Peter A. Clarkson

13.3k total citations · 2 hit papers
105 papers, 8.9k citations indexed

About

Peter A. Clarkson is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Peter A. Clarkson has authored 105 papers receiving a total of 8.9k indexed citations (citations by other indexed papers that have themselves been cited), including 93 papers in Statistical and Nonlinear Physics, 39 papers in Geometry and Topology and 15 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Peter A. Clarkson's work include Nonlinear Waves and Solitons (90 papers), Nonlinear Photonic Systems (54 papers) and Algebraic structures and combinatorial models (28 papers). Peter A. Clarkson is often cited by papers focused on Nonlinear Waves and Solitons (90 papers), Nonlinear Photonic Systems (54 papers) and Algebraic structures and combinatorial models (28 papers). Peter A. Clarkson collaborates with scholars based in United Kingdom, United States and Australia. Peter A. Clarkson's co-authors include M. A. Ablowitz, Martin D. Kruskal, Elizabeth L. Mansfield, Andrew P. Bassom, M. C. Nucci, C M Cosgrove, Jack A. Tuszyński, Adrian Ankiewicz, Mark J. Ablowitz and Nail Akhmediev and has published in prestigious journals such as Physical Review Letters, Computer Physics Communications and Physics Letters A.

In The Last Decade

Peter A. Clarkson

102 papers receiving 8.3k citations

Hit Papers

align trajectories sort by overperformance

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.

Solitons, Nonlinear Evolution Equations and Inverse Scattering

1991 4.5k citations Peter A. Clarkson et al. profile →
New similarity reductions of the Boussinesq equation

1989 778 citations Peter A. Clarkson et al. profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Peter A. Clarkson	8.1k	2.1k	1.9k	1.8k	1.3k	105	8.9k
Miki Wadati	7.7k 0.9×	2.7k 1.3×	4.0k 2.1×	1.0k 0.6×	1.9k 1.5×	341	10.6k
Engui Fan	8.3k 1.0×	2.0k 1.0×	1.5k 0.8×	2.7k 1.5×	1.2k 0.9×	222	8.6k
Nikolay A. Kudryashov	9.3k 1.1×	1.5k 0.7×	3.6k 1.9×	2.2k 1.2×	1.0k 0.8×	386	10.5k
Junkichi Satsuma	6.3k 0.8×	2.0k 0.9×	1.7k 0.9×	988 0.5×	1.1k 0.9×	134	7.0k
Ryogo Hirota	12.7k 1.6×	3.7k 1.7×	3.4k 1.8×	2.5k 1.4×	1.8k 1.4×	104	13.5k
George W. Bluman	5.8k 0.7×	1.3k 0.6×	742 0.4×	1.5k 0.8×	850 0.7×	73	7.1k
Harvey Segur	9.8k 1.2×	1.8k 0.9×	2.9k 1.5×	798 0.4×	2.4k 1.9×	70	11.5k
V. B. Matveev	5.4k 0.7×	1.5k 0.7×	1.8k 0.9×	673 0.4×	1.1k 0.8×	82	5.8k
Sen‐Yue Lou	8.4k 1.0×	2.4k 1.1×	2.5k 1.3×	1.3k 0.7×	891 0.7×	281	8.6k
A. Ramani	5.7k 0.7×	2.9k 1.3×	694 0.4×	604 0.3×	684 0.5×	236	6.6k

Countries citing papers authored by Peter A. Clarkson

Since Specialization

Citations

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

Fields of papers citing papers by Peter A. Clarkson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter A. Clarkson. 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 Peter A. Clarkson. The network helps show where Peter A. Clarkson may publish in the future.

Co-authorship network of co-authors of Peter A. Clarkson

This figure shows the co-authorship network connecting the top 25 collaborators of Peter A. Clarkson. A scholar is included among the top collaborators of Peter A. Clarkson 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 Peter A. Clarkson. Peter A. Clarkson is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Clarkson, Peter A., et al.. (2025). Special solutions of a discrete Painlevé equation for quantum minimal surfaces. Theoretical and Mathematical Physics. 224(2). 1359–1397. 1 indexed citations

Clarkson, Peter A., et al.. (2025). Symmetric sextic Freud weight. Nonlinearity. 38(12). 125011–125011.

Clarkson, Peter A., et al.. (2023). A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation. Symmetry Integrability and Geometry Methods and Applications. 1 indexed citations

Clarkson, Peter A. & Clare Dunning. (2023). Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials. Studies in Applied Mathematics. 152(1). 453–507. 5 indexed citations

Clarkson, Peter A.. (2023). Classical solutions of the degenerate fifth Painlevé equation. Journal of Physics A Mathematical and Theoretical. 56(13). 134002–134002. 6 indexed citations

Clarkson, Peter A.. (2019). Open Problems for Painlevé Equations. Symmetry Integrability and Geometry Methods and Applications. 4 indexed citations

Rogers, C., Andrew P. Bassom, & Peter A. Clarkson. (2018). On integrable Ermakov–Painlevé IV systems. Journal of Mathematical Analysis and Applications. 462(2). 1225–1241. 4 indexed citations

Ankiewicz, Adrian, et al.. (2017). Multi-rogue waves and triangular numbers. Studies in Applied Mathematics. 22 indexed citations

Rogers, C. & Peter A. Clarkson. (2017). Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. Symmetry Integrability and Geometry Methods and Applications. 6 indexed citations

10.

Clarkson, Peter A.. (2004). Special polynomials associated with rational solutions of the fifth Painlevé equation. Journal of Computational and Applied Mathematics. 178(1-2). 111–129. 16 indexed citations

11.

Clarkson, Peter A.. (2003). Painlevé equations—nonlinear special functions. Journal of Computational and Applied Mathematics. 153(1-2). 127–140. 89 indexed citations

12.

Clarkson, Peter A. & Elizabeth L. Mansfield. (2001). Open problems in symmetry analysis. Contemporary mathematics - American Mathematical Society. 195–205. 6 indexed citations

13.

Dixon, J.M., Jack A. Tuszyński, & Peter A. Clarkson. (1997). From nonlinearity to coherence : universal features of nonlinear behaviour in many-body physics. Oxford University Press eBooks. 15 indexed citations

14.

Mansfield, Elizabeth L. & Peter A. Clarkson. (1997). Applications of the Differential Algebra Packagediffgrob2to Classical Symmetries of Differential Equations. Journal of Symbolic Computation. 23(5-6). 517–533. 25 indexed citations

15.

Dixon, J.M., Jack A. Tuszyński, & Peter A. Clarkson. (1997). From Nonlinearity to Coherence. 12 indexed citations

16.

Clarkson, Peter A. & Peter J. Olver. (1996). Symmetry and the Chazy Equation. Journal of Differential Equations. 124(1). 225–246. 68 indexed citations

17.

Clarkson, Peter A., et al.. (1994). Symmetry Reductions, Exact Solutions, and Painlevé Analysis for a Generalized Boussinesq Equation. Journal of Mathematical Analysis and Applications. 186(1). 132–155. 16 indexed citations

18.

Clarkson, Peter A.. (1993). Nonclassical symmetry reductions of nonlinear partial differential equations. Mathematical and Computer Modelling. 18(10). 45–68. 16 indexed citations

19.

Bassom, Andrew P., et al.. (1992). Integral equations and exact solutions for the fourth Painlevé equation. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 437(1899). 1–24. 23 indexed citations

20.

Clarkson, Peter A.. (1988). Painlevé analysis of the damped, driven nonlinear Schrödinger equation. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 109(1-2). 109–126. 58 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.

Explore authors with similar magnitude of impact