C. R. Gilson

2.1k total citations
45 papers, 1.6k citations indexed

About

C. R. Gilson is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Geometry and Topology. According to data from OpenAlex, C. R. Gilson has authored 45 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Statistical and Nonlinear Physics, 18 papers in Atomic and Molecular Physics, and Optics and 12 papers in Geometry and Topology. Recurrent topics in C. R. Gilson's work include Nonlinear Waves and Solitons (29 papers), Nonlinear Photonic Systems (24 papers) and Algebraic structures and combinatorial models (12 papers). C. R. Gilson is often cited by papers focused on Nonlinear Waves and Solitons (29 papers), Nonlinear Photonic Systems (24 papers) and Algebraic structures and combinatorial models (12 papers). C. R. Gilson collaborates with scholars based in United Kingdom, Japan and United States. C. R. Gilson's co-authors include J. J. C. Nimmo, Stephen M. Barnett, Ralph Willox, Franklin Lambert, Yuichi Ohta, Erika Andersson, Jarmo Hietarinta, Fiona C. Speirits, Andrew Pickering and Robert P. Cameron and has published in prestigious journals such as Physical Review Letters, Physical Review A and Communications in Mathematical Physics.

In The Last Decade

C. R. Gilson

42 papers receiving 1.5k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
C. R. Gilson United Kingdom 20 1.1k 662 459 336 146 45 1.6k
J. Negro Spain 21 985 0.9× 1.0k 1.5× 142 0.3× 77 0.2× 61 0.4× 98 1.4k
Ji Lin China 24 1.7k 1.5× 715 1.1× 417 0.9× 34 0.1× 277 1.9× 148 1.9k
P. J. Caudrey United Kingdom 16 895 0.8× 506 0.8× 160 0.3× 35 0.1× 107 0.7× 27 1.1k
Manuel F. Rañada Spain 19 1.1k 1.0× 854 1.3× 192 0.4× 30 0.1× 50 0.3× 84 1.4k
G. Soliani Italy 14 626 0.6× 288 0.4× 147 0.3× 42 0.1× 37 0.3× 102 935
Sven Gnutzmann∥ Germany 18 577 0.5× 533 0.8× 86 0.2× 182 0.5× 12 0.1× 39 926
Ryu Sasaki Japan 16 779 0.7× 386 0.6× 395 0.9× 63 0.2× 15 0.1× 64 1.0k
V. S. Shchesnovich Brazil 20 533 0.5× 800 1.2× 56 0.1× 370 1.1× 11 0.1× 66 1.1k
Mariano Santander Spain 18 847 0.8× 665 1.0× 190 0.4× 34 0.1× 20 0.1× 66 1.1k
A. G. Nikitin Ukraine 16 599 0.5× 520 0.8× 97 0.2× 17 0.1× 56 0.4× 89 917

Countries citing papers authored by C. R. Gilson

Since Specialization
Citations

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

Fields of papers citing papers by C. R. Gilson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by C. R. Gilson. 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 C. R. Gilson. The network helps show where C. R. Gilson may publish in the future.

Co-authorship network of co-authors of C. R. Gilson

This figure shows the co-authorship network connecting the top 25 collaborators of C. R. Gilson. A scholar is included among the top collaborators of C. R. Gilson 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 C. R. Gilson. C. R. Gilson 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.
Gilson, C. R., Shi‐Hao Li, & Ying Shi. (2025). Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation. Nonlinearity. 38(6). 65003–65003.
2.
Gilson, C. R., et al.. (2020). Soliton solutions of noncommutative anti-self-dual Yang–Mills equations. Journal of Physics A Mathematical and Theoretical. 53(40). 404002–404002. 7 indexed citations
3.
Radha, R., et al.. (2009). The collision of multimode dromions and a firewall in the two-component long-wave–short-wave resonance interaction equation. Journal of Physics A Mathematical and Theoretical. 42(10). 102002–102002. 26 indexed citations
4.
Croke, Sarah, Erika Andersson, Stephen M. Barnett, C. R. Gilson, & John Jeffers. (2006). Maximum Confidence Quantum Measurements. Physical Review Letters. 96(7). 70401–70401. 106 indexed citations
5.
Gilson, C. R., Jarmo Hietarinta, J. J. C. Nimmo, & Yuichi Ohta. (2003). Sasa-Satsuma higher-order nonlinear Schrödinger equation and its bilinearization and multisoliton solutions. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 68(1). 16614–16614. 151 indexed citations
6.
Gilson, C. R., Xing‐Biao Hu, & Stephen M. Barnett. (2002). On multiple soliton solutions of some simple differential-difference equations. Inverse Problems. 18(6). 1499–1508. 3 indexed citations
7.
Gilson, C. R.. (2002). Generalizing the KP Hierarchies: Pfaffian Hierarchies. Theoretical and Mathematical Physics. 133(3). 1663–1674. 31 indexed citations
8.
Andersson, Erika, et al.. (2002). Minimum-error discrimination between three mirror-symmetric states. Physical Review A. 65(5). 78 indexed citations
9.
Gilson, C. R., et al.. (2002). Обобщение иерархий КП: пфаффианизованные иерархии. Теоретическая и математическая физика. 133(3). 405–418. 2 indexed citations
10.
Gilson, C. R., et al.. (2001). Pfaffianization of the discrete KP equation. Journal of Physics A Mathematical and General. 34(48). 10569–10575. 47 indexed citations
11.
Chefles, Anthony, C. R. Gilson, & Stephen M. Barnett. (2001). Entanglement, information, and multiparticle quantum operations. Physical Review A. 63(3). 18 indexed citations
12.
Nimmo, J. J. C., et al.. (2000). Applications of Darboux transformations to the self-dual Yang-Mills equations. Theoretical and Mathematical Physics. 122(2). 239–246. 42 indexed citations
13.
Nimmo, J. J. C., et al.. (2000). Применения преобразований Дарбу к самодуальным уравнениям Янга - Миллса. Теоретическая и математическая физика. 122(2). 284–293. 5 indexed citations
14.
Gilson, C. R. & Andrew Pickering. (1995). Factorization and Painleve analysis of a class of nonlinear third-order partial differential equations. Journal of Physics A Mathematical and General. 28(10). 2871–2888. 69 indexed citations
15.
Gilson, C. R., J. J. C. Nimmo, & Ralph Willox. (1993). A (2 + 1)-dimensional generalization of the AKNS shallow water wave equation. Physics Letters A. 180(4-5). 337–345. 51 indexed citations
16.
Gilson, C. R.. (1992). Resonant behaviour in the Davey-Stewartson equation. Physics Letters A. 161(5). 423–428. 45 indexed citations
17.
Gilson, C. R. & J. J. C. Nimmo. (1991). A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 435(1894). 339–357. 27 indexed citations
18.
Barnett, Stephen M. & C. R. Gilson. (1990). Quantum Electrodynamic Bound on Squeezing. Europhysics Letters (EPL). 12(4). 325–328. 3 indexed citations
19.
Freeman, N. C., C. R. Gilson, & J. J. C. Nimmo. (1990). Two-component KP hierarchy and the classical Boussinesq equation. Journal of Physics A Mathematical and General. 23(21). 4793–4804. 10 indexed citations
20.
Gilson, C. R., et al.. (1986). Self duality in super Yang-Mills theories. Communications in Mathematical Physics. 107(3). 377–389. 14 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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