## Pelinovsky, Dmitry Efimovich

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 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: 219 Publications since 1994, including 3 Books 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 119 Reviews Co-Authors: 145 Co-Authors with 202 Joint Publications 3,316 Co-Co-Authors
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### Co-Authors

 19 single-authored 19 Kevrekidis, Panayotis G. 12 Grimshaw, Roger Hamilton James 12 Schneider, Guido 8 Yang, Jianke 6 Chugunova, Marina A. 5 Chen, Jinbing 5 Contreras, Andres A. 5 Cuccagna, Scipio 5 Kairzhan, Adilbek 5 Le, Uyen 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 L. 3 Natali, Fábio M. Amorin 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 Liu, Yue 2 Melvin, Thomas R. O. 2 Mizumachi, Tetsu 2 Noja, Diego 2 Paleari, Simone 2 Penati, Tiziano 2 Poullet, Pascal 2 Saalmann, Aaron 2 Slunyaev, Alexey V. 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 Hupkes, Hermen Jan 1 Hussain, Swaleh 1 Iooss, Gérard 1 Johnson, Robin Stanley 1 Joshi, Nalini 1 Kalisch, Henrik 1 Khan, Amjad Rehman 1 King, John Robert 1 Kirillov, Oleg N. 1 Klaus, Martin ...and 54 more Co-Authors
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### Serials

 20 Physica D 14 Nonlinearity 10 Journal of Mathematical Physics 10 Studies in Applied Mathematics 9 Journal of Differential Equations 9 SIAM Journal on Mathematical Analysis 8 Journal of Nonlinear Science 7 SIAM Journal on Applied Dynamical Systems 7 Journal of Physics A: Mathematical and Theoretical 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 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 Applied Mathematics Letters 3 SIAM Journal on Applied Mathematics 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 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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
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### Fields

 189 Partial differential equations (35-XX) 100 Dynamical systems and ergodic theory (37-XX) 31 Fluid mechanics (76-XX) 30 Quantum theory (81-XX) 26 Ordinary differential equations (34-XX) 19 Numerical analysis (65-XX) 17 Difference and functional equations (39-XX) 14 Optics, electromagnetic theory (78-XX) 12 Statistical mechanics, structure of matter (82-XX) 7 General and overarching topics; collections (00-XX) 7 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

195 Publications have been cited 1,893 times in 1,093 Documents Cited by Year
Spectra of positive and negative energies in the linearized NLS problem. Zbl 1064.35181
Cuccagna, S.; Pelinovsky, D.; Vougalter, V.
2005
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.
2004
Wave breaking in the short-pulse equation. Zbl 1190.35061
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2009
Localization in periodic potentials. From Schrödinger operators to the Gross-Pitaevskii equation. Zbl 1229.35003
Pelinovsky, Dmitry E.
2011
Global well-posedness of the short-pulse and sine-Gordon equations in energy space. Zbl 1204.35010
Pelinovsky, Dmitry; Sakovich, Anton
2010
Purely nonlinear instability of standing waves with minimal energy. Zbl 1072.35165
Comech, Andrew; Pelinovsky, Dmitry
2003
Stability of discrete solitons in nonlinear Schrödinger lattices. Zbl 1088.39004
Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J.
2005
Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph. Zbl 1328.35216
Noja, Diego; Pelinovsky, Dmitry; Shaikhova, Gaukhar
2015
Interaction of lumps with a line soliton for the DSII equation. Zbl 0977.35132
Fokas, A. S.; Pelinovsky, D. E.; Sulem, C.
2001
Ground state on the dumbbell graph. Zbl 1345.35105
Marzuola, Jeremy L.; Pelinovsky, Dmitry E.
2016
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials. Zbl 1235.34128
Kirr, E.; Kevrekidis, P. G.; Pelinovsky, D. E.
2011
Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2010
Convergence of the Adomian decomposition method for initial-value problems. Zbl 1250.65089
Abdelrazec, Ahmed; Pelinovsky, Dmitry
2011
Inertia law for spectral stability of solitary waves in coupled nonlinear Schrödinger equations. Zbl 1145.37333
Pelinovsky, Dmitry E.
2005
Bifurcations of standing localized waves on periodic graphs. Zbl 1387.35556
Pelinovsky, Dmitry; Schneider, Guido
2017
Rogue periodic waves of the modified KdV equation. Zbl 1393.35201
Chen, Jinbing; Pelinovsky, Dmitry E.
2018
On the exchange of energy in coupled Klein — Gordon equations. Zbl 1163.74380
Khusnutdinova, K. R.; Pelinovsky, D. E.
2003
Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256
Chen, Jinbing; Pelinovsky, Dmitry E.
2018
Generation of large-amplitude solitons in the extended Korteweg-de Vries equation. Zbl 1080.35532
Grimshaw, Roger; Pelinovsky, Dmitry; Pelinovsky, Efim; Slunyaev, Alexey
2002
Multi-site breathers in Klein-Gordon lattices: stability, resonances and bifurcations. Zbl 1323.37044
Pelinovsky, Dmitry; Sakovich, Anton
2012
Survey on global existence in the nonlinear Dirac equations in one spatial dimension. Zbl 1236.35136
Pelinovsky, Dmitry
2011
Structural transformation of eigenvalues for a perturbed algebraic soliton potential. Zbl 1043.35522
Pelinovsky, Dmitry E.; Grimshaw, Roger H. J.
1997
Count of eigenvalues in the generalized eigenvalue problem. Zbl 1310.35212
Chugunova, Marina; Pelinovsky, Dmitry
2010
Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential. Zbl 1186.35207
Pelinovsky, Dmitry; Schneider, Guido
2010
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension. Zbl 1159.81336
Pelinovsky, D. E.; Stefanov, A.
2008
The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 1457.35067
Cuccagna, Scipio; Pelinovsky, Dmitry E.
2014
Persistence and stability of discrete vortices in nonlinear Schrödinger lattices. Zbl 1088.39005
Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J.
2005
Gaussian solitary waves and compactons in Fermi-pasta-Ulam lattices with Hertzian potentials. Zbl 1371.37130
James, Guillaume; Pelinovsky, Dmitry
2014
Block-diagonalization of the symmetric first-order coupled-mode system. Zbl 1102.35062
Chugunova, Marina; Pelinovsky, Dmitry
2006
Wave group dynamics in weakly nonlinear long-wave models. Zbl 1006.76012
Grimshaw, Roger; Pelinovsky, Dmitry; Pelinovsky, Efim; Talipova, Tatiana
2001
Global existence of small-norm solutions in the reduced Ostrovsky equation. Zbl 1277.35008
Grimshaw, Roger; Pelinovsky, Dmitry
2014
Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226
Chen, Jinbing; Pelinovsky, Dmitry E.
2019
The structure of the rational solutions to the Boussinesq equation. Zbl 0900.35341
Galkin, V. M.; Pelinovsky, D. E.; Stepanyants, Yu. A.
1995
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
1994
Bifurcations of travelling wave solutions in the discrete NLS equations. Zbl 1086.34059
Pelinovsky, Dmitry E.; Rothos, Vassilis M.
2005
Asymptotic stability of small bound states in the discrete nonlinear Schrödinger equation. Zbl 1197.35270
Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A.
2009
Domain walls in the coupled Gross-Pitaevskii equations. Zbl 1308.35261
Alama, Stan; Bronsard, Lia; Contreras, Andres; Pelinovsky, Dmitry E.
2015
Asymptotic stability of small gap solitons in nonlinear Dirac equations. Zbl 1279.35083
Pelinovsky, Dmitry E.; Stefanov, Atanas
2012
Internal modes of envelope solitons. Zbl 0934.35175
Pelinovsky, Dmitry E.; Kivshar, Yuri S.; Afanasjev, Vsevolod V.
1998
A normal form for nonlinear resonance of embedded solitons. Zbl 1056.35137
Pelinovsky, Dmitry E.; Yang, Jianke
2002
Justification of the lattice equation for a nonlinear elliptic problem with a periodic potential. Zbl 1162.47059
Pelinovsky, Dmitry; Schneider, Guido; MacKay, Robert S.
2008
Orbital stability of Dirac solitons. Zbl 1292.35256
Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2014
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
2009
Translationally invariant nonlinear Schrödinger lattices. Zbl 1111.39014
Pelinovsky, Dmitry E.
2006
Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential. Zbl 1132.41344
Pelinovsky, Dmitry; Schneider, Guido
2007
The derivative NLS equation: global existence with solitons. Zbl 1386.35311
Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke
2017
Nonlinear instability of half-solitons on star graphs. Zbl 1392.35289
Kairzhan, Adilbek; Pelinovsky, Dmitry E.
2018
Validity of the NLS approximation for periodic quantum graphs. Zbl 1367.35156
Gilg, Steffen; Pelinovsky, Dmitry; Schneider, Guido
2016
Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation. Zbl 1251.35153
Pelinovsky, D. E.; Phan, T. V.
2012
Propagation failure in the discrete Nagumo equation. Zbl 1235.34034
Hupkes, H. J.; Pelinovsky, D.; Sandstede, B.
2011
Instabilities of multihump vector solitons in coupled nonlinear Schrödinger equations. Zbl 1145.35461
Pelinovsky, Dmitry E.; Yang, Jianke
2005
On the Thomas-Fermi ground state in a harmonic potential. Zbl 1225.35217
Gallo, Clément; Pelinovsky, Dmitry
2011
Rigorous justification of the short-pulse equation. Zbl 1268.35089
Pelinovsky, Dmitry; Schneider, Guido
2013
$$L^{2}$$ orbital stability of Dirac solitons in the massive Thirring model. Zbl 1342.35287
Contreras, Andres; Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2016
Two-pulse solutions in the fifth-order KdV equation: rigorous theory and numerical approximations. Zbl 1132.35452
Chugunova, Marina; Pelinovsky, Dmitry
2007
Normal form for travelling kinks in discrete Klein-Gordon lattices. Zbl 1102.37045
Iooss, Gerard; Pelinovsky, Dmitry E.
2006
Rational solutions of the KP hierarchy and the dynamics of their poles. II: Construction of the degenerate polynomial solutions. Zbl 0927.37048
Pelinovsky, Dmitry
1998
Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves. Zbl 1326.35340
Gallay, Thierry; Pelinovsky, Dmitry
2015
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
2006
Spectral stability of shifted states on star graphs. Zbl 1397.35278
Kairzhan, Adilbek; Pelinovsky, Dmitry E.
2018
Existence of global solutions to the derivative NLS equation with the inverse scattering transform method. Zbl 1410.35212
Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2018
Standing waves of the quintic NLS equation on the tadpole graph. Zbl 1448.35474
Noja, Diego; Pelinovsky, Dmitry E.
2020
Modeling of wave resonances in low-contrast photonic crystals. Zbl 1074.78011
Agueev, Dmitri; Pelinovsky, Dmitry
2005
Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrödinger lattices. Zbl 1213.35369
Chong, Christopher; Pelinovsky, Dmitry
2011
Sharp bounds on enstrophy growth in the viscous Burgers equation. Zbl 1371.35255
Pelinovsky, Dmitry
2012
Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry
2013
Evans function for Lax operators with algebraically decaying potentials. Zbl 1117.35070
Klaus, Martin; Pelinovsky, Dmitry E.; Rothos, Vassilis M.
2006
Bäcklund transformation and $$L^{2}$$-stability of NLS solitons. Zbl 1239.35148
Mizumachi, Tetsu; Pelinovsky, Dmitry
2012
Periodic traveling waves in diatomic granular chains. Zbl 1405.34016
Betti, Matthew; Pelinovsky, Dmitry E.
2013
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.
1996
Parametric resonance of ground states in the nonlinear Schrödinger equation. Zbl 1081.35101
Cuccagna, S.; Kirr, E.; Pelinovsky, D.
2006
Dimer with gain and loss: integrability and $$\mathcal{PT}$$-symmetry restoration. Zbl 1329.35275
Barashenkov, I. V.; Pelinovsky, D. E.; Dubard, P.
2015
Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations. Zbl 1347.37123
Pelinovsky, Dmitry; Penati, Tiziano; Paleari, Simone
2016
Justification of the log-KdV equation in granular chains: the case of precompression. Zbl 1317.34020
Dumas, Eric; Pelinovsky, Dmitry
2014
Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem. Zbl 1110.35082
Cuccagna, Scipio; Pelinovsky, Dmitry
2005
Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation. Zbl 1234.37051
Pelinovsky, Dmitry; Sakovich, Anton
2011
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.
2020
Stability analysis of embedded solitons in the generalized third-order nonlinear Schrödinger equation. Zbl 1144.37398
Pelinovsky, Dmitry E.; Yang, Jianke
2005
Dynamics of the parametrically driven NLS solitons beyond the onset of the oscillatory instability. Zbl 0916.35107
Alexeeva, N. V.; Barashenkov, I. V.; Pelinovsky, D. E.
1999
Spectrum of a non-self-adjoint operator associated with the periodic heat equation. Zbl 1167.35025
Chugunova, Marina; Pelinovsky, Dmitry
2008
Stability of multi-solitons in the cubic NLS equation. Zbl 1298.35190
Contreras, Andres; Pelinovsky, Dmitry
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.
2014
Travelling kinks in discrete $$\phi^4$$ models. Zbl 1101.82008
Oxtoby, O. F.; Pelinovsky, D. E.; Barashenkov, I. V.
2006
On the validity of the variational approximation in discrete nonlinear Schrödinger equations. Zbl 1252.35247
Chong, Christopher; Pelinovsky, Dmitry E.; Schneider, Guido
2012
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.
2019
Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401
Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H.
2019
Eigenfunctions and eigenvalues for a scalar Riemann-Hilbert problem associated to inverse scattering. Zbl 0964.37044
Pelinovsky, Dmitry E.; Sulem, Catherine
2000
Semi-stability of embedded solitons in the general fifth-order KdV equation. Zbl 1163.74446
Tan, Yu; Yang, Jianke; Pelinovsky, Dmitry E.
2002
Spectral stability and time evolution of $$N$$-solitons in the KdV hierarchy. Zbl 1080.35120
Kodama, Yuji; Pelinovsky, Dmitry
2005
Variational approximations of trapped vortices in the large-density limit. Zbl 1216.35145
Pelinovsky, D. E.; Kevrekidis, P. G.
2011
On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation. Zbl 1260.37047
Mizumachi, Tetsu; Pelinovsky, Dmitry
2012
Orbital stability of periodic waves in the class of reduced Ostrovsky equations. Zbl 1355.35017
Johnson, Edward R.; Pelinovsky, Dmitry E.
2016
Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014
Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.
2016
Incompressible viscous fluid flows in a thin spherical shell. Zbl 1162.76347
Ibragimov, Ranis N.; Pelinovsky, Dmitry E.
2009
Spectral stability of periodic waves in the generalized reduced Ostrovsky equation. Zbl 1373.35041
Geyer, Anna; Pelinovsky, Dmitry E.
2017
On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215
Carles, Rémi; Pelinovsky, Dmitry
2014
Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y.
2013
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.
2014
Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation. Zbl 1412.35031
Geyer, Anna; Pelinovsky, D.
2019
Dark solitons in external potentials. Zbl 1157.35089
Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G.
2008
Modulational instability of periodic standing waves in the derivative NLS equation. Zbl 1477.35235
Chen, Jinbing; Pelinovsky, Dmitry E.; Upsal, Jeremy
2021
Edge-localized states on quantum graphs in the limit of large mass. Zbl 1477.35230
Berkolaiko, Gregory; Marzuola, Jeremy L.; Pelinovsky, Dmitry E.
2021
Standing waves on a flower graph. Zbl 1454.35406
Kairzhan, Adilbek; Marangell, Robert; Pelinovsky, Dmitry E.; Xiao, Ke Liang
2021
Growth of perturbations to the peaked periodic waves in the Camassa-Holm equation. Zbl 1467.35042
Madiyeva, Aigerim; Pelinovsky, Dmitry E.
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.
2021
$$W^{1,\infty}$$ instability of $$H^1$$-stable peakons in the Novikov equation. Zbl 1471.35092
Chen, Robin Ming; Pelinovsky, Dmitry E.
2021
Green’s function for the fractional KdV equation on the periodic domain via Mittag-Leffler function. Zbl 07443856
Le, Uyen; Pelinovsky, Dmitry E.
2021
Standing waves of the quintic NLS equation on the tadpole graph. Zbl 1448.35474
Noja, Diego; Pelinovsky, Dmitry E.
2020
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.
2020
Instability of $$H^1$$-stable peakons in the Camassa-Holm equation. Zbl 1439.35137
Natali, Fábio; Pelinovsky, Dmitry E.
2020
Stationary states of the cubic conformal flow on $$\mathbb{S}^3$$. Zbl 1441.37082
Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry
2020
Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with $$\mathcal{PT}$$-symmetry. Zbl 1481.34026
Dohnal, Tomáš; Pelinovsky, Dmitry
2020
Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations. Zbl 1454.35024
Geyer, Anna; Pelinovsky, Dmitry E.
2020
Localized structures on librational and rotational travelling waves in the sine-Gordon equation. Zbl 1472.35010
Pelinovsky, Dmitry E.; White, Robert E.
2020
The monoatomic FPU system as a limit of a diatomic FPU system. Zbl 1442.35456
Pelinovsky, Dmitry E.; Schneider, Guido
2020
Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226
Chen, Jinbing; Pelinovsky, Dmitry E.
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.
2019
Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401
Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H.
2019
Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation. Zbl 1412.35031
Geyer, Anna; Pelinovsky, D.
2019
Convergence of Petviashvili’s method near periodic waves in the fractional Korteweg-de Vries equation. Zbl 1419.35178
Le, Uyen; Pelinovsky, Dmitry E.
2019
Ground state of the conformal flow on $$\mathbb{S}^3$$. Zbl 1417.58021
Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry E.
2019
Inverse scattering for the massive Thirring model. Zbl 1442.35362
Pelinovsky, Dmitry E.; Saalmann, Aaron
2019
Integrable semi-discretization of the massive Thirring system in laboratory coordinates. Zbl 1422.81145
Joshi, Nalini; Pelinovsky, Dmitry E.
2019
Darboux transformation and soliton solutions of the semi-discrete massive Thirring model. Zbl 1477.81062
Xu, Tao; Pelinovsky, Dmitry E.
2019
Nonexistence of self-similar blowup for the nonlinear Dirac equations in $$(1+1)$$ dimensions. Zbl 1417.35154
Huh, Hyungjin; Pelinovsky, Dmitry E.
2019
Rogue periodic waves of the modified KdV equation. Zbl 1393.35201
Chen, Jinbing; Pelinovsky, Dmitry E.
2018
Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256
Chen, Jinbing; Pelinovsky, Dmitry E.
2018
Nonlinear instability of half-solitons on star graphs. Zbl 1392.35289
Kairzhan, Adilbek; Pelinovsky, Dmitry E.
2018
Spectral stability of shifted states on star graphs. Zbl 1397.35278
Kairzhan, Adilbek; Pelinovsky, Dmitry E.
2018
Existence of global solutions to the derivative NLS equation with the inverse scattering transform method. Zbl 1410.35212
Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2018
Helical solitons in vector modified Korteweg-de Vries equations. Zbl 1404.35395
Pelinovsky, Dmitry E.; Stepanyants, Yury A.
2018
Orbital stability of domain walls in coupled Gross-Pitaevskii systems. Zbl 1387.35430
Contreras, Andres; Pelinovsky, Dmitry E.; Plum, Michael
2018
Normal form for transverse instability of the line soliton with a nearly critical speed of propagation. Zbl 1405.35187
Pelinovsky, Dmitry
2018
Bifurcations of standing localized waves on periodic graphs. Zbl 1387.35556
Pelinovsky, Dmitry; Schneider, Guido
2017
The derivative NLS equation: global existence with solitons. Zbl 1386.35311
Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke
2017
Spectral stability of periodic waves in the generalized reduced Ostrovsky equation. Zbl 1373.35041
Geyer, Anna; Pelinovsky, Dmitry E.
2017
Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates. Zbl 1382.35264
García-Azpeitia, C.; Pelinovsky, D. E.
2017
Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators. Zbl 06751151
Haragus, Mariana; Li, Jin; Pelinovsky, Dmitry E.
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.
2017
Long-time stability of small FPU solitary waves. Zbl 1364.37153
Khan, Amjad; Pelinovsky, Dmitry E.
2017
On the linearized $$\log$$-KdV equation. Zbl 1367.35147
Pelinovsky, Dmitry E.
2017
Coupled pendula chains under parametric $$\mathcal{PT}$$-symmetric driving force. Zbl 1375.35482
Destyl, E.; Nuiro, S. P.; Pelinovsky, D. E.; Poullet, P.
2017
On the characterization of vortex configurations in the steady rotating Bose-Einstein condensates. Zbl 1404.82035
Kevrekidis, P. G.; Pelinovsky, D. E.
2017
Ground state on the dumbbell graph. Zbl 1345.35105
Marzuola, Jeremy L.; Pelinovsky, Dmitry E.
2016
Validity of the NLS approximation for periodic quantum graphs. Zbl 1367.35156
Gilg, Steffen; Pelinovsky, Dmitry; Schneider, Guido
2016
$$L^{2}$$ orbital stability of Dirac solitons in the massive Thirring model. Zbl 1342.35287
Contreras, Andres; Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2016
Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations. Zbl 1347.37123
Pelinovsky, Dmitry; Penati, Tiziano; Paleari, Simone
2016
Orbital stability of periodic waves in the class of reduced Ostrovsky equations. Zbl 1355.35017
Johnson, Edward R.; Pelinovsky, Dmitry E.
2016
Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014
Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.
2016
Transverse instability of line solitary waves in massive Dirac equations. Zbl 1334.35266
Pelinovsky, Dmitry; Shimabukuro, Yusuke
2016
Long-time stability of breathers in Hamiltonian $$\mathcal{P}\mathcal {T}$$-symmetric lattices. Zbl 1355.82021
Chernyavsky, Alexander; Pelinovsky, Dmitry E.
2016
Self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption. Zbl 1361.35078
Foster, Jamie M.; Pelinovsky, Dmitry E.
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.
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
2015
Domain walls in the coupled Gross-Pitaevskii equations. Zbl 1308.35261
Alama, Stan; Bronsard, Lia; Contreras, Andres; Pelinovsky, Dmitry E.
2015
Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves. Zbl 1326.35340
Gallay, Thierry; Pelinovsky, Dmitry
2015
Dimer with gain and loss: integrability and $$\mathcal{PT}$$-symmetry restoration. Zbl 1329.35275
Barashenkov, I. V.; Pelinovsky, D. E.; Dubard, P.
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.
2015
Orbital stability in the cubic defocusing NLS equation. II: The black soliton. Zbl 1311.35282
Gallay, Thierry; Pelinovsky, Dmitry
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.
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
2015
The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 1457.35067
Cuccagna, Scipio; Pelinovsky, Dmitry E.
2014
Gaussian solitary waves and compactons in Fermi-pasta-Ulam lattices with Hertzian potentials. Zbl 1371.37130
James, Guillaume; Pelinovsky, Dmitry
2014
Global existence of small-norm solutions in the reduced Ostrovsky equation. Zbl 1277.35008
Grimshaw, Roger; Pelinovsky, Dmitry
2014
Orbital stability of Dirac solitons. Zbl 1292.35256
Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2014
Justification of the log-KdV equation in granular chains: the case of precompression. Zbl 1317.34020
Dumas, Eric; Pelinovsky, Dmitry
2014
Stability of multi-solitons in the cubic NLS equation. Zbl 1298.35190
Contreras, Andres; Pelinovsky, Dmitry
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.
2014
On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215
Carles, Rémi; Pelinovsky, Dmitry
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.
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.
2014
Spectral stability of nonlinear waves in KdV-type evolution equations. Zbl 1456.37079
Pelinovsky, Dmitry E.
2014
Justification of a nonlinear Schrödinger model for laser beams in photopolymers. Zbl 1296.35175
Pelinovsky, Dmitry; Ponomarev, Dmitry
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
2014
Rigorous justification of the short-pulse equation. Zbl 1268.35089
Pelinovsky, Dmitry; Schneider, Guido
2013
Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry
2013
Periodic traveling waves in diatomic granular chains. Zbl 1405.34016
Betti, Matthew; Pelinovsky, Dmitry E.
2013
Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y.
2013
Bifurcations of asymmetric vortices in symmetric harmonic traps. Zbl 1270.35069
Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G.
2013
On transverse stability of discrete line solitons. Zbl 1287.35083
Pelinovsky, Dmitry E.; Yang, Jianke
2013
Multi-site breathers in Klein-Gordon lattices: stability, resonances and bifurcations. Zbl 1323.37044
Pelinovsky, Dmitry; Sakovich, Anton
2012
Asymptotic stability of small gap solitons in nonlinear Dirac equations. Zbl 1279.35083
Pelinovsky, Dmitry E.; Stefanov, Atanas
2012
Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation. Zbl 1251.35153
Pelinovsky, D. E.; Phan, T. V.
2012
Sharp bounds on enstrophy growth in the viscous Burgers equation. Zbl 1371.35255
Pelinovsky, Dmitry
2012
Bäcklund transformation and $$L^{2}$$-stability of NLS solitons. Zbl 1239.35148
Mizumachi, Tetsu; Pelinovsky, Dmitry
2012
On the validity of the variational approximation in discrete nonlinear Schrödinger equations. Zbl 1252.35247
Chong, Christopher; Pelinovsky, Dmitry E.; Schneider, Guido
2012
On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation. Zbl 1260.37047
Mizumachi, Tetsu; Pelinovsky, Dmitry
2012
Enstrophy growth in the viscous Burgers equation. Zbl 1410.35180
Pelinovsky, Dmitry
2012
Polychromatic solitary waves in a periodic and nonlinear Maxwell system. Zbl 1251.78010
Pelinovsky, Dmitry E.; Simpson, Gideon; Weinstein, Michael I.
2012
Loops of energy bands for Bloch waves in optical lattices. Zbl 1251.35166
Coles, Matt; Pelinovsky, Dmitry
2012
Localization in periodic potentials. From Schrödinger operators to the Gross-Pitaevskii equation. Zbl 1229.35003
Pelinovsky, Dmitry E.
2011
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials. Zbl 1235.34128
Kirr, E.; Kevrekidis, P. G.; Pelinovsky, D. E.
2011
Convergence of the Adomian decomposition method for initial-value problems. Zbl 1250.65089
Abdelrazec, Ahmed; Pelinovsky, Dmitry
2011
Survey on global existence in the nonlinear Dirac equations in one spatial dimension. Zbl 1236.35136
Pelinovsky, Dmitry
2011
Propagation failure in the discrete Nagumo equation. Zbl 1235.34034
Hupkes, H. J.; Pelinovsky, D.; Sandstede, B.
2011
On the Thomas-Fermi ground state in a harmonic potential. Zbl 1225.35217
Gallo, Clément; Pelinovsky, Dmitry
2011
Variational approximations of bifurcations of asymmetric solitons in cubic-quintic nonlinear Schrödinger lattices. Zbl 1213.35369
Chong, Christopher; Pelinovsky, Dmitry
2011
Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation. Zbl 1234.37051
Pelinovsky, Dmitry; Sakovich, Anton
2011
Variational approximations of trapped vortices in the large-density limit. Zbl 1216.35145
Pelinovsky, D. E.; Kevrekidis, P. G.
2011
Traveling monotonic fronts in the discrete Nagumo equation. Zbl 1222.34014
Pelinovsky, Dmitry
2011
...and 95 more Documents
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### Cited by 1,288 Authors

 113 Pelinovsky, Dmitry Efimovich 39 Kevrekidis, Panayotis G. 26 Cuccagna, Scipio 22 Yang, Jianke 20 Malomed, Boris A. 17 Grimshaw, Roger Hamilton James 17 Stefanov, Atanas G. 15 Coclite, Giuseppe Maria 15 Dohnal, Tomáš 15 Maeda, Masaya 13 Di Ruvo, Lorenzo 13 Dovetta, Simone 13 He, Jingsong 13 Kapitula, Todd M. 12 Duan, Junsheng 12 Muñoz, Claudio 12 Vougalter, Vitali 11 Schneider, Guido 11 Wazwaz, Abdul-Majid Abdul-Rahman 10 Adami, Riccardo 10 Cuevas Maraver, Jesús 10 Duran, Angel 10 Rach, Randolph C. 10 Sourdis, Christos 10 Stanislavova, Milena 9 Comech, Andrew 9 Dutykh, Denys 9 Geng, Xianguo 9 Lakoba, Taras I. 9 Paleari, Simone 9 Penati, Tiziano 9 Rao, Jiguang 9 Volpert, Vitaly A. 8 Chen, Jinbing 8 Ibragimov, Ranis N. 8 Marzuola, Jeremy L. 8 Sacchetti, Andrea 8 Susanto, Hadi 7 Aftalion, Amandine 7 Alejo, Miguel A. 7 Contreras, Andres A. 7 Frantzeskakis, Dimitri J. 7 Goodman, Roy H. 7 Hakkaev, Sevdzhan A. 7 Natali, Fábio M. Amorin 7 Sandstede, Björn 7 Stepanyants, Yury A. 7 Talipova, Tatiana 7 Tentarelli, Lorenzo 6 Carretero-González, Ricardo 6 Cheng, Yi 6 Deconinck, Bernard 6 Deng, Dingwen 6 Hupkes, Hermen Jan 6 Kairzhan, Adilbek 6 Karachalios, Nikos I. 6 Kopylova, Elena A. 6 Li, Ruomeng 6 Lustri, Christopher J. 6 Mihalache, Dumitru 6 Noja, Diego 6 Serra, Enrico 6 Sulem, Catherine 6 Xue, Bo 5 Alfimov, Georgiĭ Leonidovich 5 Angulo Pava, Jaime 5 Chugunova, Marina A. 5 Clamond, Didier 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 Levandosky, Steven Paul 5 Liu, Jiaqi 5 Mitsotakis, Dimitrios E. 5 Nixon, Sean D. 5 Ohta, Masahito 5 Panayotaros, Panayotis 5 Parker, Ross 5 Pelinovsky, Efim 5 Poullet, Pascal 5 Protas, Bartosz 5 Simpson, Gideon 5 Tilli, Paolo 5 Yin, Zhaoyang 5 Yoshimura, Kazuyuki 4 Ablowitz, Mark Jay 4 Belmonte-Beitia, Juan 4 Borrelli, William 4 Boussaid, Nabile 4 Cacciapuoti, Claudio 4 Carlone, Raffaele 4 Champneys, Alan R. 4 Chow, Kwok Wing 4 Clarkson, Peter A. ...and 1,188 more Authors
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### Cited in 199 Serials

 103 Physica D 53 Journal of Differential Equations 37 Journal of Mathematical Physics 33 Studies in Applied Mathematics 30 Journal of Nonlinear Science 28 Journal of Mathematical Analysis and Applications 24 Communications in Mathematical Physics 24 Wave Motion 24 Communications in Nonlinear Science and Numerical Simulation 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Discrete and Continuous Dynamical Systems 22 Nonlinearity 22 SIAM Journal on Mathematical Analysis 22 Chaos 17 Applied Mathematics and Computation 15 Physics Letters. A 14 Journal of Computational Physics 13 Theoretical and Mathematical Physics 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Nonlinear Dynamics 12 Applied Mathematics Letters 12 SIAM Journal on Applied Dynamical Systems 11 Applicable Analysis 11 Journal of Fluid Mechanics 11 Mathematics and Computers in Simulation 10 Computers & Mathematics with Applications 10 Letters in Mathematical Physics 10 Journal of Functional Analysis 9 Calculus of Variations and Partial Differential Equations 9 NoDEA. Nonlinear Differential Equations and Applications 9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Chaos, Solitons and Fractals 8 Journal of Computational and Applied Mathematics 8 SIAM Journal on Applied Mathematics 8 Journal of Dynamics and Differential Equations 8 Journal of Nonlinear Mathematical Physics 8 Communications on Pure and Applied Analysis 8 Journal of Physics A: Mathematical and Theoretical 8 Analysis and Mathematical Physics 7 Mathematical Methods in the Applied Sciences 7 Transactions of the American Mathematical Society 7 Physics of Fluids 6 Reviews in Mathematical Physics 6 Proceedings of the American Mathematical Society 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Nonlinear Analysis. Real World Applications 6 Milan Journal of Mathematics 6 Mathematical Modelling of Natural Phenomena 6 Discrete and Continuous Dynamical Systems. Series S 5 Archive for Rational Mechanics and Analysis 5 Advances in Mathematics 5 Communications in Partial Differential Equations 5 Abstract and Applied Analysis 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Discrete and Continuous Dynamical Systems. Series B 4 International Journal of Theoretical Physics 4 Quarterly of Applied Mathematics 4 Journal of Scientific Computing 4 Japan Journal of Industrial and Applied Mathematics 4 Numerical Algorithms 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Mathematical Problems in Engineering 4 Annales Henri Poincaré 4 Journal of Evolution Equations 4 Mediterranean Journal of Mathematics 4 Waves in Random and Complex Media 4 Advances in Mathematical Physics 4 Symmetry 4 International Journal of Applied and Computational Mathematics 3 Journal of Statistical Physics 3 Applied Numerical Mathematics 3 Journal of the American Mathematical Society 3 International Journal of Computer Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Linear Algebra and its Applications 3 Journal of Mathematical Sciences (New York) 3 Journal of Mathematical Chemistry 3 Communications in Contemporary Mathematics 3 Journal of Hyperbolic Differential Equations 3 Evolution Equations and Control Theory 3 Séminaire Laurent Schwartz. EDP et Applications 3 Water Waves 2 Communications on Pure and Applied Mathematics 2 International Journal of Control 2 Journal d’Analyse Mathématique 2 Journal of Engineering Mathematics 2 BIT 2 Journal of the Mathematical Society of Japan 2 Memoirs of the American Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 Asymptotic Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Scientific Computing 2 Russian Journal of Mathematical Physics 2 Computational and Applied Mathematics 2 Complexity 2 Mathematical Physics, Analysis and Geometry 2 Fractional Calculus & Applied Analysis 2 Discrete Dynamics in Nature and Society ...and 99 more Serials
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### Cited in 42 Fields

 871 Partial differential equations (35-XX) 296 Dynamical systems and ergodic theory (37-XX) 138 Numerical analysis (65-XX) 127 Fluid mechanics (76-XX) 123 Quantum theory (81-XX) 114 Ordinary differential equations (34-XX) 78 Optics, electromagnetic theory (78-XX) 71 Statistical mechanics, structure of matter (82-XX) 53 Difference and functional equations (39-XX) 50 Operator theory (47-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 33 Mechanics of deformable solids (74-XX) 28 Mechanics of particles and systems (70-XX) 19 Global analysis, analysis on manifolds (58-XX) 15 Integral equations (45-XX) 12 Approximations and expansions (41-XX) 11 Special functions (33-XX) 11 Geophysics (86-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Biology and other natural sciences (92-XX) 7 Functional analysis (46-XX) 7 Computer science (68-XX) 6 Differential geometry (53-XX) 5 Systems theory; control (93-XX) 4 Combinatorics (05-XX) 4 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral transforms, operational calculus (44-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-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)

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