Paul Bracken

448 total citations
34 papers, 304 citations indexed

About

Paul Bracken is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, Paul Bracken has authored 34 papers receiving a total of 304 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Statistical and Nonlinear Physics, 8 papers in Numerical Analysis and 6 papers in Geometry and Topology. Recurrent topics in Paul Bracken's work include Nonlinear Waves and Solitons (25 papers), Nonlinear Photonic Systems (16 papers) and Numerical methods for differential equations (7 papers). Paul Bracken is often cited by papers focused on Nonlinear Waves and Solitons (25 papers), Nonlinear Photonic Systems (16 papers) and Numerical methods for differential equations (7 papers). Paul Bracken collaborates with scholars based in Canada, United States and Poland. Paul Bracken's co-authors include Mohammad Bhatti, A. M. Grundland, L. Martina, Muhammad I. Bhatti, Abraham Boyarsky and Paweł Góra and has published in prestigious journals such as Physics Letters A, Physica A Statistical Mechanics and its Applications and Applied Mathematics and Computation.

In The Last Decade

Paul Bracken

27 papers receiving 243 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Paul Bracken Canada	7	140	130	125	70	36	34	304
Salvador Jiménez Spain	9	128 0.9×	81 0.6×	156 1.2×	21 0.3×	26 0.7×	31	289
S. R. Svirshchevskii Russia	7	147 1.1×	179 1.4×	282 2.3×	64 0.9×	40 1.1×	11	412
Jacek Gilewicz France	10	130 0.9×	97 0.7×	54 0.4×	178 2.5×	31 0.9×	40	365
B. Bira India	9	68 0.5×	138 1.1×	198 1.6×	86 1.2×	92 2.6×	30	330
Sadeq Taha Abdulazeez Iraq	9	97 0.7×	190 1.5×	221 1.8×	41 0.6×	14 0.4×	22	332
Yuri Bozhkov Brazil	11	51 0.4×	75 0.6×	229 1.8×	120 1.7×	24 0.7×	39	379
Francisco de la Hoz Spain	11	82 0.6×	48 0.4×	79 0.6×	118 1.7×	74 2.1×	31	349
Emad A.‐B. Abdel‐Salam Egypt	14	75 0.5×	356 2.7×	363 2.9×	51 0.7×	22 0.6×	52	539
Ali Khalili Golmankhaneh Türkiye	11	184 1.3×	416 3.2×	208 1.7×	105 1.5×	11 0.3×	17	526
A.G. Johnpillai South Africa	12	95 0.7×	148 1.1×	392 3.1×	17 0.2×	24 0.7×	38	445

Countries citing papers authored by Paul Bracken

Since Specialization

Citations

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

Fields of papers citing papers by Paul Bracken

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Paul Bracken. 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 Paul Bracken. The network helps show where Paul Bracken may publish in the future.

Co-authorship network of co-authors of Paul Bracken

This figure shows the co-authorship network connecting the top 25 collaborators of Paul Bracken. A scholar is included among the top collaborators of Paul Bracken 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 Paul Bracken. Paul Bracken 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

Bracken, Paul. (2020). Delaunay surfaces expressed in terms of a Cartan moving frame. Journal of Applied Analysis. 26(1). 153–160. 1 indexed citations

Bracken, Paul. (2018). Cartan frames and algebras with links to integrable systems differential equations and surfaces. Journal of Mathematical Physics. 59(2). 3 indexed citations

Bracken, Paul. (2014). An Intrinsic Characterization of Bonnet Surfaces Based on a Closed Differential Ideal. 2014. 1–11. 1 indexed citations

Bracken, Paul. (2013). Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems. International Journal of Mathematics and Mathematical Sciences. 2013. 1–8.

Bracken, Paul. (2012). Deformation of surfaces in three-dimensional space induced by means of integrable systems. Nonlinear Analysis Real World Applications. 14(3). 1331–1339.

Bracken, Paul. (2011). The Hodge–de Rham decomposition theorem and an application to a partial differential equation. Acta Mathematica Academiae Scientiarum Hungaricae. 133(4). 332–341. 2 indexed citations

Bracken, Paul. (2010). Exterior Differential Systems Prolongations and Application to a Study of Two Nonlinear Partial Differential Equations. Acta Applicandae Mathematicae. 113(3). 247–263. 6 indexed citations

Bracken, Paul. (2010). A geometric interpretation of prolongation by means of connections. Journal of Mathematical Physics. 51(11). 6 indexed citations

Bracken, Paul. (2009). Integrable systems of partial differential equations determined by structure equations and Lax pair. Physics Letters A. 374(4). 501–503. 3 indexed citations

10.

Bhatti, Muhammad I. & Paul Bracken. (2007). Soliton solutions obtained from the Duffing equation. International Journal of Contemporary Mathematical Sciences. 2. 319–331. 1 indexed citations

11.

Bracken, Paul. (2006). The generalized Weierstrass system inducing surfaces of constant and nonconstant mean curvature in Euclidean three space. Journal of Computational and Applied Mathematics. 202(1). 122–132. 1 indexed citations

12.

Bhatti, Mohammad & Paul Bracken. (2006). Solutions of differential equations in a Bernstein polynomial basis. Journal of Computational and Applied Mathematics. 205(1). 272–280. 179 indexed citations

13.

Bracken, Paul. (2005). Specific solutions of the generalized Korteweg-de Vries equation with possible physical applications. Open Physics. 3(1). 127–138. 2 indexed citations

14.

Bracken, Paul. (2005). Determination of surfaces in three‐dimensional Minkowski andEuclidean spaces based on solutions of the Sinh‐Laplace equation. International Journal of Mathematics and Mathematical Sciences. 2005(9). 1393–1404. 2 indexed citations

15.

Bracken, Paul. (2003). Some methods for generating solutions to the Korteweg–de Vries equation. Physica A Statistical Mechanics and its Applications. 335(1-2). 70–78. 8 indexed citations

16.

Bracken, Paul & A. M. Grundland. (2002). Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space. Journal of Nonlinear Mathematical Physics. 9(3). 357–357. 4 indexed citations

17.

Bracken, Paul, et al.. (2002). On a formulation of certain integrable systems using hyperbolic numbers. Physics Letters A. 301(3-4). 191–194. 5 indexed citations

18.

Bracken, Paul & A. M. Grundland. (2001). Geometrical aspects of the complex eikonal equations associated to the generalized Weierstrass representation. Czechoslovak Journal of Physics. 51(4). 293–300. 2 indexed citations

19.

Bracken, Paul & A. M. Grundland. (2000). On the Bäcklund transformation and the theorem of permutability for the generalized Weierstrass system. Inverse Problems. 16(1). 145–153. 2 indexed citations

20.

Bracken, Paul, A. M. Grundland, & L. Martina. (1999). The Weierstrass–Enneper system for constant mean curvature surfaces and the completely integrable sigma model. Journal of Mathematical Physics. 40(7). 3379–3403. 18 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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