R. K. Dodd

3.3k total citations · 1 hit paper
40 papers, 2.3k citations indexed

About

R. K. Dodd is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Numerical Analysis. According to data from OpenAlex, R. K. Dodd has authored 40 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Statistical and Nonlinear Physics, 14 papers in Geometry and Topology and 9 papers in Numerical Analysis. Recurrent topics in R. K. Dodd's work include Nonlinear Waves and Solitons (32 papers), Nonlinear Photonic Systems (20 papers) and Algebraic structures and combinatorial models (9 papers). R. K. Dodd is often cited by papers focused on Nonlinear Waves and Solitons (32 papers), Nonlinear Photonic Systems (20 papers) and Algebraic structures and combinatorial models (9 papers). R. K. Dodd collaborates with scholars based in Ireland, United Kingdom and United States. R. K. Dodd's co-authors include John Gibbon, Hedley Morris, J. C. Eilbeck, R. Bullough, Allan P. Fordy, P. J. Caudrey and C. D. Collinson and has published in prestigious journals such as Physics Letters A, Journal of Mathematical Physics and Nonlinear Analysis.

In The Last Decade

R. K. Dodd

38 papers receiving 2.1k citations

Hit Papers

Solitons and Nonlinear Wave Equations 1982 2026 1996 2011 1982 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 →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
R. K. Dodd Ireland 13 1.8k 742 385 333 315 40 2.3k
Hedley Morris Ireland 13 1.3k 0.7× 654 0.9× 297 0.8× 235 0.7× 111 0.4× 64 1.9k
G. L. Lamb United States 17 1.6k 0.9× 1.3k 1.7× 284 0.7× 165 0.5× 170 0.5× 38 2.5k
Kimiaki Konno Japan 25 2.6k 1.4× 1.0k 1.4× 410 1.1× 234 0.7× 493 1.6× 68 3.0k
Jarmo Hietarinta Finland 31 3.2k 1.8× 1.1k 1.4× 375 1.0× 328 1.0× 1.3k 4.2× 105 3.8k
D. Levi Italy 33 2.8k 1.6× 553 0.7× 292 0.8× 596 1.8× 775 2.5× 160 3.2k
V.G. Makhankov Russia 20 1.1k 0.6× 586 0.8× 540 1.4× 187 0.6× 63 0.2× 62 1.8k
W. K. Schief Australia 26 1.9k 1.1× 449 0.6× 243 0.6× 226 0.7× 649 2.1× 123 2.3k
Sukeyuki Kumei Canada 14 2.7k 1.5× 421 0.6× 351 0.9× 635 1.9× 585 1.9× 21 3.4k
C. Eugene Wayne United States 24 2.0k 1.1× 533 0.7× 895 2.3× 328 1.0× 122 0.4× 66 2.7k
M. A. Ablowitz United Kingdom 1 4.3k 2.4× 1.1k 1.5× 717 1.9× 416 1.2× 986 3.1× 2 4.5k

Countries citing papers authored by R. K. Dodd

Since Specialization
Citations

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

Fields of papers citing papers by R. K. Dodd

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of R. K. Dodd

This figure shows the co-authorship network connecting the top 25 collaborators of R. K. Dodd. A scholar is included among the top collaborators of R. K. Dodd 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 R. K. Dodd. R. K. Dodd 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.
Dodd, R. K.. (2014). Hirota equations associated with simply laced affine Lie algebras: The cuspidal class E6 of ${\mathfrak {e}}_6^{(1)}$e6(1). Journal of Mathematical Physics. 55(2). 2 indexed citations
2.
Dodd, R. K.. (1998). A New Approach to the Visualization of Tensor Fields. Graphical Models and Image Processing. 60(4). 286–303. 4 indexed citations
3.
Dodd, R. K.. (1997). The symmetry group of the ILW equation and a novel reduction. Physics Letters A. 235(1). 31–34. 1 indexed citations
4.
Dodd, R. K., et al.. (1988). Factorization of zero curvature representations. Journal of Mathematical Physics. 29(11). 2423–2429. 1 indexed citations
5.
Dodd, R. K.. (1988). Factorisation of Backlund transformations. Journal of Physics A Mathematical and General. 21(4). 931–944. 5 indexed citations
6.
Dodd, R. K. & Hedley Morris. (1984). Bäcklund transformations for spherically symmetric solutions to the self-dual Yang–Mills equations. Journal of Mathematical Physics. 25(3). 669–672. 2 indexed citations
7.
Dodd, R. K. & Allan P. Fordy. (1983). The prolongation structures of quasi-polynomial flows. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 385(1789). 389–429. 52 indexed citations
8.
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 →
9.
Dodd, R. K. & Allan P. Fordy. (1982). On the integrability of a system of coupled KdV equations. Physics Letters A. 89(4). 168–170. 87 indexed citations
10.
Dodd, R. K. & Hedley Morris. (1982). Linear deformation problems for the Ernst equation. Journal of Mathematical Physics. 23(6). 1131–1136. 4 indexed citations
11.
Dodd, R. K., et al.. (1980). Perturbation theory for the nearly integrable non-linear equations associated with a modified Zakharov-Shabat scattering problem. Journal of Physics A Mathematical and General. 13(4). 1455–1465. 6 indexed citations
12.
Dodd, R. K. & R. Bullough. (1979). The Generalised Marchenko Equation and the Canonical Structure of the A.K.N.S.-Z.S. Inverse Method. Physica Scripta. 20(3-4). 514–530. 29 indexed citations
13.
Dodd, R. K. & John Gibbon. (1978). The prolongation structure of a higher order Korteweg-de Vries equation. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 358(1694). 287–296. 74 indexed citations
14.
Dodd, R. K. & John Gibbon. (1978). The prolongation structures of a class of nonlinear evolution equations. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 359(1699). 411–433. 10 indexed citations
15.
Dodd, R. K.. (1978). Generalised Backlund transformation for some non-linear partial differential-difference equations. Journal of Physics A Mathematical and General. 11(1). 81–92. 8 indexed citations
16.
Dodd, R. K. & R. Bullough. (1977). Polynomial conserved densities for the sine-Gordon equations. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 352(1671). 481–503. 125 indexed citations
17.
Dodd, R. K. & R. Bullough. (1977). Bäcklund transformations for the A.K.N.S. inverse method. Physics Letters A. 62(2). 70–74. 16 indexed citations
18.
Dodd, R. K. & R. Bullough. (1976). Bäcklund transformations for the sine–Gordon equations. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 351(1667). 499–523. 71 indexed citations
19.
Caudrey, P. J., R. K. Dodd, & John Gibbon. (1976). A new hierarchy of Korteweg–de Vries equations. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 351(1666). 407–422. 212 indexed citations
20.
Dodd, R. K. & R. Bullough. (1975). Families of multisoliton solutions obtained by the inverse method. Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento. 13(9). 313–318. 5 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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