Peter J. Olver

22.0k citations
198 papers · 13.6k indexed · 4 hit papers · h-index 45

Impact in

Papers in

Peter J. Olver

185 papers receiving 12.6k citations

Hit Papers

Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation 2000 · 494 citations
494198620261999201250010001.5k2.0k2.5k

Peers

Peter J. Olver
Comparison fields: 5 of 152
  • Statistical and Nonlinear Physics 9.4k
  • Geometry and Topology 3.5k
  • Numerical Analysis 1.9k
  • Modeling and Simulation 1.3k
  • Mathematical Physics 2.5k
Replace Jerrold E. Marsden with:
Jerrold E. Marsden United States
Tudor S. Raţiu Switzerland
Darryl D. Holm United States
Vladimir I. Arnold Russia
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Lloyd N. Trefethen United Kingdom
Peter Lancaster Canada
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Peter J. Olver relative to Jerrold E. Marsden United States Jerrold E. Marsden's profile →
Citations per field
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Citations per year

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-authors

The 25 scholars most cited alongside Peter J. Olver, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Peter J. Olver Line = papers co-authored together Peter J. Olver links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 198 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Applications of Lie Groups to Differential Equations
Hit paper breakdown →
19862680
2
Applications of Lie Groups to Differential Equations
Hit paper breakdown →
19932575
3
Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support
Hit paper breakdown →
1996565
4
Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
Hit paper breakdown →
2000494
5 1977448
6 1995427
7 1997370
8 1999300
9 1996282
10 1999206
11 1979205
12 1981199
13 1986190
14 1987182
15 2012177
16 1998166
17 1992165
18 1998148
19 1982144
20 1998131

About Peter J. Olver

Peter J. Olver is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology, Mathematical Physics, Algebra and Number Theory and Numerical Analysis, having authored 198 papers that have together received 13.6k indexed citations. Recurring topics across this work include Nonlinear Waves and Solitons (110 papers), Nonlinear Photonic Systems (39 papers), Algebraic structures and combinatorial models (26 papers), Homotopy and Cohomology in Algebraic Topology (26 papers), Numerical methods for differential equations (21 papers), Advanced Topics in Algebra (18 papers), Quantum chaos and dynamical systems (15 papers) and Advanced Mathematical Physics Problems (14 papers). The work is most often cited by research in Statistical and Nonlinear Physics (9.4k citations), Geometry and Topology (3.5k citations), Numerical Analysis (1.9k citations), Modeling and Simulation (1.3k citations) and Mathematical Physics (2.5k citations). Peter J. Olver has collaborated with scholars based in United States, Canada and China. Frequent 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. Their work appears in journals such as Advances in Mathematics, SIAM Journal on Mathematical Analysis, Journal of Differential Equations, Communications in Mathematical Physics and Mathematical Proceedings of the Cambridge Philosophical Society.

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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