Peter J. Olver

22.0k total citations · 4 hit papers
198 papers, 13.6k citations indexed

About

Peter J. Olver is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Peter J. Olver has authored 198 papers receiving a total of 13.6k indexed citations (citations by other indexed papers that have themselves been cited), including 115 papers in Statistical and Nonlinear Physics, 56 papers in Geometry and Topology and 47 papers in Mathematical Physics. Recurrent topics in Peter J. Olver's work include Nonlinear Waves and Solitons (110 papers), Nonlinear Photonic Systems (39 papers) and Algebraic structures and combinatorial models (26 papers). Peter J. Olver is often cited by papers focused on Nonlinear Waves and Solitons (110 papers), Nonlinear Photonic Systems (39 papers) and Algebraic structures and combinatorial models (26 papers). Peter J. Olver collaborates with scholars based in United States, Canada and China. Peter J. Olver's co-authors include Philip Rosenau, Yi A. Li, Allen Tannenbaum, Satyanad Kichenassamy, Mark E. Fels, Niky Kamran, Anthony Yezzi, Artemio González-López, В. В. Соколов and Anil Kumar and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Fluid Mechanics and Physics Today.

In The Last Decade

Peter J. Olver

185 papers receiving 12.6k citations

Hit Papers

Applications of Lie Groups to Differential Equations 1986 2026 1999 2012 1986 1993 1996 2000 500 1000 1.5k 2.0k 2.5k

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter J. Olver United States 45 9.4k 3.5k 2.5k 1.9k 1.3k 198 13.6k
Darryl D. Holm United States 45 6.8k 0.7× 2.2k 0.6× 2.9k 1.2× 713 0.4× 665 0.5× 262 11.6k
Tudor S. Raţiu Switzerland 40 4.2k 0.4× 2.2k 0.6× 2.2k 0.9× 1.3k 0.7× 152 0.1× 206 10.6k
Jerrold E. Marsden United States 90 10.8k 1.1× 3.9k 1.1× 4.0k 1.6× 4.9k 2.6× 518 0.4× 406 33.3k
A. S. Fokas United Kingdom 61 10.7k 1.1× 3.1k 0.9× 3.8k 1.6× 2.3k 1.2× 1.3k 1.0× 315 13.6k
Stephen Wiggins United Kingdom 49 7.9k 0.8× 1.3k 0.4× 1.5k 0.6× 445 0.2× 400 0.3× 222 14.3k
Vladimir I. Arnold Russia 48 5.1k 0.5× 4.1k 1.2× 3.1k 1.3× 753 0.4× 121 0.1× 200 13.0k
Mark J. Ablowitz United States 68 21.1k 2.2× 3.6k 1.0× 5.0k 2.0× 2.4k 1.3× 1.9k 1.5× 310 24.6k
Alan C. Newell United States 54 9.3k 1.0× 1.2k 0.3× 1.9k 0.8× 902 0.5× 548 0.4× 179 15.0k
Cédric Villani France 38 1.7k 0.2× 1.6k 0.5× 2.5k 1.0× 187 0.1× 643 0.5× 82 11.6k
Lloyd N. Trefethen United Kingdom 54 2.7k 0.3× 359 0.1× 1.4k 0.6× 3.8k 2.0× 1.2k 0.9× 175 17.4k

Countries citing papers authored by Peter J. Olver

Since Specialization
Citations

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

Fields of papers citing papers by Peter J. Olver

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter J. Olver

This figure shows the co-authorship network connecting the top 25 collaborators of Peter J. Olver. A scholar is included among the top collaborators of Peter J. Olver 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 J. Olver. Peter J. Olver 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.
Kang, Jing, et al.. (2025). New Revival Phenomena for Bidirectional Dispersive Hyperbolic Equations. Journal of Nonlinear Science. 35(2).
2.
Olver, Peter J., et al.. (2023). Normal Forms, Moving Frames, and Differential Invariants for Nondegenerate Hypersurfaces in $${\mathbb {C}}^2$$. Journal of Geometric Analysis. 33(6). 2 indexed citations
3.
Olver, Peter J.. (2016). The Symmetry Groupoid and Weighted Signature of a Geometric Object. Journal of Lie theory. 26(1). 235–267. 7 indexed citations
4.
Olver, Peter J.. (2009). Differential Invariants of Maximally Symmetric Submanifolds. Journal of Lie theory. 19(1). 79–99. 2 indexed citations
5.
Edelsbrunner, Herbert, Mark J. Ablowitz, E. J. Hinch, et al.. (2006). Geometry and Topology for Mesh Generation (Cambridge Monographs on Applied and Computational Mathematics). Cambridge University Press eBooks. 32 indexed citations
6.
Winternitz, P., David Gómez‐Ullate, D. Levi, et al.. (2005). Group Theory and Numerical Analysis. 14 indexed citations
7.
Zomorodian, Afra, Mark J. Ablowitz, E. J. Hinch, et al.. (2005). Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics). Cambridge University Press eBooks. 55 indexed citations
8.
Li, Hongbo, Peter J. Olver, & Gerald Sommer. (2005). Computer Algebra and Geometric Algebra with Applications: 6th International Workshop, IWMM 2004, Shanghai, China, May 19-21, 2004 and International Workshop, ... Papers (Lecture Notes in Computer Science). Springer eBooks. 1 indexed citations
9.
Lewis, Debra & Peter J. Olver. (2002). Geometric Integration Algorithms on Homogeneous Manifolds. Mathematische Annalen. 2(4). 363–392. 12 indexed citations
10.
Olver, Peter J. & Jan A. Sanders. (2000). Transvectants, Modular Forms, and the Heisenberg Algebra. Advances in Applied Mathematics. 25(3). 252–283. 23 indexed citations
11.
Olver, Peter J., et al.. (2000). Symmetries of Polynomials. Journal of Symbolic Computation. 29(4-5). 485–514. 17 indexed citations
12.
Li, Yi A. & Peter J. Olver. (2000). Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation. Journal of Differential Equations. 162(1). 27–63. 494 indexed citations breakdown →
13.
Olver, Peter J., et al.. (1998). Canonical Forms and Conservation Laws in Linear Elastostatics. Archives of Mechanics. 50(3). 389–404. 3 indexed citations
14.
Olver, Peter J.. (1996). Non-Associative Local Lie Groups. Journal of Lie theory. 6(1). 23–52. 17 indexed citations
15.
Olver, Peter J.. (1994). Direct reduction and differential constraints. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 444(1922). 509–523. 105 indexed citations
16.
Olver, Peter J., Guillermo Sapiro, Allen Tannenbaum, & Decision Systems.. (1993). Classification and uniqueness of invariant geometric flows. 319(4). 339–344. 17 indexed citations
17.
Anderson, Ian, Niky Kamran, & Peter J. Olver. (1993). Internal, External, and Generalized Symmetries. Advances in Mathematics. 100(1). 53–100. 40 indexed citations
18.
Kamran, Niky & Peter J. Olver. (1990). Lie algebras of differential operators and Lie-algebraic potentials. Journal of Mathematical Analysis and Applications. 145(2). 342–356. 65 indexed citations
19.
Kamran, Niky & Peter J. Olver. (1989). Equivalence problems for first order Lagrangians on the line. Journal of Differential Equations. 80(1). 32–78. 18 indexed citations
20.
Olver, Peter J.. (1983). Conservation laws of free boundary problems and the classification of conservation laws for water waves. Transactions of the American Mathematical Society. 277(1). 353–380. 12 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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