John Gibbons

1.9k total citations
34 papers, 1.1k citations indexed

About

John Gibbons is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, John Gibbons has authored 34 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Statistical and Nonlinear Physics, 17 papers in Geometry and Topology and 8 papers in Mathematical Physics. Recurrent topics in John Gibbons's work include Nonlinear Waves and Solitons (22 papers), Nonlinear Photonic Systems (8 papers) and Algebraic structures and combinatorial models (7 papers). John Gibbons is often cited by papers focused on Nonlinear Waves and Solitons (22 papers), Nonlinear Photonic Systems (8 papers) and Algebraic structures and combinatorial models (7 papers). John Gibbons collaborates with scholars based in United Kingdom, United States and Ireland. John Gibbons's co-authors include Allan P. Fordy, S. P. Tsarëv, Yuji Kodama, Boris A. Kupershmidt, Darryl D. Holm, Cesare Tronci, Lei Yu, Yuki ONISHI, J. C. Eilbeck and S. Wojciechowski and has published in prestigious journals such as Communications in Mathematical Physics, Physics Letters A and Physics of Fluids.

In The Last Decade

John Gibbons

30 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
John Gibbons United Kingdom 15 967 560 214 131 124 34 1.1k
V. Z. Enolski United Kingdom 22 770 0.8× 508 0.9× 244 1.1× 140 1.1× 330 2.7× 80 1.2k
A. V. Kitaev Russia 18 769 0.8× 474 0.8× 272 1.3× 61 0.5× 116 0.9× 58 1.2k
P. M. Santini Italy 22 1.6k 1.6× 449 0.8× 399 1.9× 68 0.5× 417 3.4× 62 1.7k
M. V. Pavlov Russia 16 774 0.8× 304 0.5× 271 1.3× 47 0.4× 114 0.9× 80 896
Franco Magri Italy 16 1.4k 1.4× 794 1.4× 487 2.3× 170 1.3× 165 1.3× 44 1.7k
Ryu Sasaki Japan 16 779 0.8× 395 0.7× 95 0.4× 277 2.1× 386 3.1× 64 1.0k
Y. Nutku Türkiye 20 733 0.8× 278 0.5× 126 0.6× 537 4.1× 109 0.9× 55 1.2k
C.-M. Viallet France 18 693 0.7× 601 1.1× 281 1.3× 559 4.3× 141 1.1× 38 1.3k
T. Miwa Japan 19 635 0.7× 839 1.5× 245 1.1× 202 1.5× 208 1.7× 46 1.1k
Sarbarish Chakravarty United States 18 788 0.8× 248 0.4× 162 0.8× 103 0.8× 293 2.4× 47 953

Countries citing papers authored by John Gibbons

Since Specialization
Citations

This map shows the geographic impact of John Gibbons'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 John Gibbons with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites John Gibbons more than expected).

Fields of papers citing papers by John Gibbons

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by John Gibbons. 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 John Gibbons. The network helps show where John Gibbons may publish in the future.

Co-authorship network of co-authors of John Gibbons

This figure shows the co-authorship network connecting the top 25 collaborators of John Gibbons. A scholar is included among the top collaborators of John Gibbons 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 John Gibbons. John Gibbons 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.. (2025). Theory of heat equations for sigma functions. Glasgow Mathematical Journal. 67(3). 365–422.
2.
Gibbons, John, et al.. (2024). Delay Painlevé-I equation, associated polynomials and Masur-Veech volumes. Journal of Geometry and Physics. 202. 105225–105225.
3.
Gibbons, John, et al.. (2010). Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type. Journal of Geometry and Physics. 60(9). 1112–1126. 1 indexed citations
4.
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
5.
Gibbons, John, Darryl D. Holm, & Cesare Tronci. (2008). Geometry of Vlasov kinetic moments: A bosonic Fock space for the symmetric Schouten bracket. Physics Letters A. 372(23). 4184–4196. 13 indexed citations
6.
Gibbons, John, et al.. (2007). Differential geometry of hydrodynamic Vlasov equations. Journal of Geometry and Physics. 57(9). 1815–1828. 5 indexed citations
7.
Baker, Shirley, et al.. (2000). Polarization dynamics of solitons in birefringent fibers. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 62(3). 4325–4332. 3 indexed citations
8.
Yu, Lei & John Gibbons. (2000). The initial value problem for reductions of the Benney equations. Inverse Problems. 16(3). 605–618. 17 indexed citations
9.
Gibbon, John, et al.. (1997). A logarithmic 3d Euler inequality. Physics of Fluids. 9(2). 471–472. 1 indexed citations
10.
Gibbons, John & S. P. Tsarëv. (1996). Reductions of the Benney equations. Physics Letters A. 211(1). 19–24. 111 indexed citations
11.
Gibbons, John & Boris A. Kupershmidt. (1992). Time discretizations of lattice integrable systems. Physics Letters A. 165(2). 105–110. 6 indexed citations
12.
Kodama, Yuji & John Gibbons. (1989). A method for solving the dispersionless KP hierarchy and its exact solutions. II. Physics Letters A. 135(3). 167–170. 87 indexed citations
13.
Gibbons, John, et al.. (1983). A Bäcklund transformation for a generalised Calogero-Moser system. Physics Letters A. 94(6-7). 251–253. 7 indexed citations
14.
Gibbons, John, Darryl D. Holm, & Boris A. Kupershmidt. (1982). Gauge-invariant poisson brackets for chromohydrodynamics. Physics Letters A. 90(6). 281–283. 30 indexed citations
15.
Fordy, Allan P. & John Gibbons. (1981). Factorization of operators.II. Journal of Mathematical Physics. 22(6). 1170–1175. 86 indexed citations
16.
Fordy, Allan P. & John Gibbons. (1980). Factorization of operators I. Miura transformations. Journal of Mathematical Physics. 21(10). 2508–2510. 89 indexed citations
17.
Fordy, Allan P. & John Gibbons. (1980). Integrable nonlinear Klein-Gordon equations and Toda lattices. Communications in Mathematical Physics. 77(1). 21–30. 106 indexed citations
18.
Fordy, Allan P. & John Gibbons. (1980). Some remarkable nonlinear transformations. Physics Letters A. 75(5). 325–325. 108 indexed citations
19.
Gibbons, John & Boris A. Kupershmidt. (1980). A linear scattering problem for the finite depth equation. Physics Letters A. 79(1). 31–32. 13 indexed citations
20.
Gibbons, John. (1955). SOME EXACT SOLUTIONS OF THE LORENTZ INVARIANT PROBLEM OF THE MOTION OF TWO ELECTRIC FLUIDS. Canadian Journal of Physics. 33(12). 819–823. 1 indexed citations

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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