World's Best Scientists 2026 revealed!
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John Christopher Eilbeck

John Christopher Eilbeck

Heriot-Watt University
United Kingdom

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 44 1563 1348 108 94 141 9949

John Christopher Eilbeck publications per year

The chart shows the history of publications by John Christopher Eilbeck between 1970 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. John Christopher Eilbeck published across 56 years, from 1970 to 2025, averaging 2.8 papers a year. Output peaked at 10 publications in 1994. 1 of the 158 publications appeared in the last two years.

No. of publications
2 4 6 8 10
Bar chart. Horizontal axis: year, 1970 to 2025. Vertical axis: number of publications, 0 to 10. Peak 10 publications in 1994. 1970: 1 publication 1971: 1 publication 1972: 5 publications 1973: 5 publications 1974: 3 publications 1975: 3 publications 1976: 1 publication 1977: 3 publications 1978: 1 publication 1979: 0 publications 1980: 0 publications 1981: 5 publications 1982: 4 publications 1983: 1 publication 1984: 2 publications 1985: 6 publications 1986: 4 publications 1987: 1 publication 1988: 2 publications 1989: 3 publications 1990: 4 publications 1991: 5 publications 1992: 9 publications 1993: 8 publications 1994: 10 publications 1995: 7 publications 1996: 1 publication 1997: 4 publications 1998: 3 publications 1999: 1 publication 2000: 8 publications 2001: 5 publications 2002: 1 publication 2003: 4 publications 2004: 6 publications 2005: 4 publications 2006: 5 publications 2007: 1 publication 2008: 4 publications 2009: 1 publication 2010: 6 publications 2011: 2 publications 2012: 0 publications 2013: 0 publications 2014: 2 publications 2015: 1 publication 2016: 0 publications 2017: 1 publication 2018: 0 publications 2019: 0 publications 2020: 2 publications 2021: 0 publications 2022: 0 publications 2023: 1 publication 2024: 0 publications 2025: 1 publication
1970 2025

158 publications in total across all disciplines

View publications per year as a table
John Christopher Eilbeck: publications per year, 1970 to 2025
Year Publications
1970 1
1971 1
1972 5
1973 5
1974 3
1975 3
1976 1
1977 3
1978 1
1979 0
1980 0
1981 5
1982 4
1983 1
1984 2
1985 6
1986 4
1987 1
1988 2
1989 3
1990 4
1991 5
1992 9
1993 8
1994 10
1995 7
1996 1
1997 4
1998 3
1999 1
2000 8
2001 5
2002 1
2003 4
2004 6
2005 4
2006 5
2007 1
2008 4
2009 1
2010 6
2011 2
2012 0
2013 0
2014 2
2015 1
2016 0
2017 1
2018 0
2019 0
2020 2
2021 0
2022 0
2023 1
2024 0
2025 1
Total 158
Download as CSV

John Christopher Eilbeck publications per year - data summary

  • John Christopher Eilbeck, a Mathematics scholar from Heriot-Watt University, has 158 publications recorded across 56 years, from 1970 to 2025.
  • The oldest publication on record dates to 1970 and the most recent to 2025.
  • The most productive year is 1994, with 10 publications.
  • The least productive years with any output are 1970, 1971, 1976, 1978 and others, with 1 publication each.
  • 10 of the 56 years in the span carry no publications at all (1979, 1980, 2012, 2013 and others).
  • The rate of publication averages 2.8 papers per year over the whole span, or 3.4 per year counting only the 46 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 2 publications, 1% of the career total.
  • Split into equal eras - 1970-1988: 48 publications (2.5 per year); 1989-2007: 89 publications (4.7 per year); 2008-2025: 21 publications (1.2 per year).
  • Comparing the opening and closing eras, the overall trend of publication is declining.

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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 137–141 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98 141
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

John Christopher Eilbeck publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • John Christopher Eilbeck, a Mathematics scholar from Heriot-Watt University, records 141 publications - the 33rd percentile of the discipline.
  • 33% of ranked Mathematics scientists score the same or lower than John Christopher Eilbeck, and about 67% score higher.
  • The median of the discipline falls in the 172–176 publications range, and John Christopher Eilbeck ranks below the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 44 D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115 44
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

John Christopher Eilbeck D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • John Christopher Eilbeck, a Mathematics scholar from Heriot-Watt University, records 44 D-Index - the 58th percentile of the discipline.
  • 58% of ranked Mathematics scientists score the same or lower than John Christopher Eilbeck, and about 42% score higher.
  • The median of the discipline falls in the 42 D-Index range, and John Christopher Eilbeck ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

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

External Links

Personal website of John Christopher Eilbeck Google Scholar page

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Best Scientists Citing John Christopher Eilbeck

Boris A. Malomed

Boris A. Malomed

Tel Aviv University

Publications: 51

Sergey V. Dmitriev

Sergey V. Dmitriev

Russian Academy of Sciences

Publications: 46

Panayotis G. Kevrekidis

Panayotis G. Kevrekidis

University of Massachusetts Amherst

Publications: 42

Peter Leth Christiansen

Peter Leth Christiansen

Technical University of Denmark

Publications: 39

Manuel G. Velarde

Manuel G. Velarde

Complutense University of Madrid

Publications: 29

Julián López-Gómez

Julián López-Gómez

Complutense University of Madrid

Publications: 28

Werner Ebeling

Werner Ebeling

Humboldt-Universität zu Berlin

Publications: 23

Yuri S. Kivshar

Yuri S. Kivshar

Australian National University

Publications: 19

Víctor M. Pérez-García

Víctor M. Pérez-García

University of Castilla-La Mancha

Publications: 15

Fritz Gesztesy

Fritz Gesztesy

Baylor University

Publications: 15

Dumitru Mihalache

Dumitru Mihalache

University of Angers

Publications: 14

Dmitry E. Pelinovsky

Dmitry E. Pelinovsky

McMaster University

Publications: 13

Xinyuan Wu

Xinyuan Wu

Nanjing University

Publications: 13

Wen-Xiu Ma

Wen-Xiu Ma

University of South Florida

Publications: 13

Pedro J. Torres

Pedro J. Torres

University of Granada

Publications: 13

Mark J. Ablowitz

Mark J. Ablowitz

University of Colorado Boulder

Publications: 11

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