W. K. Schief

3.8k total citations · 1 hit paper
123 papers, 2.3k citations indexed

About

W. K. Schief is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Computational Mechanics. According to data from OpenAlex, W. K. Schief has authored 123 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 100 papers in Statistical and Nonlinear Physics, 27 papers in Geometry and Topology and 19 papers in Computational Mechanics. Recurrent topics in W. K. Schief's work include Nonlinear Waves and Solitons (99 papers), Nonlinear Photonic Systems (56 papers) and Numerical methods for differential equations (18 papers). W. K. Schief is often cited by papers focused on Nonlinear Waves and Solitons (99 papers), Nonlinear Photonic Systems (56 papers) and Numerical methods for differential equations (18 papers). W. K. Schief collaborates with scholars based in Australia, Hong Kong and Germany. W. K. Schief's co-authors include C. Rogers, B. G. Konopelchenko, J. J. C. Nimmo, C. A. Rogers, Walter Oevel, Andrew P. Bassom, Oktay K. Pashaev, Jungwon Lee, E. V. Ferapontov and Alexander I. Bobenko and has published in prestigious journals such as European Journal of Operational Research, Physics Letters A and Journal of Mathematical Analysis and Applications.

In The Last Decade

W. K. Schief

119 papers receiving 2.2k citations

Hit Papers

Bäcklund and Darboux Transformations 2002 2026 2010 2018 2002 100 200 300 400 500
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. Bäcklund and Darboux Transformations
    2002 564 citations C. Rogers, W. K. Schief profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
W. K. Schief Australia 26 1.9k 649 449 254 243 123 2.3k
Stephen C. Anco Canada 20 2.5k 1.3× 585 0.9× 294 0.7× 261 1.0× 456 1.9× 98 2.8k
А. В. Михайлов Russia 24 2.1k 1.1× 866 1.3× 594 1.3× 66 0.3× 411 1.7× 124 2.6k
Allan P. Fordy United Kingdom 26 2.4k 1.2× 977 1.5× 433 1.0× 50 0.2× 410 1.7× 69 2.6k
Alexei F. Cheviakov Canada 17 1.2k 0.6× 240 0.4× 158 0.4× 242 1.0× 279 1.1× 66 1.7k
D. Levi Italy 33 2.8k 1.5× 775 1.2× 553 1.2× 70 0.3× 292 1.2× 160 3.2k
R. K. Dodd Ireland 13 1.8k 0.9× 315 0.5× 742 1.7× 79 0.3× 385 1.6× 40 2.3k
A. H. Kara South Africa 35 4.0k 2.1× 571 0.9× 1.3k 2.8× 274 1.1× 471 1.9× 222 4.5k
A. Degasperis Italy 22 2.0k 1.0× 452 0.7× 502 1.1× 37 0.1× 706 2.9× 61 2.3k
Wen‐Rui Shan China 27 2.1k 1.1× 286 0.4× 601 1.3× 40 0.2× 275 1.1× 88 2.4k
M. A. Ablowitz United Kingdom 1 4.3k 2.2× 986 1.5× 1.1k 2.5× 74 0.3× 717 3.0× 2 4.5k

Countries citing papers authored by W. K. Schief

Since Specialization
Citations

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

Fields of papers citing papers by W. K. Schief

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of W. K. Schief

This figure shows the co-authorship network connecting the top 25 collaborators of W. K. Schief. A scholar is included among the top collaborators of W. K. Schief 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 W. K. Schief. W. K. Schief 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.
Konopelchenko, B. G. & W. K. Schief. (2024). Canonical reductions of the TED equation: integrable deformations of heavenly-type equations. Journal of Physics A Mathematical and Theoretical. 57(12). 125005–125005. 1 indexed citations
2.
Schief, W. K., et al.. (2021). On steady motions of an ideal fibre-reinforced fluid in a curved stratum. Geometry and integrability. Journal of Physics A Mathematical and Theoretical. 54(50). 505205–505205. 1 indexed citations
3.
Schief, W. K., et al.. (2020). On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure. Journal of Physics A Mathematical and Theoretical. 53(49). 494001–494001. 3 indexed citations
4.
McCarthy, Alan & W. K. Schief. (2018). Discrete projective minimal surfaces. Advances in Mathematics. 336. 1–37. 1 indexed citations
5.
Hanke, Michael, Spiridon Penev, W. K. Schief, & Alex Weissensteiner. (2017). Random orthogonal matrix simulation with exact means, covariances, and multivariate skewness. European Journal of Operational Research. 263(2). 510–523. 4 indexed citations
6.
Rogers, C. & W. K. Schief. (2016). On Ermakov–Painlevé II systems. Integrable reduction. Meccanica. 51(12). 2967–2974. 7 indexed citations
7.
King, Alastair & W. K. Schief. (2011). Clifford lattices and a conformal generalization of Desargues’ theorem. Journal of Geometry and Physics. 62(5). 1088–1096. 2 indexed citations
8.
McMonnies, Charles W. & W. K. Schief. (2006). Biomechanically Coupled Curvature Transfer in Normal and Keratoconus Corneal Collagen. Eye & Contact Lens Science & Clinical Practice. 32(1). 51–62. 12 indexed citations
9.
Fokas, A. S., C. Rogers, & W. K. Schief. (2005). Evolution of methacrylate distribution during wood saturation. Applied Mathematics Letters. 18(3). 321–328. 19 indexed citations
10.
Chow, K. W., et al.. (2005). Doubly periodic and multiple pole solutions of the sinh-Poisson equation: Application of reciprocal transformations in subsonic gas dynamics. Journal of Computational and Applied Mathematics. 190(1-2). 114–126. 10 indexed citations
11.
Rogers, C. & W. K. Schief. (2003). Novel integrable reductions in nonlinear continuum mechanics via geometric constraints. Journal of Mathematical Physics. 44(8). 3341–3369. 14 indexed citations
12.
Rogers, C., W. K. Schief, & W. H. Hui. (2002). On Complex-Lamellar Motion of a Prim Gas. Journal of Mathematical Analysis and Applications. 266(1). 55–69. 5 indexed citations
13.
Rogers, C. & W. K. Schief. (2000). On Geodesic Hydrodynamic Motions. Heisenberg Spin Connections. Journal of Mathematical Analysis and Applications. 251(2). 855–870. 25 indexed citations
14.
Rogers, C. & W. K. Schief. (1999). The resonant nonlinear Schrödinger equation via an integrable capillarity model. 114(12). 1409. 9 indexed citations
15.
Rogers, C., Andrew P. Bassom, & W. K. Schief. (1999). On a Painlevé II Model in Steady Electrolysis: Application of a Bäcklund Transformation. Journal of Mathematical Analysis and Applications. 240(2). 367–381. 21 indexed citations
16.
Ferapontov, E. V., C. Rogers, & W. K. Schief. (1998). Reciprocal Transformations of Two-Component Hyperbolic Systems and Their Invariants. Journal of Mathematical Analysis and Applications. 228(2). 365–376. 6 indexed citations
17.
Schief, W. K.. (1997). A discrete Pinney equation. Applied Mathematics Letters. 10(3). 13–15. 29 indexed citations
18.
Rogers, C., W. K. Schief, & P. Winternitz. (1997). Lie-Theoretical Generalization and Discretization of the Pinney Equation. Journal of Mathematical Analysis and Applications. 216(1). 246–264. 25 indexed citations
19.
Rogers, C. & W. K. Schief. (1996). Multi-component Ermakov Systems: Structure and Linearization. Journal of Mathematical Analysis and Applications. 198(1). 194–220. 48 indexed citations
20.
Schief, W. K.. (1994). On a 2+1-dimensional integrable Ernst-type equation. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 446(1927). 381–398. 19 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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