George W. Bluman

10.0k total citations · 3 hit papers
73 papers, 7.1k citations indexed

About

George W. Bluman is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, George W. Bluman has authored 73 papers receiving a total of 7.1k indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Statistical and Nonlinear Physics, 24 papers in Numerical Analysis and 13 papers in Mathematical Physics. Recurrent topics in George W. Bluman's work include Nonlinear Waves and Solitons (54 papers), Nonlinear Photonic Systems (33 papers) and Numerical methods for differential equations (22 papers). George W. Bluman is often cited by papers focused on Nonlinear Waves and Solitons (54 papers), Nonlinear Photonic Systems (33 papers) and Numerical methods for differential equations (22 papers). George W. Bluman collaborates with scholars based in Canada, Japan and China. George W. Bluman's co-authors include Sukeyuki Kumei, Stephen C. Anco, Julian D. Cole, Alexei F. Cheviakov, Gregory J. Reid, Zhenya Yan, Zhenya Yan, Nataliya M. Ivanova, R. Sahadevan and Temuer Chaolu and has published in prestigious journals such as Physical Review Letters, Computer Physics Communications and Journal of Mathematical Analysis and Applications.

In The Last Decade

George W. Bluman

71 papers receiving 6.6k 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.

Symmetries and Differential Equations

1989 2.5k citations George W. Bluman, Sukeyuki Kumei profile →
Similarity Methods for Differential Equations

1974 926 citations George W. Bluman et al. profile →
Applications of Symmetry Methods to Partial Differential Equations

2009 655 citations George W. Bluman, Alexei F. Cheviakov et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
George W. Bluman Canada	31	5.8k	1.5k	1.3k	1.3k	850	73	7.1k
Nail H. Ibragimov Sweden	28	3.3k 0.6×	1.0k 0.7×	866 0.7×	691 0.5×	634 0.7×	127	4.8k
Peter A. Clarkson United Kingdom	35	8.1k 1.4×	1.8k 1.2×	1.1k 0.8×	2.1k 1.7×	1.3k 1.5×	105	8.9k
Philip Rosenau Israel	38	3.7k 0.6×	803 0.5×	619 0.5×	607 0.5×	1.3k 1.5×	126	5.6k
M. Tabor United States	30	4.9k 0.8×	587 0.4×	433 0.3×	852 0.7×	559 0.7×	60	6.1k
Nikolay A. Kudryashov Russia	53	9.3k 1.6×	2.2k 1.5×	1.0k 0.8×	1.5k 1.2×	1.0k 1.2×	386	10.5k
Harvey Segur United States	33	9.8k 1.7×	798 0.5×	1.1k 0.9×	1.8k 1.5×	2.4k 2.8×	70	11.5k
Willard Miller United States	33	3.5k 0.6×	369 0.2×	727 0.6×	903 0.7×	631 0.7×	153	5.8k
Sukeyuki Kumei Canada	14	2.7k 0.5×	697 0.5×	635 0.5×	585 0.5×	351 0.4×	21	3.4k
Miki Wadati Japan	50	7.7k 1.3×	1.0k 0.7×	588 0.5×	2.7k 2.1×	1.9k 2.3×	341	10.6k
C. Rogers Australia	31	2.8k 0.5×	337 0.2×	496 0.4×	743 0.6×	463 0.5×	203	3.7k

Countries citing papers authored by George W. Bluman

Since Specialization

Citations

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

Fields of papers citing papers by George W. Bluman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of George W. Bluman

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

All Works

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20 of 20 papers shown

Bluman, George W., et al.. (2025). Non-invertible mappings of linear PDEs to nonlinear PDEs through the symmetry-based method. Journal of Mathematical Analysis and Applications. 555(1). 130038–130038.

Bluman, George W., et al.. (2024). The natural extension to PDEs of Lie’s reduction of order algorithm for ODEs. Communications in Nonlinear Science and Numerical Simulation. 140. 108438–108438.

Bluman, George W., et al.. (2021). Differential invariant method for seeking nonlocally related systems and nonlocal symmetries. I: General theory and examples. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 477(2250). 4 indexed citations

Bluman, George W., et al.. (2021). Differential invariant method for seeking nonlocally related systems and nonlocal symmetries. II: Connections with the conservation law method. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 477(2250). 4 indexed citations

Bluman, George W., et al.. (2020). A new symmetry-based method for constructing nonlocally related PDE systems from admitted multi-parameter groups. Journal of Mathematical Physics. 61(6). 7 indexed citations

Bluman, George W., et al.. (2018). Composition of Lie Group Elements from Basis Lie Algebra Elements. Journal of Nonlinear Mathematical Physics. 25(4). 528–528. 2 indexed citations

Bluman, George W., et al.. (2015). Higher order symmetries and integrating factors for ordinary differential equations. Journal of Mathematical Analysis and Applications. 435(1). 133–161. 3 indexed citations

Adamuti‐Trache, Maria, George W. Bluman, & T. Tiedje. (2012). Student Success in First-Year University Physics and Mathematics Courses: Does the high-school attended make a difference?. International Journal of Science Education. 35(17). 2905–2927. 7 indexed citations

Bluman, George W., et al.. (2011). New solutions for ordinary differential equations. Journal of Symbolic Computation. 47(1). 76–88. 3 indexed citations

10.

Anco, Stephen C., George W. Bluman, & Thomas Wolf. (2008). Invertible Mappings of Nonlinear PDEs to Linear PDEs through Admitted Conservation Laws. Acta Applicandae Mathematicae. 101(1-3). 21–38. 28 indexed citations

11.

Bluman, George W.. (2008). Nonlocal Extensions of Similarity Methods. Journal of Nonlinear Mathematical Physics. 15(Supplement 1). 1–1. 5 indexed citations

12.

Bluman, George W. & Alexei F. Cheviakov. (2006). Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation. Journal of Mathematical Analysis and Applications. 333(1). 93–111. 51 indexed citations

13.

Bluman, George W., et al.. (2005). New conservation laws obtained directly from symmetry action on a known conservation law. Journal of Mathematical Analysis and Applications. 322(1). 233–250. 45 indexed citations

14.

Anco, Stephen C. & George W. Bluman. (1997). Nonlocal symmetries and nonlocal conservation laws of Maxwell’s equations. Journal of Mathematical Physics. 38(7). 3508–3532. 30 indexed citations

15.

Bluman, George W., et al.. (1995). The use of factors to discover potential systems or linearizations. Acta Applicandae Mathematicae. 41(1-3). 21–43. 26 indexed citations

16.

Bluman, George W. & Sukeyuki Kumei. (1990). Symmetry-based algorithms to relate partial differential equations: I. Local symmetries. European Journal of Applied Mathematics. 1(3). 189–216. 41 indexed citations

17.

Bluman, George W.. (1990). Simplifying the form of Lie groups admitted by a given differential equation. Journal of Mathematical Analysis and Applications. 145(1). 52–62. 35 indexed citations

18.

Bluman, George W. & Gregory J. Reid. (1989). Sequences of related linear PDEs. Journal of Mathematical Analysis and Applications. 144(2). 565–585. 6 indexed citations

19.

Bluman, George W. & Sukeyuki Kumei. (1987). On invariance properties of the wave equation. Journal of Mathematical Physics. 28(2). 307–318. 75 indexed citations

20.

Kumei, Sukeyuki & George W. Bluman. (1982). When Nonlinear Differential Equations are Equivalent to Linear Differential Equations. SIAM Journal on Applied Mathematics. 42(5). 1157–1173. 87 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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