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Pelinovsky, Dmitry Efimovich

Author ID: pelinovsky.dmitry-e Recent zbMATH articles by "Pelinovsky, Dmitry Efimovich"
Published as: Pelinovsky, Dmitry E.; Pelinovsky, Dmitry; Pelinovsky, D. E.; Pelinovsky, D.; Pelinovsky, Dimitry E.; Pelinovsky, Dmitri E.; Pelinovsky, Dimitry
Homepage: https://dmpeli.math.mcmaster.ca/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr
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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
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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

Publications by Year

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
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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
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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. Theory, Methods & Applications. Series A: Theory and Methods
24 Physics Letters. A
24 SIAM Journal on Mathematical Analysis
23 Chaos
18 Nonlinear Dynamics
17 Applied Mathematics and Computation
17 Applied Mathematics Letters
14 Journal of Computational Physics
14 Chaos, Solitons and Fractals
14 SIAM Journal on Applied Dynamical Systems
13 Theoretical and Mathematical Physics
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Applicable Analysis
12 Journal of Fluid Mechanics
12 Mathematical Methods in the Applied Sciences
12 Journal of Dynamics and Differential Equations
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Journal of Functional Analysis
11 Mathematics and Computers in Simulation
10 Computers & Mathematics with Applications
10 Letters in Mathematical Physics
10 Calculus of Variations and Partial Differential Equations
10 NoDEA. Nonlinear Differential Equations and Applications
10 Journal of Nonlinear Mathematical Physics
9 Journal of Computational and Applied Mathematics
9 SIAM Journal on Applied Mathematics
9 Communications on Pure and Applied Analysis
9 Analysis and Mathematical Physics
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Proceedings of the American Mathematical Society
8 Transactions of the American Mathematical Society
7 Journal of Scientific Computing
7 Physics of Fluids
7 Annales Henri Poincaré
7 Nonlinear Analysis. Real World Applications
7 Discrete and Continuous Dynamical Systems. Series S
7 Mathematics in Engineering
6 Reviews in Mathematical Physics
6 Advances in Mathematics
6 Quarterly of Applied Mathematics
6 Communications in Partial Differential Equations
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Milan Journal of Mathematics
6 Mathematical Modelling of Natural Phenomena
5 Archive for Rational Mechanics and Analysis
5 Numerical Algorithms
5 International Journal of Computer Mathematics
5 Abstract and Applied Analysis
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Qualitative Theory of Dynamical Systems
5 Discrete and Continuous Dynamical Systems. Series B
5 Communications in Theoretical Physics
4 International Journal of Theoretical Physics
4 Japan Journal of Industrial and Applied Mathematics
4 Annals of Physics
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Mathematical Problems in Engineering
4 Journal of Evolution Equations
4 Mediterranean Journal of Mathematics
4 Waves in Random and Complex Media
4 Analysis & PDE
4 Advances in Mathematical Physics
4 Symmetry
4 International Journal of Applied and Computational Mathematics
4 Water Waves
3 Journal d’Analyse Mathématique
3 Journal of Statistical Physics
3 Memoirs of the American Mathematical Society
3 Monatshefte für Mathematik
3 Applied Numerical Mathematics
3 Numerical Methods for Partial Differential Equations
3 Journal of the American Mathematical Society
3 Asymptotic Analysis
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Linear Algebra and its Applications
3 SIAM Journal on Scientific Computing
3 Journal of Mathematical Sciences (New York)
3 Computational and Applied Mathematics
3 Complexity
3 Journal of Mathematical Chemistry
3 Fractional Calculus & Applied Analysis
3 New Journal of Physics
3 Communications in Contemporary Mathematics
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Journal of Hyperbolic Differential Equations
3 Evolution Equations and Control Theory
3 Séminaire Laurent Schwartz. EDP et Applications
2 Computer Physics Communications
...and 134 more Serials
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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)

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