World's Best Scientists 2026 revealed!
John Christopher Eilbeck

John Christopher Eilbeck

D-Index & Metrics

Mathematics

D-Index
44
Citations
9949
World Ranking
1563
National Ranking
108

John Christopher Eilbeck 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 John Christopher Eilbeck 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: 141 publications — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

John Christopher Eilbeck 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 John Christopher Eilbeck 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: 44 D-Index — 58th percentile

58% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 1987 - Fellow of the Royal Society of Edinburgh

Overview

John Christopher Eilbeck is affiliated with Heriot-Watt University in the United Kingdom and conducts research primarily within the field of Physics and Astronomy. Their work spans several subfields, including Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, Molecular Biology, Mathematical Physics, and Computational Theory and Mathematics.

The research topics addressed in their publications include:

  • Nonlinear Photonic Systems
  • Advanced Fiber Laser Technologies
  • Cold Atom Physics and Bose-Einstein Condensates
  • Advanced mathematical theories
  • Model Reduction and Neural Networks
  • Advanced Mathematical Modeling in Engineering
  • Stroke Rehabilitation and Recovery

Recent papers featuring John Christopher Eilbeck as an author cover a range of topics and publication venues:

  • "Two-dimensional mobile breather scattering in a hexagonal crystal lattice," 2021, Physical Review. E
  • "Theory of heat equations for sigma functions," 2025, Glasgow Mathematical Journal
  • "Statistical Evidence for a Helical Nascent Chain," 2021, Biomolecules
  • "Data mining versus manual screening to select papers for inclusion in systematic reviews: a novel method to increase efficiency," 2023, International Journal of Rehabilitation Research

Their frequent collaborators include researchers such as Jānis Bajārs, Benedict Leimkuhler, John Gibbons, Yoshihiro Ônishi, and Seidai Yasuda.

Publications have appeared in venues including:

  • Physical Review. E
  • Glasgow Mathematical Journal
  • International Journal of Rehabilitation Research
  • Biomolecules

John Christopher Eilbeck's contributions extend into interdisciplinary areas involving molecular biology alongside core physics studies. Their work covers theoretical developments and computational methods with potential applications in engineering and rehabilitation.

In recognition of their work, they were awarded the title of Fellow of the Royal Society of Edinburgh in 1987.

Best Publications

  • Solitons and Nonlinear Wave Equations

    R. K. Dodd;H. C. Morris;J. C. Eilbeck;J. D. Gibbon

  • The discrete self-trapping equation

    J.C. Eilbeck;P.S. Lomdahl;A.C. Scott

  • Solitons in nonlinear optics. I. A more accurate description of the 2π pulse in self-induced transparency

    J C Eilbeck;J D Gibbon;P J Caudrey;R K Bullough

  • The sine-Gordon equation as a model classical field theory

    P. J. Caudrey;J. C. Eilbeck;J. D. Gibbon

  • Numerical study of the regularized long-wave equation I: Numerical methods

    J.C. Eilbeck;G.R. McGuire

  • Numerical Study of the Regularized Long-Wave Equation. II: Interaction of Solitary Waves

    J.C Eilbeck;G.R McGuire

  • Quantum lattice solitons

    A. C. Scott;A. C. Scott;J. C. Eilbeck;H. Gilhøj

  • Solitons on lattices

    D. B. Duncan;J. C. Eilbeck;H. Feddersen;J. A. D. Wattis

  • Evidence for moving breathers in a layered crystal insulator at 300?K

    Fiona E M Russell;John Christopher Eilbeck

  • The quantum theory of local modes in a coupled system of nonlinear oscillators

    L Bernstein;J C Eilbeck;A C Scott

  • Localized moving breathers in a 2D hexagonal lattice

    J L Marin;John Christopher Eilbeck;F M Russell

  • Exact Multisoliton Solutions of the Self-Induced Transparency and Sine-Gordon Equations

    P. J. Caudrey;J. D. Gibbon;J. C. Eilbeck;R. K. Bullough

  • Calculation of families of solitary waves on discrete lattices

    J.C. Eilbeck;R. Flesch

  • Linear r-matrix algebra for classical separable systems

    J. C. Eilbeck;V. Z. Enol'skii;Vadim B. Kuznetsov;A. V. Tsiganov

  • Between the local-mode and normal-mode limits

    A.C. Scott;P.S. Lomdahl;J.C. Eilbeck

  • Future Directions of Nonlinear Dynamics in PhysicaL and Biological Systems

    P. L. Christiansen;J. C. Eilbeck;R. D. Parmentier

  • The quantized discrete self-trapping equation

    Alwyn C. Scott;J. C. Eilbeck

  • Quasi–periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type

    P. L. Christiansen;John Christopher Eilbeck;V. Z. Enol'skii;N. A. Kostov

  • Quasi-Periodic and Periodic Solutions for Systems of Coupled Nonlinear SCHR"Odinger Equations

    P. L. Christiansen;J. C. Eilbeck;V. Z. Enolskii;N. A. Kostov

  • Existence and uniqueness of coexistence states for a predator-prey model with diffusion

    A. Casal;J. C. Eilbeck;J. López-Gómez

  • Evidence for moving breathers in a layered crystal insulator at 300K

    F. M. Russell;J. C. Eilbeck

Frequent Co-Authors

John D. Gibbon
John D. Gibbon Imperial College London
Peter Leth Christiansen
Peter Leth Christiansen Technical University of Denmark
Julián López-Gómez
Julián López-Gómez Complutense University of Madrid
Vladimir E. Zakharov
Vladimir E. Zakharov Landau Institute for Theoretical Physics
Benedict Leimkuhler
Benedict Leimkuhler University of Edinburgh
Sergei K. Turitsyn
Sergei K. Turitsyn Aston University
Thierry Dauxois
Thierry Dauxois École Normale Supérieure de Lyon
Ewan M. Wright
Ewan M. Wright University of Arizona
Alan C. Newell
Alan C. Newell University of Arizona

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