# zbMATH — the first resource for mathematics

## Pelinovsky, Dmitry Efimovich

Compute Distance To:
 Author ID: pelinovsky.dmitry-e Published as: Pelinovsky, D.; Pelinovsky, D. E.; Pelinovsky, Dimitry; Pelinovsky, Dmitri E.; Pelinovsky, Dmitry; Pelinovsky, Dmitry E. Homepage: https://dmpeli.math.mcmaster.ca/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp
 Documents Indexed: 204 Publications since 1994, including 4 Books Reviewing Activity: 114 Reviews
all top 5

#### Co-Authors

 18 single-authored 18 Kevrekidis, Panayotis G. 12 Schneider, Guido 11 Grimshaw, Roger Hamilton James 8 Yang, Jianke 6 Chugunova, Marina A. 5 Cuccagna, Scipio 5 Sakovich, Anton 5 Shimabukuro, Yusuke 5 Sulem, Catherine 4 Barashenkov, Igor V. 4 Contreras, Andres A. 4 Kairzhan, Adilbek 4 Khusnutdinova, Karima Robertovna 4 Rothos, Vassilis M. 4 Stefanov, Atanas G. 3 Chen, Jinbing 3 Dohnal, Tomáš 3 Gallo, Clément 3 Geyer, Anna 3 Ibragimov, Ranis N. 3 James, Guillaume 3 Kivshar, Yuri S. 3 Pelinovsky, Efim 3 Stepanyants, Yury A. 2 Alexeeva, Nora V. 2 Bizoń, Piotr 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 Huh, Hyungjin 2 Hunik-Kostyra, Dominika 2 Kirr, E. W. 2 Konotop, Vladimir V. 2 Liu, Yue 2 Marzuola, Jeremy L. 2 Melvin, Thomas R. O. 2 Mizumachi, Tetsu 2 Noja, Diego 2 Saalmann, Aaron 2 Tyugin, Dmitry Y. 2 Vougalter, Vitali 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 Belmonte-Beitia, Juan 1 Betti, Matthew 1 Bronsard, Lia 1 Buryak, Alexander V. 1 Carles, Rémi 1 Carter, John D. 1 Cuevas Maraver, Jesús 1 Destyl, Edès 1 Desyatnikov, Anton S. 1 Dontsova, Marina Vladimirovna 1 Dubard, Philippe 1 Dumas, Éric 1 Fukuizumi, Reika 1 Galkin, V. M. 1 García-Azpeitia, Carlos 1 Gilg, Steffen 1 Goodman, Roy H. 1 Gysbers, P. 1 Haragus, Mariana 1 Hupkes, Hermen Jan 1 Hussain, Swaleh 1 Iooss, Gérard 1 Johnson, Edward R. 1 Joshi, Nalini 1 Kalisch, Henrik 1 Khan, Amjad 1 King, John Robert 1 Kirillov, Oleg N. 1 Klaus, Martin 1 Kodama, Yuji 1 Korobeinikov, A. S. 1 Kurkina, O. E. 1 Lakoba, Taras I. 1 Lambert, Franklin 1 Le, Uyen 1 Li, Jin 1 Loris, Ignace 1 Lukas, Mike 1 Lustri, Christopher J. 1 MacKay, Robert Sinclair 1 Malomed, Boris A. 1 Marangell, Robert ...and 35 more Co-Authors
all top 5

#### Serials

 19 Physica D 13 Nonlinearity 10 Journal of Mathematical Physics 10 Studies in Applied Mathematics 9 Journal of Differential Equations 7 SIAM Journal on Mathematical Analysis 7 SIAM Journal on Applied Dynamical Systems 7 Journal of Physics A: Mathematical and Theoretical 6 Journal of Nonlinear Science 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Chaos 4 Applicable Analysis 4 Communications in Mathematical Physics 4 Physics Letters. A 4 Journal of Physics A: Mathematical and General 4 Discrete and Continuous Dynamical Systems 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 Dynamics of Partial Differential Equations 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 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 Physics of Fluids 2 NoDEA. Nonlinear Differential Equations and Applications 2 AMRX. Applied Mathematics Research eXpress 2 Oberwolfach Reports 2 Discrete and Continuous Dynamical Systems. Series S 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Asymptotic Analysis 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 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 RIMS Kôkyûroku Bessatsu 1 Mathematical Modelling of Natural Phenomena 1 Mechanical Engineering and Solid Mechanics Series
all top 5

#### Fields

 170 Partial differential equations (35-XX) 92 Dynamical systems and ergodic theory (37-XX) 26 Fluid mechanics (76-XX) 26 Quantum theory (81-XX) 23 Ordinary differential equations (34-XX) 15 Difference and functional equations (39-XX) 14 Numerical analysis (65-XX) 13 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 Mechanics of particles and systems (70-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 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

167 Publications have been cited 1,427 times in 839 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
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
Global well-posedness of the short-pulse and sine-Gordon equations in energy space. Zbl 1204.35010
Pelinovsky, Dmitry; Sakovich, Anton
2010
Stability of discrete solitons in nonlinear Schrödinger lattices. Zbl 1088.39004
Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J.
2005
Localization in periodic potentials. From Schrödinger operators to the Gross-Pitaevskii equation. Zbl 1229.35003
Pelinovsky, Dmitry E.
2011
Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2010
Purely nonlinear instability of standing waves with minimal energy. Zbl 1072.35165
Comech, Andrew; Pelinovsky, Dmitry
2003
Ground state on the dumbbell graph. Zbl 1345.35105
Marzuola, Jeremy L.; Pelinovsky, Dmitry E.
2016
Convergence of the Adomian decomposition method for initial-value problems. Zbl 1250.65089
Abdelrazec, Ahmed; Pelinovsky, Dmitry
2011
Interaction of lumps with a line soliton for the DSII equation. Zbl 0977.35132
Fokas, A. S.; Pelinovsky, D. E.; Sulem, C.
2001
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials. Zbl 1235.34128
Kirr, E.; Kevrekidis, P. G.; Pelinovsky, D. E.
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
Structural transformation of eigenvalues for a perturbed algebraic soliton potential. Zbl 1043.35522
Pelinovsky, Dmitry E.; Grimshaw, Roger H. J.
1997
Survey on global existence in the nonlinear Dirac equations in one spatial dimension. Zbl 1236.35136
Pelinovsky, Dmitry
2011
Persistence and stability of discrete vortices in nonlinear Schrödinger lattices. Zbl 1088.39005
Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J.
2005
Generation of large-amplitude solitons in the extended Korteweg-de Vries equation. Zbl 1080.35532
Grimshaw, Roger; Pelinovsky, Dmitry; Pelinovsky, Efim; Slunyaev, Alexey
2002
Global existence of small-norm solutions in the reduced Ostrovsky equation. Zbl 1277.35008
Grimshaw, Roger; Pelinovsky, Dmitry
2014
Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential. Zbl 1186.35207
Pelinovsky, Dmitry; Schneider, Guido
2010
Block-diagonalization of the symmetric first-order coupled-mode system. Zbl 1102.35062
Chugunova, Marina; Pelinovsky, Dmitry
2006
Count of eigenvalues in the generalized eigenvalue problem. Zbl 1310.35212
Chugunova, Marina; Pelinovsky, Dmitry
2010
On the exchange of energy in coupled Klein — Gordon equations. Zbl 1163.74380
Khusnutdinova, K. R.; Pelinovsky, D. E.
2003
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension. Zbl 1159.81336
Pelinovsky, D. E.; Stefanov, A.
2008
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
Bifurcations of travelling wave solutions in the discrete NLS equations. Zbl 1086.34059
Pelinovsky, Dmitry E.; Rothos, Vassilis M.
2005
Wave group dynamics in weakly nonlinear long-wave models. Zbl 1006.76012
Grimshaw, Roger; Pelinovsky, Dmitry; Pelinovsky, Efim; Talipova, Tatiana
2001
The structure of the rational solutions to the Boussinesq equation. Zbl 0900.35341
Galkin, V. M.; Pelinovsky, D. E.; Stepanyants, Yu. A.
1995
A normal form for nonlinear resonance of embedded solitons. Zbl 1056.35137
Pelinovsky, Dmitry E.; Yang, Jianke
2002
The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 06297951
Cuccagna, Scipio; Pelinovsky, Dmitry E.
2014
Asymptotic stability of small gap solitons in nonlinear Dirac equations. Zbl 1279.35083
Pelinovsky, Dmitry E.; Stefanov, Atanas
2012
Translationally invariant nonlinear Schrödinger lattices. Zbl 1111.39014
Pelinovsky, Dmitry E.
2006
Internal modes of envelope solitons. Zbl 0934.35175
Pelinovsky, Dmitry E.; Kivshar, Yuri S.; Afanasjev, Vsevolod V.
1998
Orbital stability of Dirac solitons. Zbl 1292.35256
Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2014
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
Validity of the NLS approximation for periodic quantum graphs. Zbl 1367.35156
Gilg, Steffen; Pelinovsky, Dmitry; Schneider, Guido
2016
Domain walls in the coupled Gross-Pitaevskii equations. Zbl 1308.35261
Alama, Stan; Bronsard, Lia; Contreras, Andres; Pelinovsky, Dmitry E.
2015
Multi-site breathers in Klein-Gordon lattices: stability, resonances and bifurcations. Zbl 1323.37044
Pelinovsky, Dmitry; Sakovich, Anton
2012
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
Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential. Zbl 1132.41344
Pelinovsky, Dmitry; Schneider, Guido
2007
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
Nonlinear instability of half-solitons on star graphs. Zbl 1392.35289
2018
The derivative NLS equation: global existence with solitons. Zbl 1386.35311
Pelinovsky, Dmitry E.; Saalmann, Aaron; Shimabukuro, Yusuke
2017
$$L^{2}$$ orbital stability of Dirac solitons in the massive Thirring model. Zbl 1342.35287
Contreras, Andres; Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2016
Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry
2013
On the Thomas-Fermi ground state in a harmonic potential. Zbl 1225.35217
Gallo, Clément; Pelinovsky, Dmitry
2011
Asymptotic stability of small bound states in the discrete nonlinear Schrödinger equation. Zbl 1197.35270
Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A.
2009
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
2006
Rogue periodic waves of the modified KdV equation. Zbl 1393.35201
Chen, Jinbing; Pelinovsky, Dmitry E.
2018
Dimer with gain and loss: integrability and $$\mathcal{PT}$$-symmetry restoration. Zbl 1329.35275
Barashenkov, I. V.; Pelinovsky, D. E.; Dubard, P.
2015
Periodic traveling waves in diatomic granular chains. Zbl 1405.34016
Betti, Matthew; Pelinovsky, Dmitry E.
2013
Rigorous justification of the short-pulse equation. Zbl 1268.35089
Pelinovsky, Dmitry; Schneider, Guido
2013
Bäcklund transformation and $$L^{2}$$-stability of NLS solitons. Zbl 1239.35148
Mizumachi, Tetsu; Pelinovsky, Dmitry
2012
Two-pulse solutions in the fifth-order KdV equation: rigorous theory and numerical approximations. Zbl 1132.35452
Chugunova, Marina; Pelinovsky, Dmitry
2007
Parametric resonance of ground states in the nonlinear Schrödinger equation. Zbl 1081.35101
Cuccagna, S.; Kirr, E.; Pelinovsky, D.
2006
Instabilities of multihump vector solitons in coupled nonlinear Schrödinger equations. Zbl 1145.35461
Pelinovsky, Dmitry E.; Yang, Jianke
2005
Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem. Zbl 1110.35082
Cuccagna, Scipio; Pelinovsky, Dmitry
2005
Modeling of wave resonances in low-contrast photonic crystals. Zbl 1074.78011
Agueev, Dmitri; Pelinovsky, Dmitry
2005
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
Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves. Zbl 1326.35340
Gallay, Thierry; Pelinovsky, Dmitry
2015
Gaussian solitary waves and compactons in Fermi-pasta-Ulam lattices with Hertzian potentials. Zbl 1371.37130
James, Guillaume; Pelinovsky, Dmitry
2014
On the validity of the variational approximation in discrete nonlinear Schrödinger equations. Zbl 1252.35247
Chong, Christopher; Pelinovsky, Dmitry E.; Schneider, Guido
2012
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
Spectrum of a non-self-adjoint operator associated with the periodic heat equation. Zbl 1167.35025
Chugunova, Marina; Pelinovsky, Dmitry
2008
Normal form for travelling kinks in discrete Klein-Gordon lattices. Zbl 1102.37045
Iooss, Gerard; Pelinovsky, Dmitry E.
2006
Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256
Chen, Jinbing; Pelinovsky, Dmitry E.
2018
Spectral stability of shifted states on star graphs. Zbl 1397.35278
2018
Orbital stability of periodic waves in the class of reduced Ostrovsky equations. Zbl 1355.35017
Johnson, Edward R.; Pelinovsky, Dmitry E.
2016
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
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
Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y.
2013
Variational approximations of trapped vortices in the large-density limit. Zbl 1216.35145
Pelinovsky, D. E.; Kevrekidis, P. G.
2011
Evans function for Lax operators with algebraically decaying potentials. Zbl 1117.35070
Klaus, Martin; Pelinovsky, Dmitry E.; Rothos, Vassilis M.
2006
Eigenfunctions and eigenvalues for a scalar Riemann-Hilbert problem associated to inverse scattering. Zbl 0964.37044
Pelinovsky, Dmitry E.; Sulem, Catherine
2000
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
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
Sharp bounds on enstrophy growth in the viscous Burgers equation. Zbl 1371.35255
Pelinovsky, Dmitry
2012
Effects of rotation on stability of viscous stationary flows on a spherical surface. Zbl 1308.76298
Ibragimov, Ranis N.; Pelinovsky, Dmitry E.
2010
Excited states in the large density limit: a variational approach. Zbl 1197.35264
Coles, M. P.; Pelinovsky, D. E.; Kevrekidis, P. G.
2010
Incompressible viscous fluid flows in a thin spherical shell. Zbl 1162.76347
Ibragimov, Ranis N.; Pelinovsky, Dmitry E.
2009
Dark solitons in external potentials. Zbl 1157.35089
Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G.
2008
Eigenvalues of zero energy in the linearized NLS problem. Zbl 1112.35140
Vougalter, Vitali; Pelinovsky, Dimitry
2006
Travelling kinks in discrete $$\phi^4$$ models. Zbl 1101.82008
Oxtoby, O. F.; Pelinovsky, D. E.; Barashenkov, I. V.
2006
Nonlinearity management in higher dimensions. Zbl 1274.35361
Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A.
2006
Semi-stability of embedded solitons in the general fifth-order KdV equation. Zbl 1163.74446
Tan, Yu; Yang, Jianke; Pelinovsky, Dmitry E.
2002
Nonlocal models for envelope waves in a stratified fluid. Zbl 0878.35091
Pelinovsky, Dmitry E.; Grimshaw, Roger H. J.
1996
A spectral transform for the intermediate nonlinear Schrödinger equation. Zbl 0845.35119
Pelinovsky, Dmitry E.; Grimshaw, Roger H. J.
1995
Existence of global solutions to the derivative NLS equation with the inverse scattering transform method. Zbl 1410.35212
Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2018
Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates. Zbl 1382.35264
García-Azpeitia, C.; Pelinovsky, D. E.
2017
Stability of multi-solitons in the cubic NLS equation. Zbl 1298.35190
Contreras, Andres; Pelinovsky, Dmitry
2014
Bifurcations of asymmetric vortices in symmetric harmonic traps. Zbl 1270.35069
Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G.
2013
On quadratic eigenvalue problems arising in stability of discrete vortices. Zbl 1176.15010
Chugunova, Marina; Pelinovsky, Dmitry
2009
Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices. Zbl 1147.35097
Lukas, Mike; Pelinovsky, Dmitry; Kevrekidis, P. G.
2008
Nonlinear instability of a critical traveling wave in the generalized Korteweg-de Vries equation. Zbl 1136.35077
Comech, Andrew; Cuccagna, Scipio; Pelinovsky, Dmitry E.
2007
Stability analysis of embedded solitons in the generalized third-order nonlinear Schrödinger equation. Zbl 1144.37398
Pelinovsky, Dmitry E.; Yang, Jianke
2005
Spectral stability and time evolution of $$N$$-solitons in the KdV hierarchy. Zbl 1080.35120
Kodama, Yuji; Pelinovsky, Dmitry
2005
Pelinovsky, Dmitry
1998
Stationary states of the cubic conformal flow on $$\mathbb{S}^3$$. Zbl 1441.37082
Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry
2020
Ground state of the conformal flow on $$\mathbb{S}^3$$. Zbl 1417.58021
Bizoń, Piotr; Hunik-Kostyra, Dominika; Pelinovsky, Dmitry 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
Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226
Chen, Jinbing; 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
Nonlinear instability of half-solitons on star graphs. Zbl 1392.35289
2018
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
Spectral stability of shifted states on star graphs. Zbl 1397.35278
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
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
Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates. Zbl 1382.35264
García-Azpeitia, C.; Pelinovsky, D. E.
2017
Spectral stability of periodic waves in the generalized reduced Ostrovsky equation. Zbl 1373.35041
Geyer, Anna; Pelinovsky, Dmitry E.
2017
Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators. Zbl 06751151
Haragus, Mariana; Li, Jin; Pelinovsky, Dmitry E.
2017
Long-time stability of small FPU solitary waves. Zbl 1364.37153
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
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
Orbital stability of periodic waves in the class of reduced Ostrovsky equations. Zbl 1355.35017
Johnson, Edward R.; Pelinovsky, Dmitry E.
2016
Long-time stability of breathers in Hamiltonian $$\mathcal{P}\mathcal {T}$$-symmetric lattices. Zbl 1355.82021
Chernyavsky, Alexander; 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
Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations. Zbl 1347.37123
Pelinovsky, Dmitry; Penati, Tiziano; Paleari, Simone
2016
Transverse instability of line solitary waves in massive Dirac equations. Zbl 1334.35266
Pelinovsky, Dmitry; Shimabukuro, Yusuke
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
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
Dimer with gain and loss: integrability and $$\mathcal{PT}$$-symmetry restoration. Zbl 1329.35275
Barashenkov, I. V.; Pelinovsky, D. E.; Dubard, P.
2015
Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves. Zbl 1326.35340
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
Orbital stability in the cubic defocusing NLS equation. II: The black soliton. Zbl 1311.35282
Gallay, Thierry; Pelinovsky, Dmitry
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
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
Global existence of small-norm solutions in the reduced Ostrovsky equation. Zbl 1277.35008
Grimshaw, Roger; Pelinovsky, Dmitry
2014
The asymptotic stability of solitons in the cubic NLS equation on the line. Zbl 06297951
Cuccagna, Scipio; Pelinovsky, Dmitry E.
2014
Orbital stability of Dirac solitons. Zbl 1292.35256
Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
2014
Gaussian solitary waves and compactons in Fermi-pasta-Ulam lattices with Hertzian potentials. Zbl 1371.37130
James, Guillaume; 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
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
Stability of multi-solitons in the cubic NLS equation. Zbl 1298.35190
Contreras, Andres; Pelinovsky, Dmitry
2014
Justification of the log-KdV equation in granular chains: the case of precompression. Zbl 1317.34020
Dumas, Eric; Pelinovsky, Dmitry
2014
On the orbital stability of Gaussian solitary waves in the log-KdV equation. Zbl 1319.35215
Carles, Rémi; Pelinovsky, Dmitry
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
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
Justification of a nonlinear Schrödinger model for laser beams in photopolymers. Zbl 1296.35175
Pelinovsky, Dmitry; Ponomarev, Dmitry
2014
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
Rigorous justification of the short-pulse equation. Zbl 1268.35089
Pelinovsky, Dmitry; Schneider, Guido
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
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
Multi-site breathers in Klein-Gordon lattices: stability, resonances and bifurcations. Zbl 1323.37044
Pelinovsky, Dmitry; Sakovich, Anton
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
Sharp bounds on enstrophy growth in the viscous Burgers equation. Zbl 1371.35255
Pelinovsky, Dmitry
2012
Enstrophy growth in the viscous Burgers equation. Zbl 1410.35180
Pelinovsky, Dmitry
2012
On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation. Zbl 1260.37047
Mizumachi, Tetsu; 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
Convergence of the Adomian decomposition method for initial-value problems. Zbl 1250.65089
Abdelrazec, Ahmed; Pelinovsky, Dmitry
2011
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials. Zbl 1235.34128
Kirr, E.; Kevrekidis, P. G.; Pelinovsky, D. E.
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
Global well-posedness of the short-pulse and sine-Gordon equations in energy space. Zbl 1204.35010
Pelinovsky, Dmitry; Sakovich, Anton
2010
Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2010
Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential. Zbl 1186.35207
Pelinovsky, Dmitry; Schneider, Guido
2010
Count of eigenvalues in the generalized eigenvalue problem. Zbl 1310.35212
Chugunova, Marina; Pelinovsky, Dmitry
2010
Effects of rotation on stability of viscous stationary flows on a spherical surface. Zbl 1308.76298
Ibragimov, Ranis N.; Pelinovsky, Dmitry E.
2010
Excited states in the large density limit: a variational approach. Zbl 1197.35264
Coles, M. P.; Pelinovsky, D. E.; Kevrekidis, P. G.
2010
Bifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient. Zbl 1194.35397
Belmonte-Beitia, Juan; Pelinovsky, Dmitry
2010
Homogenization of the variable-speed wave equation. Zbl 1231.76242
Grimshaw, Roger; Pelinovsky, Dmitry; Pelinovsky, Efim
2010
Asymptotic properties of excited states in the Thomas-Fermi limit. Zbl 1194.81097
Pelinovsky, Dmitry
2010
Wave breaking in the short-pulse equation. Zbl 1190.35061
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2009
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
Asymptotic stability of small bound states in the discrete nonlinear Schrödinger equation. Zbl 1197.35270
Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A.
2009
Incompressible viscous fluid flows in a thin spherical shell. Zbl 1162.76347
Ibragimov, Ranis N.; Pelinovsky, Dmitry E.
2009
On quadratic eigenvalue problems arising in stability of discrete vortices. Zbl 1176.15010
Chugunova, Marina; Pelinovsky, Dmitry
2009
Discrete traveling solitons in the Salerno model. Zbl 1171.34041
Melvin, Thomas R. O.; Champneys, Alan R.; Pelinovsky, Dmitry E.
2009
Eigenvalues of a nonlinear ground state in the Thomas-Fermi approximation. Zbl 1173.82005
Gallo, Clément; Pelinovsky, Dmitry
2009
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension. Zbl 1159.81336
Pelinovsky, D. E.; Stefanov, A.
2008
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
Spectrum of a non-self-adjoint operator associated with the periodic heat equation. Zbl 1167.35025
Chugunova, Marina; Pelinovsky, Dmitry
2008
Dark solitons in external potentials. Zbl 1157.35089
Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G.
2008
Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices. Zbl 1147.35097
Lukas, Mike; Pelinovsky, Dmitry; Kevrekidis, P. G.
2008
Periodic oscillations of discrete NLS solitons in the presence of diffraction management. Zbl 1155.35457
Panayotaros, Panayotis; Pelinovsky, Dmitry
2008
Surface gap solitons at a nonlinearity interface. Zbl 1165.35443
Dohnal, Tomáš; Pelinovsky, Dmitry
2008
Stability of discrete dark solitons in nonlinear Schrödinger lattices. Zbl 1144.39008
Pelinovsky, D. E.; Kevrekidis, P. G.
2008
Three-dimensional gravity waves in a channel of variable depth. Zbl 1221.76045
Ibragimov, Ranis N.; Pelinovsky, Dmitry E.
2008
Numerical mathematics. Zbl 1217.65001
Grasselli, Matheus; Pelinovsky, Dmitry
2008
...and 67 more Documents
all top 5

#### Cited by 1,049 Authors

 97 Pelinovsky, Dmitry Efimovich 34 Kevrekidis, Panayotis G. 23 Cuccagna, Scipio 19 Malomed, Boris A. 19 Yang, Jianke 17 Grimshaw, Roger Hamilton James 13 Coclite, Giuseppe Maria 13 Kapitula, Todd M. 11 Di Ruvo, Lorenzo 11 Dohnal, Tomáš 11 Duan, Junsheng 11 Schneider, Guido 11 Wazwaz, Abdul-Majid Abdul-Rahman 10 Dovetta, Simone 10 Maeda, Masaya 10 Rach, Randolph C. 10 Sourdis, Christos 9 Adami, Riccardo 9 Dutykh, Denys 9 Ibragimov, Ranis N. 9 Lakoba, Taras I. 9 Pelinovsky, Efim 9 Stefanov, Atanas G. 9 Vougalter, Vitali 8 Cuevas Maraver, Jesús 8 Muñoz, Claudio 8 Volpert, Vitaly A. 7 Comech, Andrew 7 Frantzeskakis, Dimitri J. 7 Marzuola, Jeremy L. 7 Sacchetti, Andrea 7 Serra, Enrico 6 Aftalion, Amandine 6 Alejo, Miguel A. 6 Alfimov, Georgiĭ Leonidovich 6 Carretero-González, Ricardo 6 Contreras, Andres A. 6 Duran, Angel 6 Goodman, Roy H. 6 He, Jingsong 6 Noja, Diego 6 Paleari, Simone 6 Penati, Tiziano 6 Stepanyants, Yury A. 6 Sulem, Catherine 6 Susanto, Hadi 6 Talipova, Tatiana 5 Chen, Jinbing 5 Chow, Kwok Wing 5 Chugunova, Marina A. 5 Clamond, Didier 5 Deconinck, Bernard 5 Geng, Xianguo 5 Guo, Yujin 5 Hupkes, Hermen Jan 5 Khusnutdinova, Karima Robertovna 5 Natali, Fábio M. Amorin 5 Nixon, Sean D. 5 Ohta, Masahito 5 Panayotaros, Panayotis 5 Sandstede, Björn 5 Simpson, Gideon 5 Stanislavova, Milena 5 Tentarelli, Lorenzo 5 Tilli, Paolo 4 Ablowitz, Mark Jay 4 Angulo Pava, Jaime 4 Belmonte-Beitia, Juan 4 Cacciapuoti, Claudio 4 Champneys, Alan R. 4 Clarkson, Peter A. 4 Feng, Baofeng 4 Fokas, Athanassios S. 4 García-Azpeitia, Carlos 4 Hayashi, Nakao 4 Hoseini, Seyed Mohammad 4 Huh, Hyungjin 4 Kairzhan, Adilbek 4 Li, Ruomeng 4 Ma, Wen-Xiu 4 Mitsotakis, Dimitrios E. 4 Naumkin, Pavel Ivanovich 4 Pankov, Alexander A. 4 Perry, Peter A. 4 Plum, Michael 4 Protas, Bartosz 4 Van Vleck, Erik S. 4 Weinstein, Michael I. 4 Yin, Zhaoyang 4 Yoshimura, Kazuyuki 4 Zezyulin, Dmitry A. 4 Zhu, Zuonong 3 Akylas, T. R. 3 Alama, Stan 3 Alexeeva, Nora V. 3 Alonso-Mallo, Isaías 3 Bambusi, Dario 3 Barashenkov, Igor V. 3 Borisov, Denis Ivanovich 3 Boussaid, Nabile ...and 949 more Authors
all top 5

#### Cited in 164 Serials

 67 Physica D 46 Journal of Differential Equations 35 Journal of Mathematical Physics 33 Studies in Applied Mathematics 25 Journal of Mathematical Analysis and Applications 22 Communications in Mathematical Physics 22 Chaos 19 SIAM Journal on Mathematical Analysis 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Journal of Nonlinear Science 18 Discrete and Continuous Dynamical Systems 17 Wave Motion 16 Applied Mathematics and Computation 16 Communications in Nonlinear Science and Numerical Simulation 13 Theoretical and Mathematical Physics 12 Journal of Computational Physics 12 Nonlinear Dynamics 11 Nonlinearity 11 Applied Mathematics Letters 10 Journal of Fluid Mechanics 10 Physics Letters. A 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Applicable Analysis 9 Computers & Mathematics with Applications 9 Journal of Functional Analysis 9 Mathematics and Computers in Simulation 9 SIAM Journal on Applied Dynamical Systems 8 Letters in Mathematical Physics 8 Journal of Physics A: Mathematical and Theoretical 7 Mathematical Methods in the Applied Sciences 7 Journal of Computational and Applied Mathematics 7 Transactions of the American Mathematical Society 7 SIAM Journal on Applied Mathematics 7 Calculus of Variations and Partial Differential Equations 7 Physics of Fluids 7 Journal of Nonlinear Mathematical Physics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Reviews in Mathematical Physics 6 NoDEA. Nonlinear Differential Equations and Applications 6 Milan Journal of Mathematics 6 Mathematical Modelling of Natural Phenomena 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Proceedings of the American Mathematical Society 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Analysis and Mathematical Physics 4 Archive for Rational Mechanics and Analysis 4 International Journal of Theoretical Physics 4 Journal of Dynamics and Differential Equations 4 Abstract and Applied Analysis 4 Mediterranean Journal of Mathematics 4 Symmetry 3 Journal of Statistical Physics 3 Chaos, Solitons and Fractals 3 Advances in Mathematics 3 Journal of the American Mathematical Society 3 Journal of Scientific Computing 3 Communications in Partial Differential Equations 3 International Journal of Computer Mathematics 3 Linear Algebra and its Applications 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Mathematical Sciences (New York) 3 Journal of Mathematical Chemistry 3 Mathematical Problems in Engineering 3 Communications in Contemporary Mathematics 3 Annales Henri Poincaré 3 Communications on Pure and Applied Analysis 3 Journal of Hyperbolic Differential Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 2 Communications on Pure and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Engineering Mathematics 2 BIT 2 Quarterly of Applied Mathematics 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Japan Journal of Industrial and Applied Mathematics 2 Numerical Algorithms 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Russian Journal of Mathematical Physics 2 Complexity 2 Mathematical Physics, Analysis and Geometry 2 Journal of Modern Optics 2 The ANZIAM Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 1 International Journal of Modern Physics B 1 Astrophysics and Space Science 1 Computers and Fluids 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 64 more Serials
all top 5

#### Cited in 41 Fields

 672 Partial differential equations (35-XX) 220 Dynamical systems and ergodic theory (37-XX) 101 Numerical analysis (65-XX) 98 Fluid mechanics (76-XX) 95 Quantum theory (81-XX) 93 Ordinary differential equations (34-XX) 62 Optics, electromagnetic theory (78-XX) 59 Statistical mechanics, structure of matter (82-XX) 41 Difference and functional equations (39-XX) 38 Operator theory (47-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 24 Mechanics of deformable solids (74-XX) 21 Mechanics of particles and systems (70-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Integral equations (45-XX) 12 Geophysics (86-XX) 8 Special functions (33-XX) 7 Approximations and expansions (41-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 6 Differential geometry (53-XX) 6 Biology and other natural sciences (92-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.