World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
5541
World Ranking
1949
National Ranking
132

Gennady El 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 Gennady El 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: 83 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: 126 publications — 24th percentile

24% of scientists in this discipline score the same or lower.

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

Gennady El 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 Gennady El 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: 138 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: 41 D-Index — 49th percentile

49% of scientists in this discipline score the same or lower.

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

Overview

Gennady El is affiliated with Northumbria University in the United Kingdom and specializes in Physics and Astronomy. Their research primarily focuses on Statistical and Nonlinear Physics, with significant contributions to Atomic and Molecular Physics, and Optics. They have also worked in the fields of Mathematical Physics, Oceanography, and Atmospheric Science.

The scientist's main topics of work include:

  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Advanced Mathematical Physics Problems
  • Advanced Fiber Laser Technologies
  • Ocean Waves and Remote Sensing
  • Meteorological Phenomena and Simulations
  • Oceanographic and Atmospheric Processes

Gennady El has authored several research papers published in recognized venues. Notable publications include:

  • Nonlinear Spectral Synthesis of Soliton Gas in Deep-Water Surface Gravity Waves, 2020, Physical Review Letters
  • Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation, 2020, Physical review. E
  • Soliton gas: Theory, numerics, and experiments, 2024, Physical review. E
  • Soliton gas in bidirectional dispersive hydrodynamics, 2021, Physical review. E
  • Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics, 2023, Studies in Applied Mathematics

The scientist frequently publishes in several key venues with the following distribution of work:

  • arXiv (Cornell University)
  • Physical review. E
  • Physical Review Letters
  • Physical Review Research
  • Studies in Applied Mathematics

Collaborations form an integral part of their research. Frequent co-authors include:

  • Pierre Suret
  • Stéphane Randoux
  • Giacomo Roberti
  • François Copie
  • T. Congy

Best Publications

  • Dispersive shock waves and modulation theory

    Gennady El;Mark Hoefer

  • Kinetic equation for a dense soliton gas

    Gennady El;A.M. Kamchatnov

  • Unsteady undular bores in fully nonlinear shallow-water theory

    Gennady El;Roger Grimshaw;Noel F. Smyth

  • Decay of an initial discontinuity in the defocusing NLS hydrodynamics

    G. A. El;V. V. Geogjaev;A. V. Gurevich;A. L. Krylov

  • Resolution of a shock in hyperbolic systems modified by weak dispersion.

    Gennady El

  • Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws

    Gennady El;Mark Hoefer;Michael Shearer

  • The thermodynamic limit of the Whitham equations

    Gennady El

  • Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.

    Alexey Tikan;Cyril Billet;Gennady El;Alexander Tovbis

  • Undular bore theory for the Gardner equation

    A.M. Kamchatnov;Y.-H. Kuo;Tai-Chia Lin;T.-L. Horng

  • Oblique dark solitons in supersonic flow of a Bose-Einstein condensate

    G. A. El;A. Gammal;A. M. Kamchatnov

  • Inverse scattering transform analysis of rogue waves using local periodization procedure

    Stéphane Randoux;Pierre Suret;Gennady El

  • Nonlinear Evolution of the Locally Induced Modulational Instability in Fiber Optics

    Adrien E. Kraych;Pierre Suret;Gennady El;Stéphane Randoux

  • Theory of optical dispersive shock waves in photorefractive media

    G. A. El;A. Gammal;E. G. Khamis;Roberto André Kraenkel

  • Dam break problem for the focusing nonlinear Schr"odinger equation and the generation of rogue waves

    Gennady A. El;Eduardo G. Khamis;Alexander Tovbis

  • Bound State Soliton Gas Dynamics Underlying the Spontaneous Modulational Instability.

    Andrey Gelash;Andrey Gelash;Dmitry Agafontsev;Dmitry Agafontsev;Vladimir Zakharov;Vladimir Zakharov;Gennady El

  • Two-soliton interaction as an elementary act of soliton turbulence in integrable systems

    Efim N. Pelinovsky;Efim N. Pelinovsky;E.G. Shurgalina;E.G. Shurgalina;A.V. Sergeeva;A.V. Sergeeva;Tatiana G. Talipova;Tatiana G. Talipova

  • Kinetic Equation for a Soliton Gas and Its Hydrodynamic Reductions

    Gennady El;A.M. Kamchatnov;Maxim V. Pavlov;S.A. Zykov;S.A. Zykov

  • Integrable Shallow‐Water Equations and Undular Bores

    G A El;Roger H J Grimshaw;Maxim Pavlov

  • Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves

    Gennady El;Eduardo Khamis;Eduardo Khamis;Alexander Tovbis

  • Nonlinear Spectral Synthesis of Soliton Gas in Deep-Water Surface Gravity Waves.

    Pierre Suret;Alexey Tikan;Félicien Bonnefoy;François Copie

  • Evolution of a Riemann wave in dispersive hydrodynamics

    A. V. Gurevich;A. L. Krylov;G. A. El;D. Ter Haar

Frequent Co-Authors

Roger Grimshaw
Roger Grimshaw Loughborough University
Marco Bertola
Marco Bertola Concordia University
John M. Dudley
John M. Dudley University of Franche-Comté
Thibaut Sylvestre
Thibaut Sylvestre Centre national de la recherche scientifique, CNRS
Goëry Genty
Goëry Genty Tampere University
Miguel Onorato
Miguel Onorato University of Turin
Denys Dutykh
Denys Dutykh Khalifa University
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Efim Pelinovsky
Efim Pelinovsky National Research University Higher School of Economics
Vladimir E. Zakharov
Vladimir E. Zakharov Landau Institute for Theoretical Physics

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