J. C. Eilbeck

8.0k total citations · 2 hit papers
127 papers, 5.7k citations indexed

About

J. C. Eilbeck is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Mathematical Physics. According to data from OpenAlex, J. C. Eilbeck has authored 127 papers receiving a total of 5.7k indexed citations (citations by other indexed papers that have themselves been cited), including 82 papers in Statistical and Nonlinear Physics, 63 papers in Atomic and Molecular Physics, and Optics and 16 papers in Mathematical Physics. Recurrent topics in J. C. Eilbeck's work include Nonlinear Photonic Systems (61 papers), Nonlinear Waves and Solitons (50 papers) and Advanced Fiber Laser Technologies (33 papers). J. C. Eilbeck is often cited by papers focused on Nonlinear Photonic Systems (61 papers), Nonlinear Waves and Solitons (50 papers) and Advanced Fiber Laser Technologies (33 papers). J. C. Eilbeck collaborates with scholars based in United Kingdom, United States and Italy. J. C. Eilbeck's co-authors include John Gibbon, Alwyn Scott, R. K. Dodd, Hedley Morris, P. S. Lomdahl, P. J. Caudrey, F.M. Russell, George McGuire, R. Bullough and V. Z. Enolski and has published in prestigious journals such as Physical Review Letters, Physical review. B, Condensed matter and Applied Physics Letters.

In The Last Decade

J. C. Eilbeck

124 papers receiving 5.4k citations

Hit Papers

Solitons and Nonlinear Wave Equations 1971 2026 1989 2007 1982 1971 400 800 1.2k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Solitons and Nonlinear Wave Equations
    1982 1.4k citations R. K. Dodd, Hedley Morris et al. CERN Document Server (European Organization for Nuclear Research) profile →
  2. Table errata: Higher transcendental functions. Vol. I, II (McGraw-Hill, New York, 1953) by A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi
    1971 561 citations J. C. Eilbeck Mathematics of Computation profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
J. C. Eilbeck United Kingdom 36 3.7k 2.8k 829 618 468 127 5.7k
N. N. Bogolyubov Ukraine 18 1.7k 0.5× 1.8k 0.6× 416 0.5× 528 0.9× 455 1.0× 113 5.6k
Morikazu Toda Japan 22 3.8k 1.0× 2.6k 0.9× 414 0.5× 443 0.7× 211 0.5× 47 6.0k
M. Tabor United States 30 4.9k 1.3× 1.9k 0.7× 552 0.7× 559 0.9× 433 0.9× 60 6.1k
P. L. Christiansen Denmark 39 2.8k 0.8× 2.8k 1.0× 767 0.9× 441 0.7× 204 0.4× 229 4.7k
V. I. Arnold Russia 2 2.8k 0.8× 1000 0.4× 406 0.5× 832 1.3× 576 1.2× 3 5.6k
M. Lakshmanan India 53 9.5k 2.6× 3.8k 1.3× 3.4k 4.0× 920 1.5× 438 0.9× 385 11.3k
D. J. Kaup United States 40 9.1k 2.5× 4.9k 1.7× 461 0.6× 2.0k 3.2× 737 1.6× 198 11.4k
Philip Rosenau Israel 38 3.7k 1.0× 696 0.2× 532 0.6× 1.3k 2.1× 619 1.3× 126 5.6k
Robert M. Miura United States 23 5.3k 1.4× 1.5k 0.5× 262 0.3× 1.6k 2.6× 1.1k 2.4× 62 7.4k
G. M. Zaslavsky United States 36 3.3k 0.9× 1.1k 0.4× 917 1.1× 523 0.8× 542 1.2× 113 5.4k

Countries citing papers authored by J. C. Eilbeck

Since Specialization
Citations

This map shows the geographic impact of J. C. Eilbeck's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by J. C. Eilbeck with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites J. C. Eilbeck more than expected).

Fields of papers citing papers by J. C. Eilbeck

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. C. Eilbeck. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by J. C. Eilbeck. The network helps show where J. C. Eilbeck may publish in the future.

Co-authorship network of co-authors of J. C. Eilbeck

This figure shows the co-authorship network connecting the top 25 collaborators of J. C. Eilbeck. A scholar is included among the top collaborators of J. C. Eilbeck based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with J. C. Eilbeck. J. C. Eilbeck is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Eilbeck, J. C., et al.. (2021). Two-dimensional mobile breather scattering in a hexagonal crystal lattice. Physical review. E. 103(2). 22212–22212. 14 indexed citations
2.
Cuevas–Maraver, Jesús, Bernardo Sánchez-Rey, J. C. Eilbeck, & F.M. Russell. (2016). Interaction of moving discrete breathers with interstitial defects. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 4 indexed citations
3.
Cuevas–Maraver, Jesús, et al.. (2015). Influence of moving breathers on vacancies migration. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 9 indexed citations
4.
Eilbeck, J. C., et al.. (2015). Nonlinear propagating localized modes in a 2D hexagonal crystal lattice. Physica D Nonlinear Phenomena. 301-302. 8–20. 35 indexed citations
5.
Eilbeck, J. C., et al.. (2008). Abelian functions for cyclic trigonal curves of genus 4. Journal of Geometry and Physics. 58(4). 450–467. 31 indexed citations
6.
Eilbeck, J. C., et al.. (2006). Discrete soliton collisions in a waveguide array with saturable nonlinearity. Physics Letters A. 358(1). 15–20. 22 indexed citations
7.
Falvo, Cyril, Vincent Pouthier, & J. C. Eilbeck. (2006). Fast energy transfer mediated by multi-quanta bound states in a nonlinear quantum lattice. Physica D Nonlinear Phenomena. 221(1). 58–71. 7 indexed citations
8.
Dorignac, Jérôme, J. C. Eilbeck, Mario Salerno, & Alwyn Scott. (2004). Quantum Signatures of Breather-Breather Interactions. Physical Review Letters. 93(2). 25504–25504. 46 indexed citations
9.
Eilbeck, J. C. & Magnus Johansson. (2003). THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION — 20 YEARS ON. 44–67. 61 indexed citations
10.
Zolotaryuk, Yaroslav & J. C. Eilbeck. (1998). A breather-like localised mode in a FPU lattice interacting with an electron. Journal of Physics Condensed Matter. 10. 1 indexed citations
11.
Eilbeck, J. C. & Julián López-Gómez. (1997). On the Periodic Lotka–Volterra Competition Model. Journal of Mathematical Analysis and Applications. 210(1). 58–87. 12 indexed citations
12.
Coles, Jonathan A., et al.. (1995). Conditions under which Na+channels can Boost conduction of small graded potentials. Journal of Theoretical Biology. 172(4). 379–386. 8 indexed citations
13.
Eilbeck, J. C., et al.. (1994). Coexistence in the Competition Model with Diffusion. Journal of Differential Equations. 107(1). 96–139. 45 indexed citations
14.
Eilbeck, J. C., P. S. Lomdahl, & Alwyn Scott. (1988). Biomolecular dynamics by computer analysis. Journal of Computational and Applied Mathematics. 22(2-3). 297–299. 2 indexed citations
15.
Carr, J. & J. C. Eilbeck. (1984). One-dimensional approximations for a quadratic Ikeda map. Physics Letters A. 104(2). 59–62. 4 indexed citations
16.
Dodd, R. K., Hedley Morris, J. C. Eilbeck, & John Gibbon. (1982). Solitons and Nonlinear Wave Equations. CERN Document Server (European Organization for Nuclear Research). 1439 indexed citations breakdown →
17.
Eilbeck, J. C., et al.. (1979). Table Errata. Mathematics of Computation. 33(145). 430–431.
18.
Gibbon, John & J. C. Eilbeck. (1972). The asymptotic form of the N soliton solution of the Korteweg-de Vries equation. Journal of physics. A, Proceedings of the Physical Society. General. 5(12). L132–L135. 5 indexed citations
19.
Eilbeck, J. C. & R. Bullough. (1972). The method of characteristics in the theory of resonant or nonresonant nonlinear optics. Journal of physics. A, Proceedings of the Physical Society. General. 5(6). 820–829. 17 indexed citations
20.
Eilbeck, J. C.. (1971). Table errata: Higher transcendental functions. Vol. I, II (McGraw-Hill, New York, 1953) by A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi. Mathematics of Computation. 25(115). 635–635. 561 indexed citations breakdown →

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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