R. S. Johnson

7.7k total citations · 4 hit papers
90 papers, 5.7k citations indexed

About

R. S. Johnson is a scholar working on Oceanography, Statistical and Nonlinear Physics and Atmospheric Science. According to data from OpenAlex, R. S. Johnson has authored 90 papers receiving a total of 5.7k indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Oceanography, 33 papers in Statistical and Nonlinear Physics and 19 papers in Atmospheric Science. Recurrent topics in R. S. Johnson's work include Ocean Waves and Remote Sensing (38 papers), Nonlinear Waves and Solitons (27 papers) and Oceanographic and Atmospheric Processes (21 papers). R. S. Johnson is often cited by papers focused on Ocean Waves and Remote Sensing (38 papers), Nonlinear Waves and Solitons (27 papers) and Oceanographic and Atmospheric Processes (21 papers). R. S. Johnson collaborates with scholars based in United Kingdom, Austria and United States. R. S. Johnson's co-authors include P. G. Drazin, Adrian Constantin, S. Thompson, N. C. Freeman, Joseph C. Mollendorf, Candyce S. Berger, John Gibbon, B. Gebhart, David Swailes and Yu. A. Sergeev and has published in prestigious journals such as Journal of Fluid Mechanics, Journal of the Atmospheric Sciences and International Journal of Heat and Mass Transfer.

In The Last Decade

R. S. Johnson

82 papers receiving 5.2k citations

Hit Papers

align trajectories

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: An introduction

1989 856 citations R. S. Johnson et al. profile →
Solitons

1989 649 citations R. S. Johnson et al. profile →
Camassa–Holm, Korteweg–de Vries and related models for water waves

2002 621 citations R. S. Johnson Journal of Fluid Mechanics profile →
A Modern Introduction to the Mathematical Theory of Water Waves

1997 519 citations R. S. Johnson profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
R. S. Johnson United Kingdom	33	3.5k	1.7k	1.1k	799	766	90	5.7k
Roger Grimshaw United Kingdom	48	4.2k 1.2×	4.2k 2.4×	1.2k 1.1×	1.6k 2.0×	1.2k 1.5×	373	8.6k
Roberto Camassa United States	26	3.3k 1.0×	917 0.5×	1.3k 1.1×	471 0.6×	219 0.3×	80	4.7k
Efim Pelinovsky Russia	49	3.2k 0.9×	3.9k 2.2×	588 0.5×	2.5k 3.1×	1.1k 1.4×	395	8.4k
Harvey Segur United States	33	9.8k 2.8×	1.1k 0.6×	2.4k 2.1×	476 0.6×	2.9k 3.8×	70	11.5k
Jerry L. Bona United States	45	5.5k 1.6×	821 0.5×	5.4k 4.7×	521 0.7×	220 0.3×	147	8.0k
Catherine Sulem Canada	30	2.1k 0.6×	781 0.4×	2.0k 1.8×	479 0.6×	746 1.0×	78	4.2k
D. J. Benney United States	29	1.6k 0.4×	1.3k 0.7×	542 0.5×	551 0.7×	394 0.5×	60	4.2k
Frédéric Dias France	48	3.1k 0.9×	2.7k 1.6×	527 0.5×	2.7k 3.4×	2.3k 3.0×	266	8.9k
A. R. Osborne Italy	31	2.1k 0.6×	2.3k 1.3×	221 0.2×	1.1k 1.4×	744 1.0×	79	4.6k
P. G. Drazin United Kingdom	29	1.4k 0.4×	824 0.5×	324 0.3×	251 0.3×	607 0.8×	73	6.5k

Countries citing papers authored by R. S. Johnson

Since Specialization

Citations

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

Fields of papers citing papers by R. S. Johnson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of R. S. Johnson

This figure shows the co-authorship network connecting the top 25 collaborators of R. S. Johnson. A scholar is included among the top collaborators of R. S. Johnson 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. S. Johnson. R. S. Johnson 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

Constantin, Adrian & R. S. Johnson. (2025). On hurricane dynamics. Journal of Differential Equations. 431. 113193–113193.

Johnson, R. S.. (2024). The Transpolar Drift current: an ocean-ice-wind complex in rotating, spherical coordinates. Monatshefte für Mathematik. 205(4). 735–755. 1 indexed citations

Constantin, Adrian & R. S. Johnson. (2023). Atmospheric undular bores. Mathematische Annalen. 388(4). 4011–4036. 15 indexed citations

Johnson, R. S.. (2022). The ocean and the atmosphere: An applied mathematician's view. Communications on Pure & Applied Analysis. 21(7). 2357–2357. 5 indexed citations

Constantin, Adrian & R. S. Johnson. (2018). Steady Large-Scale Ocean Flows in Spherical Coordinates. Oceanography. 31(3). 42–50. 47 indexed citations

Johnson, R. S.. (2017). Application of the ideas and techniques of classical fluid mechanics to some problems in physical oceanography. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 376(2111). 20170092–20170092. 36 indexed citations

Constantin, Adrian & R. S. Johnson. (2015). The dynamics of waves interacting with the Equatorial Undercurrent. Geophysical & Astrophysical Fluid Dynamics. 109(4). 311–358. 180 indexed citations

Johnson, R. S.. (2015). An ocean undercurrent, a thermocline, a free surface, with waves: a problem in classical fluid mechanics. Journal of Nonlinear Mathematical Physics. 22(4). 475–475. 14 indexed citations

Johnson, R. S.. (2002). Camassa–Holm, Korteweg–de Vries and related models for water waves. Journal of Fluid Mechanics. 455. 63–82. 621 indexed citations breakdown →

10.

Johnson, R. S. & Candyce S. Berger. (1990). The Challenge of Change: Enhancing Social Work Services at a Time of Cutback. Health & Social Work. 15(3). 181–190. 14 indexed citations

11.

Markuszewski, R., et al.. (1983). Rapid dissolution of coal for analysis for sulfur, iron, and other elements. 10(8). e29388–e29388. 1 indexed citations

12.

Johnson, R. S.. (1979). On the inverse scattering transform, the cylindrical Korteweg-De Vries equation and similarity solutions. Physics Letters A. 72(3). 197–199. 28 indexed citations

13.

Johnson, R. S.. (1978). On the propagation of long waves on the surface of helium - II: linearized theory. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 362(1708). 97–111. 1 indexed citations

14.

Johnson, R. S.. (1978). A note on the effects of healing and relaxation in helium II due to heat transfer at a wall. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 362(1710). 375–382. 1 indexed citations

15.

Johnson, R. S.. (1977). On the modulation of water waves in the neighbourhood of kh ≈ 1.363. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 357(1689). 131–141. 113 indexed citations

16.

Johnson, R. S.. (1976). On the modulation of water waves on shear flows. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 347(1651). 537–546. 23 indexed citations

17.

Johnson, R. S.. (1976). On the continuum theory of the one-fluid solar wind for small Prandtl number. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 348(1652). 129–142. 6 indexed citations

18.

Johnson, R. S.. (1976). On the continuum theory of the two-fluid solar wind for small mass ratio. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 348(1655). 511–523. 2 indexed citations

19.

Freeman, N. C. & R. S. Johnson. (1972). A note on stellar winds and breezes. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 329(1577). 241–249. 3 indexed citations

20.

Schnurmann, Robert & R. S. Johnson. (1968). Poiseuille flow in jet viscometer orifices. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 303(1475). 429–451. 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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