow on \(\mathbb{S}^3\). Zbl 1441.37082 Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry 10 2020 Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402 Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y. 10 2013 Nonlinear modes in a generalized \(\mathcal{PT}\)-symmetric discrete nonlinear Schrödinger equation. Zbl 1297.35220 Pelinovsky, D. E.; Zezyulin, D. A.; Konotop, V. V. 10 2014 Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem. Zbl 1110.35082 Cuccagna, Scipio; Pelinovsky, Dmitry 9 2005 Spectral stability and time evolution of \(N\)-solitons in the KdV hierarchy. Zbl 1080.35120 Kodama, Yuji; Pelinovsky, Dmitry 9 2005 Parametric resonance of ground states in the nonlinear Schrödinger equation. Zbl 1081.35101 Cuccagna, S.; Kirr, E.; Pelinovsky, D. 9 2006 Travelling kinks in discrete \(\phi^4\) models. Zbl 1101.82008 Oxtoby, O. F.; Pelinovsky, D. E.; Barashenkov, I. V. 9 2006 An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations. Zbl 0885.35112 Pelinovsky, Dmitry E.; Grimshaw, Roger H. J. 9 1996 On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215 Carles, Rémi; Pelinovsky, Dmitry 9 2014 Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations. Zbl 1347.37123 Pelinovsky, Dmitry; Penati, Tiziano; Paleari, Simone 9 2016 Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014 Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E. 9 2016 Growth of perturbations to the peaked periodic waves in the Camassa-Holm equation. Zbl 1467.35042 Madiyeva, Aigerim; Pelinovsky, Dmitry E. 9 2021 KdV breathers on a cnoidal wave background. Zbl 1512.35515 Hoefer, Mark A.; Mucalica, Ana; Pelinovsky, Dmitry E. 3 2023 KP-II approximation for a scalar Fermi-Pasta-Ulam system on a 2D square lattice. Zbl 1517.37077 Pelinovsky, Dmitry; Schneider, Guido 2 2023 Periodic waves in the discrete mKdV equation: modulational instability and rogue waves. Zbl 1509.35090 Chen, Jinbing; Pelinovsky, Dmitry E. 1 2023 Standing waves on quantum graphs. Zbl 1507.81100 Kairzhan, Adilbek; Noja, Diego; Pelinovsky, Dmitry E. 7 2022 Periodic waves in the fractional modified Korteweg-de Vries equation. Zbl 1487.76018 Natali, Fábio; Le, Uyen; Pelinovsky, Dmitry E. 5 2022 Spectral instability of peakons in the \(b\)-family of the Camassa-Holm equations. Zbl 1496.35057 Lafortune, Stéphane; Pelinovsky, Dmitry E. 4 2022 Linear instability of breathers for the focusing nonlinear Schrödinger equation. Zbl 1492.35247 Haragus, Mariana; Pelinovsky, Dmitry E. 3 2022 Justification of the KP-II approximation in dynamics of two-dimensional FPU systems. Zbl 1498.35476 Hristov, Nikolay; Pelinovsky, Dmitry E. 3 2022 Stability of smooth solitary waves in the \(b\)-Camassa-Holm equation. Zbl 1506.35036 Lafortune, Stéphane; Pelinovsky, Dmitry E. 3 2022 Stability of smooth periodic travelling waves in the Camassa-Holm equation. Zbl 07776396 Geyer, Anna; Martins, Renan H.; Natali, Fábio; Pelinovsky, Dmitry E. 2 2022 Correction to: “Periodic waves in the fractional modified Korteweg-de Vries equation”. Zbl 1493.76016 Natali, Fábio; Le, Uyen; Pelinovsky, Dmitry E. 1 2022 Periodic waves of the modified KdV equation as minimizers of a new variational problem. Zbl 1503.35200 Le, Uyen; Pelinovsky, Dmitry E. 1 2022 Morse index for the ground state in the energy supercritical Gross-Pitaevskii equation. Zbl 1506.35086 Pelinovsky, Dmitry E.; Sobieszek, Szymon 1 2022 Edge-localized states on quantum graphs in the limit of large mass. Zbl 1477.35230 Berkolaiko, Gregory; Marzuola, Jeremy L.; Pelinovsky, Dmitry E. 11 2021 Growth of perturbations to the peaked periodic waves in the Camassa-Holm equation. Zbl 1467.35042 Madiyeva, Aigerim; Pelinovsky, Dmitry E. 9 2021 Modulational instability of periodic standing waves in the derivative NLS equation. Zbl 1477.35235 Chen, Jinbing; Pelinovsky, Dmitry E.; Upsal, Jeremy 9 2021 Standing waves on a flower graph. Zbl 1454.35406 Kairzhan, Adilbek; Marangell, Robert; Pelinovsky, Dmitry E.; Xiao, Ke Liang 8 2021 Stability and interaction of compactons in the sublinear KdV equation. Zbl 1473.35489 Pelinovsky, Dmitry E.; Slunyaev, Alexey V.; Kokorina, Anna V.; Pelinovsky, Efim N. 8 2021 \(W^{1,\infty}\) instability of \(H^1\)-stable peakons in the Novikov equation. Zbl 1471.35092 Chen, Robin Ming; Pelinovsky, Dmitry E. 8 2021 Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential. Zbl 1470.35322 Bizon, Piotr; Ficek, Filip; Pelinovsky, Dmitry E.; Sobieszek, Szymon 2 2021 Solitary waves with intensity-dependent dispersion: variational characterization. Zbl 1519.35057 Pelinovsky, D. E.; Ross, R. M.; Kevrekidis, P. G. 2 2021 Multi-pulse edge-localized states on quantum graphs. Zbl 1477.35242 Kairzhan, Adilbek; Pelinovsky, Dmitry E. 1 2021 Green’s function for the fractional KdV equation on the periodic domain via Mittag-Leffler function. Zbl 1498.35582 Le, Uyen; Pelinovsky, Dmitry E. 1 2021 Asymptotic stability of viscous shocks in the modular Burgers equation. Zbl 1475.35052 Le, Uyen; Pelinovsky, Dmitry E.; Poullet, Pascal 1 2021 Localization in optical systems with an intensity-dependent dispersion. Zbl 1479.35820 Ross, R. M.; Kevrekidis, P. G.; Pelinovsky, D. E. 1 2021 Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability. Zbl 1490.35399 Chen, Jinbing; Pelinovsky, Dmitry E.; White, Robert E. 26 2020 Standing waves of the quintic NLS equation on the tadpole graph. Zbl 1448.35474 Noja, Diego; Pelinovsky, Dmitry E. 19 2020 Instability of \(H^1\)-stable peakons in the Camassa-Holm equation. Zbl 1439.35137 Natali, Fábio; Pelinovsky, Dmitry E. 14 2020 Localized structures on librational and rotational travelling waves in the sine-Gordon equation. Zbl 1472.35010 Pelinovsky, Dmitry E.; White, Robert E. 10 2020 Stationary states of the cubic conformal flow on \(\mathbb{S}^3\). Zbl 1441.37082 Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry 10 2020 Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations. Zbl 1454.35024 Geyer, Anna; Pelinovsky, Dmitry E. 8 2020 Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with \(\mathcal{PT}\)-symmetry. Zbl 1481.34026 Dohnal, Tomáš; Pelinovsky, Dmitry 5 2020 The monoatomic FPU system as a limit of a diatomic FPU system. Zbl 1442.35456 Pelinovsky, Dmitry E.; Schneider, Guido 5 2020 Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226 Chen, Jinbing; Pelinovsky, Dmitry E. 33 2019 Standing lattice solitons in the discrete NLS equation with saturation. Zbl 1423.34019 Alfimov, G. L.; Korobeinikov, A. S.; Lustri, C. J.; Pelinovsky, D. E. 15 2019 Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation. Zbl 1412.35031 Geyer, Anna; Pelinovsky, D. 12 2019 Convergence of Petviashvili’s method near periodic waves in the fractional Korteweg-de Vries equation. Zbl 1419.35178 Le, Uyen; Pelinovsky, Dmitry E. 12 2019 Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401 Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H. 10 2019 Inverse scattering for the massive Thirring model. Zbl 1442.35362 Pelinovsky, Dmitry E.; Saalmann, Aaron 7 2019 Darboux transformation and soliton solutions of the semi-discrete massive Thirring model. Zbl 1477.81062 Xu, Tao; Pelinovsky, Dmitry E. 6 2019 Ground state of the conformal flow on \(\mathbb{S}^3\). Zbl 1417.58021 Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry E. 6 2019 Integrable semi-discretization of the massive Thirring system in laboratory coordinates. Zbl 1422.81145 Joshi, Nalini; Pelinovsky, Dmitry E. 3 2019 Nonexistence of self-similar blowup for the nonlinear Dirac equations in \((1+1)\) dimensions. Zbl 1417.35154 Huh, Hyungjin; Pelinovsky, Dmitry E. 2 2019 Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256 Chen, Jinbing; Pelinovsky, Dmitry E. 48 2018 Rogue periodic waves of the modified KdV equation. Zbl 1393.35201 Chen, Jinbing; Pelinovsky, Dmitry E. 47 2018 Existence of global solutions to the derivative NLS equation with the inverse scattering transform method. Zbl 1410.35212 Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 20 2018 Nonlinear instability of half-solitons on star graphs. Zbl 1392.35289 Kairzhan, Adilbek; Pelinovsky, Dmitry E. 16 2018 Spectral stability of shifted states on star graphs. Zbl 1397.35278 Kairzhan, Adilbek; Pelinovsky, Dmitry E. 14 2018 Helical solitons in vector modified Korteweg-de Vries equations. Zbl 1404.35395 Pelinovsky, Dmitry E.; Stepanyants, Yury A. 4 2018 Orbital stability of domain walls in coupled Gross-Pitaevskii systems. Zbl 1387.35430 Contreras, Andres; Pelinovsky, Dmitry E.; Plum, Michael 2 2018 Normal form for transverse instability of the line soliton with a nearly critical speed of propagation. Zbl 1405.35187 Pelinovsky, Dmitry 2 2018 Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption. Zbl 1402.35038 Foster, J. M.; Gysbers, P.; King, J. R.; Pelinovsky, D. E. 1 2018 Bifurcations of standing localized waves on periodic graphs. Zbl 1387.35556 Pelinovsky, Dmitry; Schneider, Guido 33 2017 The derivative NLS equation: global existence with solitons. Zbl 1386.35311 Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke 20 2017 Spectral stability of periodic waves in the generalized reduced Ostrovsky equation. Zbl 1373.35041 Geyer, Anna; Pelinovsky, Dmitry E. 12 2017 Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators. Zbl 06751151 Haragus, Mariana; Li, Jin; Pelinovsky, Dmitry E. 12 2017 Global solutions to the shallow water system with a method of an additional argument. Zbl 1375.35354 Alekseenko, Sergey N.; Dontsova, Marina V.; Pelinovsky, Dmitry E. 10 2017 Long-time stability of small FPU solitary waves. Zbl 1364.37153 Khan, Amjad; Pelinovsky, Dmitry E. 6 2017 Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates. Zbl 1382.35264 García-Azpeitia, C.; Pelinovsky, D. E. 5 2017 On the linearized \(\log\)-KdV equation. Zbl 1367.35147 Pelinovsky, Dmitry E. 3 2017 Coupled pendula chains under parametric \(\mathcal{PT}\)-symmetric driving force. Zbl 1375.35482 Destyl, E.; Nuiro, S. P.; Pelinovsky, D. E.; Poullet, P. 2 2017 On the characterization of vortex configurations in the steady rotating Bose-Einstein condensates. Zbl 1404.82035 Kevrekidis, P. G.; Pelinovsky, D. E. 2 2017 Ground state on the dumbbell graph. Zbl 1345.35105 Marzuola, Jeremy L.; Pelinovsky, Dmitry E. 36 2016 Validity of the NLS approximation for periodic quantum graphs. Zbl 1367.35156 Gilg, Steffen; Pelinovsky, Dmitry; Schneider, Guido 17 2016 \(L^{2}\) orbital stability of Dirac solitons in the massive Thirring model. Zbl 1342.35287 Contreras, Andres; Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 13 2016 Orbital stability of periodic waves in the class of reduced Ostrovsky equations. Zbl 1355.35017 Johnson, Edward R.; Pelinovsky, Dmitry E. 10 2016 Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations. Zbl 1347.37123 Pelinovsky, Dmitry; Penati, Tiziano; Paleari, Simone 9 2016 Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014 Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E. 9 2016 Long-time stability of breathers in Hamiltonian \(\mathcal{P}\mathcal {T}\)-symmetric lattices. Zbl 1355.82021 Chernyavsky, Alexander; Pelinovsky, Dmitry E. 6 2016 Transverse instability of line solitary waves in massive Dirac equations. Zbl 1334.35266 Pelinovsky, Dmitry; Shimabukuro, Yusuke 5 2016 Self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption. Zbl 1361.35078 Foster, Jamie M.; Pelinovsky, Dmitry E. 2 2016 Existence and stability of \(\mathcal{PT}\)-symmetric states in nonlinear two-dimensional square lattices. Zbl 1364.39005 Xu, 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 1328.35216 Noja, Diego; Pelinovsky, Dmitry; Shaikhova, Gaukhar 44 2015 Domain walls in the coupled Gross-Pitaevskii equations. Zbl 1308.35261 Alama, Stan; Bronsard, Lia; Contreras, Andres; Pelinovsky, Dmitry E. 19 2015 Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves. Zbl 1326.35340 Gallay, Thierry; Pelinovsky, Dmitry 17 2015 Dimer with gain and loss: integrability and \(\mathcal{PT}\)-symmetry restoration. Zbl 1329.35275 Barashenkov, I. V.; Pelinovsky, D. E.; Dubard, P. 11 2015 Global existence of solutions to coupled \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations. Zbl 1329.81206 Pelinovsky, Dmitry E.; Zezyulin, Dmitry A.; Konotop, Vladimir V. 6 2015 Orbital stability in the cubic defocusing NLS equation. II: The black soliton. Zbl 1311.35282 Gallay, Thierry; Pelinovsky, Dmitry 4 2015 Persistence of the Thomas-Fermi approximation for ground states of the Gross-Pitaevskii equation supported by the nonlinear confinement. Zbl 1315.35179 Malomed, Boris A.; Pelinovsky, Dmitry E. 4 2015 On numerical modelling and the blow-up behavior of contact lines with a \(180°\) contact angle. Zbl 1360.74152 Pelinovsky, Dmitry E.; Xu, Chengzhu 2 2015 The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 1457.35067 Cuccagna, Scipio; Pelinovsky, Dmitry E. 27 2014 Gaussian solitary waves and compactons in Fermi-pasta-Ulam lattices with Hertzian potentials. Zbl 1371.37130 James, Guillaume; Pelinovsky, Dmitry 23 2014 Orbital stability of Dirac solitons. Zbl 1292.35256 Pelinovsky, Dmitry E.; Shimabukuro, Yusuke 19 2014 Global existence of small-norm solutions in the reduced Ostrovsky equation. Zbl 1277.35008 Grimshaw, Roger; Pelinovsky, Dmitry 18 2014 Spectral stability of nonlinear waves in KdV-type evolution equations. Zbl 1456.37079 Pelinovsky, Dmitry E. 14 2014 Justification of the log-KdV equation in granular chains: the case of precompression. Zbl 1317.34020 Dumas, Eric; Pelinovsky, Dmitry 12 2014 Stability of multi-solitons in the cubic NLS equation. Zbl 1298.35190 Contreras, Andres; Pelinovsky, Dmitry 10 2014 Nonlinear modes in a generalized \(\mathcal{PT}\)-symmetric discrete nonlinear Schrödinger equation. Zbl 1297.35220 Pelinovsky, D. E.; Zezyulin, D. A.; Konotop, V. V. 10 2014 On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215 Carles, Rémi; Pelinovsky, Dmitry 9 2014 Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation. Zbl 1301.35156 Pelinovsky, D. E.; Rouvinskaya, E. A.; Kurkina, O. E.; Deconinck, B. 8 2014 Validity of the weakly nonlinear solution of the Cauchy problem for the Boussinesq-type equation. Zbl 1297.35187 Khusnutdinova, K. R.; Moore, K. R.; Pelinovsky, D. E. 6 2014 Justification of a nonlinear Schrödinger model for laser beams in photopolymers. Zbl 1296.35175 Pelinovsky, Dmitry; Ponomarev, Dmitry 3 2014 On the Thomas-Fermi approximation of the ground state in a \(\mathcal{P}T\)-symmetric confining potential. Zbl 1311.35283 Gallo, Clément; Pelinovsky, Dmitry 2 2014 Rigorous justification of the short-pulse equation. Zbl 1268.35089 Pelinovsky, Dmitry; Schneider, Guido 13 2013 Periodic traveling waves in diatomic granular chains. Zbl 1405.34016 Betti, Matthew; Pelinovsky, Dmitry E. 12 2013 Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017 Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry 11 2013 Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402 Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y. 10 2013 Bifurcations of asymmetric vortices in symmetric harmonic traps. Zbl 1270.35069 Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G. 5 2013 On transverse stability of discrete line solitons. Zbl 1287.35083 Pelinovsky, Dmitry E.; Yang, Jianke 4 2013 Multi-site breathers in Klein-Gordon lattices: stability, resonances and bifurcations. Zbl 1323.37044 Pelinovsky, Dmitry; Sakovich, Anton 25 2012 ...and 114 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,662 Authors 124 Pelinovsky, Dmitry Efimovich 49 Kevrekidis, Panayotis G. 26 Cuccagna, Scipio 24 Malomed, Boris A. 23 Stefanov, Atanas G. 22 Yang, Jianke 18 Grimshaw, Roger Hamilton James 18 He, Jingsong 17 Coclite, Giuseppe Maria 17 Dovetta, Simone 17 Maeda, Masaya 16 Pelinovsky, Efim 16 Vougalter, Vitali 15 Di Ruvo, Lorenzo 15 Dohnal, Tomáš 15 Kapitula, Todd M. 14 Schneider, Guido 13 Geng, Xianguo 13 Muñoz, Claudio 13 Susanto, Hadi 12 Cuevas Maraver, Jesús 12 Duan, Junsheng 12 Duran, Angel 11 Sacchetti, Andrea 10 Adami, Riccardo 10 Feng, Baofeng 10 Li, Ruomeng 10 Mihalache, Dumitru 10 Natali, Fábio M. Amorin 10 Paleari, Simone 10 Penati, Tiziano 10 Rach, Randolph C. 10 Rao, Jiguang 10 Sourdis, Christos 10 Stanislavova, Milena 10 Volpert, Vitaly A. 10 Wazwaz, Abdul-Majid Abdul-Rahman 9 Chen, Jinbing 9 Comech, Andrew 9 Dutykh, Denys 9 Hupkes, Hermen Jan 9 Lakoba, Taras I. 9 Marzuola, Jeremy Louis 9 Noja, Diego 9 Reichel, Wolfgang 9 Serra, Enrico 8 Alejo, Miguel A. 8 Deconinck, Bernard 8 Deng, Dingwen 8 Fan, Engui 8 Goodman, Roy H. 8 Ibragimov, Ranis N. 8 Kairzhan, Adilbek 8 Karachalios, Nikos I. 8 Lustri, Christopher J. 8 Parker, Ross 8 Sandstede, Björn 8 Stepanyants, Yury A. 8 Sulem, Catherine 7 Aftalion, Amandine 7 Alfimov, Georgiĭ Leonidovich 7 Carretero-González, Ricardo 7 Cheng, Yi 7 Contreras, Andres A. 7 Evnin, Oleg 7 Frantzeskakis, Dimitri J. 7 Hakkaev, Sevdzhan A. 7 Hennig, Dirk 7 Ling, Liming 7 Liu, Jiaqi 7 Panayotaros, Panayotis 7 Simpson, Gideon 7 Talipova, Tatiana 7 Tentarelli, Lorenzo 7 Tilli, Paolo 7 Xu, Tao 7 Zhang, Haiqiang 6 Ablowitz, Mark Jay 6 Barashenkov, Igor V. 6 Bizoń, Piotr 6 Cacciapuoti, Claudio 6 Carlone, Raffaele 6 Fokas, Athanassios S. 6 Haragus, Mariana 6 Kopylova, Elena A. 6 Plum, Michael 6 Tian, Bo 6 Tian, Shoufu 6 Xue, Bo 6 Zezyulin, Dmitry A. 5 Alexeeva, Nora V. 5 Angulo Pava, Jaime 5 Belmonte-Beitia, Juan 5 Borisov, Denis Ivanovich 5 Borluk, Handan 5 Boussaid, Nabile 5 Champneys, Alan R. 5 Chugunova, Marina A. 5 Clamond, Didier 5 Dontsova, Marina Vladimirovna ...and 1,562 more Authors all top 5 Cited in 234 Serials 127 Physica D 64 Journal of Differential Equations 58 Studies in Applied Mathematics 43 Journal of Mathematical Physics 41 Nonlinearity 37 Communications in Nonlinear Science and Numerical Simulation 36 Journal of Nonlinear Science 35 Journal of Mathematical Analysis and Applications 30 Wave Motion 28 Communications in Mathematical Physics 28 Discrete and Continuous Dynamical Systems 28 Journal of Physics A: Mathematical and Theoretical 27 Nonlinear Analysis. 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EDP et Applications 2 Computer Physics Communications ...and 134 more Serials all top 5 Cited in 46 Fields 1,155 Partial differential equations (35-XX) 408 Dynamical systems and ergodic theory (37-XX) 165 Numerical analysis (65-XX) 158 Fluid mechanics (76-XX) 158 Quantum theory (81-XX) 142 Ordinary differential equations (34-XX) 102 Optics, electromagnetic theory (78-XX) 94 Statistical mechanics, structure of matter (82-XX) 64 Difference and functional equations (39-XX) 62 Operator theory (47-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 36 Mechanics of particles and systems (70-XX) 31 Mechanics of deformable solids (74-XX) 21 Special functions (33-XX) 21 Global analysis, analysis on manifolds (58-XX) 17 Real functions (26-XX) 17 Approximations and expansions (41-XX) 17 Integral equations (45-XX) 13 Geophysics (86-XX) 10 Biology and other natural sciences (92-XX) 9 Differential geometry (53-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 7 Combinatorics (05-XX) 7 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Probability theory and stochastic processes (60-XX) 6 Relativity and gravitational theory (83-XX) 6 Systems theory; control (93-XX) 5 Algebraic geometry (14-XX) 4 Integral transforms, operational calculus (44-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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