World's Best Scientists 2026 revealed!
Dmitry E. Pelinovsky

Dmitry E. Pelinovsky

D-Index & Metrics

Mathematics

D-Index
63
Citations
12429
World Ranking
445
National Ranking
16

Engineering and Technology

D-Index
56
Citations
10666
World Ranking
2861
National Ranking
121

Dmitry E. Pelinovsky publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Dmitry E. Pelinovsky sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 342 publications — 90th percentile

90% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Dmitry E. Pelinovsky D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Dmitry E. Pelinovsky sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 63 D-Index — 88th percentile

88% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Dmitry E. Pelinovsky is a researcher affiliated with McMaster University in Canada. Their primary fields of study encompass Physics and Astronomy as well as Mathematics, with significant contributions to subfields such as Statistical and Nonlinear Physics, Mathematical Physics, Atomic and Molecular Physics and Optics, Geometry and Topology, and Numerical Analysis.

The scientist's research topics focus extensively on areas including Nonlinear Photonic Systems, Nonlinear Waves and Solitons, Advanced Mathematical Physics Problems, Quantum Chaos and Dynamical Systems, Algebraic Structures and Combinatorial Models, Cold Atom Physics and Bose-Einstein Condensates, and Differential Equations and Numerical Methods.

Pelinovsky has published several recent papers, notable among them are:

  • Periodic standing waves in the focusing nonlinear Schrödinger equation: Rogue waves and modulation instability, 2020, Physica D Nonlinear Phenomena
  • Rogue waves on the background of periodic standing waves in the derivative nonlinear Schrödinger equation, 2021, Physical Review E
  • Observation of modulation instability and rogue breathers on stationary periodic waves, 2020, Physical Review Research
  • Stability of smooth periodic travelling waves in the Camassa-Holm equation, 2021, Studies in Applied Mathematics
  • Standing waves of the quintic NLS equation on the tadpole graph, 2020, BOA (University of Milano-Bicocca)

The scientist frequently collaborates with co-authors including Jinbing Chen, Anna Geyer, Guido Schneider, Fábio Natali, and Uyen Le.

Publication venues where Pelinovsky's work is frequently seen include arXiv (Cornell University), Nonlinearity, Physica D Nonlinear Phenomena, SIAM Journal on Mathematical Analysis, and SSRN Electronic Journal.

In addition to articles, Dmitry E. Pelinovsky has authored a book titled Stability of Nonlinear Waves in Hamiltonian Dynamical Systems, expected to be published by Mathematical Surveys and Monographs in 2025.

Best Publications

  • Self-focusing and transverse instabilities of solitary waves

    Yuri S. Kivshar;Dmitry E. Pelinovsky

  • Vibrations and Oscillatory Instabilities of Gap Solitons

    I. V. Barashenkov;D. E. Pelinovsky;E. V. Zemlyanaya

  • Internal Modes of Solitary Waves

    Yuri S. Kivshar;Dmitry E. Pelinovsky;Thierry Cretegny;Michel Peyrard

  • Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates.

    V. Achilleos;D. J. Frantzeskakis;P. G. Kevrekidis;D. E. Pelinovsky

  • Stability of discrete solitons in nonlinear Schrödinger lattices

    D.E. Pelinovsky;P.G. Kevrekidis;D.J. Frantzeskakis

  • Self-focusing of plane dark solitons in nonlinear defocusing media

    Dmitry E. Pelinovsky;Dmitry E. Pelinovsky;Yuri A. Stepanyants;Yuri S. Kivshar

  • Bifurcations and stability of gap solitons in periodic potentials.

    Dmitry E. Pelinovsky;Andrey A. Sukhorukov;Yuri S. Kivshar

  • Instability of solitons governed by quadratic nonlinearities.

    Dmitry E. Pelinovsky;Alexander V. Buryak;Yuri S. Kivshar

  • Nonlinear theory of oscillating, decaying, and collapsing solitons in the generalized nonlinear Schrödinger equation.

    Dmitry E. Pelinovsky;Vsevolod V. Afanasjev;Yuri S. Kivshar

  • Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations

    Dmitry E. Pelinovsky;Yury A. Stepanyants

  • Persistence and stability of discrete vortices in nonlinear Schrödinger lattices

    D.E. Pelinovsky;P.G. Kevrekidis;D.J. Frantzeskakis

  • Internal modes of envelope solitons

    Dmitry E. Pelinovsky;Yuri S. Kivshar;Vsevolod V. Afanasjev

  • Localization in Periodic Potentials: From Schrodinger Operators to the Gross-Pitaevskii Equation

    Dmitry E. Pelinovsky

  • Wave group dynamics in weakly nonlinear long-wave models

    Roger H.J. Grimshaw;Dmitry Pelinovsky;Efim N. Pelinovsky;Tatiana G. Talipova

  • Rogue periodic waves of the focusing nonlinear Schrödinger equation

    Jinbing Chen;Dmitry E. Pelinovsky

  • Spectra of Positive and Negative Energies in the Linearized NLS Problem

    Scipio Cuccagna;Dmitry Pelinovsky;Vitali Vougalter

  • Rogue periodic waves of the modified KdV equation

    Jinbing Chen;Jinbing Chen;Dmitry E Pelinovsky;Dmitry E Pelinovsky

  • Rogue periodic waves of the mKdV equation

    Jinbing Chen;Dmitry E. Pelinovsky

  • Convergence of the Adomian decomposition method for initial‐value problems

    Unknown

  • Generation of large-amplitude solitons in the extended Korteweg–de Vries equation

    Roger Grimshaw;Dmitry Pelinovsky;Efim Pelinovsky;Alexey Slunyaev

  • Interaction of lumps with a line soliton for the DSII equation

    A.S. Fokas;A.S. Fokas;D.E. Pelinovsky;C. Sulem

  • Bifurcation of gap solitons in periodic potentials with a sign-varying nonlinearity coefficient

    Juan Belmonte-Beitia;Dmitry Pelinovsky

Frequent Co-Authors

Panayotis G. Kevrekidis
Panayotis G. Kevrekidis University of Massachusetts Amherst
Guido Schneider
Guido Schneider University of Stuttgart
Yuri S. Kivshar
Yuri S. Kivshar Australian National University
Roger Grimshaw
Roger Grimshaw Loughborough University
Jianke Yang
Jianke Yang University of Vermont
Dimitri J. Frantzeskakis
Dimitri J. Frantzeskakis National and Kapodistrian University of Athens
Catherine Sulem
Catherine Sulem University of Toronto
Efim Pelinovsky
Efim Pelinovsky National Research University Higher School of Economics
Edward H. Sargent
Edward H. Sargent Northwestern University
Athanassios S. Fokas
Athanassios S. Fokas University of Cambridge

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