P.H.M. Kersten

670 total citations
47 papers, 369 citations indexed

About

P.H.M. Kersten is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Numerical Analysis. According to data from OpenAlex, P.H.M. Kersten has authored 47 papers receiving a total of 369 indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Statistical and Nonlinear Physics, 14 papers in Geometry and Topology and 8 papers in Numerical Analysis. Recurrent topics in P.H.M. Kersten's work include Nonlinear Waves and Solitons (41 papers), Nonlinear Photonic Systems (21 papers) and Algebraic structures and combinatorial models (12 papers). P.H.M. Kersten is often cited by papers focused on Nonlinear Waves and Solitons (41 papers), Nonlinear Photonic Systems (21 papers) and Algebraic structures and combinatorial models (12 papers). P.H.M. Kersten collaborates with scholars based in Netherlands, Russia and Italy. P.H.M. Kersten's co-authors include I. S. Krasil’shchik, G. Roelofs, Alexander Verbovetsky, A. S. Sorin, Raffaele Vitolo and Gerhard F. Post and has published in prestigious journals such as Physics Letters A, Journal of Mathematical Physics and Mathematical and Computer Modelling.

In The Last Decade

P.H.M. Kersten

42 papers receiving 348 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
P.H.M. Kersten Netherlands	9	349	171	65	53	47	47	369
L. V. Bogdanov Russia	10	339 1.0×	139 0.8×	35 0.5×	90 1.7×	26 0.6×	35	381
S. I. Svinolupov Russia	12	467 1.3×	186 1.1×	96 1.5×	63 1.2×	43 0.9×	27	511
J. C. Brunelli Brazil	11	443 1.3×	142 0.8×	28 0.4×	105 2.0×	16 0.3×	23	466
M. B. Sheftel Türkiye	9	212 0.6×	88 0.5×	30 0.5×	39 0.7×	16 0.3×	35	256
Artur Sergyeyev Czechia	9	230 0.7×	96 0.6×	14 0.2×	58 1.1×	44 0.9×	34	260
Ladislav Hlavatý Czechia	10	230 0.7×	191 1.1×	21 0.3×	52 1.0×	10 0.2×	54	312
Hideaki Ujino Japan	10	392 1.1×	283 1.7×	15 0.2×	70 1.3×	62 1.3×	31	459
Hidetaka Sakai Japan	7	357 1.0×	324 1.9×	20 0.3×	68 1.3×	36 0.8×	10	429
Hesheng Hu China	7	344 1.0×	105 0.6×	28 0.4×	49 0.9×	10 0.2×	16	390
Ziemowit Popowicz Poland	17	686 2.0×	508 3.0×	33 0.5×	131 2.5×	44 0.9×	60	776

Countries citing papers authored by P.H.M. Kersten

Since Specialization

Citations

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

Fields of papers citing papers by P.H.M. Kersten

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P.H.M. Kersten. 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 P.H.M. Kersten. The network helps show where P.H.M. Kersten may publish in the future.

Co-authorship network of co-authors of P.H.M. Kersten

This figure shows the co-authorship network connecting the top 25 collaborators of P.H.M. Kersten. A scholar is included among the top collaborators of P.H.M. Kersten 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 P.H.M. Kersten. P.H.M. Kersten 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

Kersten, P.H.M., I. S. Krasil’shchik, Alexander Verbovetsky, & Raffaele Vitolo. (2009). Integrability of Kupershmidt Deformations. Acta Applicandae Mathematicae. 109(1). 75–86. 13 indexed citations

Kersten, P.H.M., I. S. Krasil’shchik, & Alexander Verbovetsky. (2006). A Geometric Study of the Dispersionless Boussinesq Type Equation. Acta Applicandae Mathematicae. 90(1-2). 143–178. 5 indexed citations

Kersten, P.H.M., et al.. (2004). The Monge-Ampère equation: Hamiltonian and symplectic structures, recursions, and hierarchies. University of Twente Research Information. 1 indexed citations

Kersten, P.H.M., et al.. (2003). On symmetries and cohomological invariants of equations possessing flat representations. Differential Geometry and its Applications. 19(3). 319–342. 7 indexed citations

Kersten, P.H.M.. (2003). Hamiltonian operators and ℓ*-coverings. Journal of Geometry and Physics. 1 indexed citations

Kersten, P.H.M., I. S. Krasil’shchik, & Alexander Verbovetsky. (2002). An extensive study of N=1 sypersymmetric KdV-equation. University of Twente Research Information.

Kersten, P.H.M., et al.. (2002). An extensive study of the $N = 1$ supersymmetric KDV equation. University of Twente Research Information.

Kersten, P.H.M.. (2000). SUPERSYMMETRIES AND RECURSION OPERATORS FOR $N=2$ SUPERSYMMETRIC KDV-EQUATION (Lie Groups, Geometric Structures and Differential Equations : One Hundred Years after Sophus Lie). Kyoto University Research Information Repository (Kyoto University). 1150(1150). 153–161. 1 indexed citations

Kersten, P.H.M. & I. S. Krasil’shchik. (2000). Symmetries and Recursion Operators for Classical and Supersymmetric Equations. University of Twente Research Information. 11 indexed citations

10.

Kersten, P.H.M., et al.. (1997). Differential geometric computations and computer algebra. Mathematical and Computer Modelling. 25(8-9). 11–24. 2 indexed citations

11.

Kersten, P.H.M., et al.. (1997). Symmetries and Conservation Laws of the System: ux= vwx, vy= u wy, uv+wxx+wyy=0. Acta Applicandae Mathematicae. 47(1). 79–99. 1 indexed citations

12.

Post, Gerhard F., et al.. (1995). Differential calculi on universal enveloping algebras of Lie algebras. University of Twente Research Information. 2 indexed citations

13.

Krasil’shchik, I. S. & P.H.M. Kersten. (1995). Graded differential equations and their deformations: A computational theory for recursion operators. Acta Applicandae Mathematicae. 41(1-3). 167–191. 6 indexed citations

14.

Kersten, P.H.M., et al.. (1995). Introduction. Acta Applicandae Mathematicae. 41(1-3). 1–1. 1 indexed citations

15.

Roelofs, G. & P.H.M. Kersten. (1992). Supersymmetric extensions of the nonlinear Schrödinger equation: Symmetries and coverings. Journal of Mathematical Physics. 33(6). 2185–2206. 66 indexed citations

16.

Kersten, P.H.M., et al.. (1991). Supersymmetric extensions of the nonlinear Schrödinger equation: Symmetries and coverings. University of Twente Research Information. 1 indexed citations

17.

Kersten, P.H.M., et al.. (1991). Graded differential geometry in REDUCE: Supersymmetry structures of the modified KdV equation. Acta Applicandae Mathematicae. 24(3). 211–231. 4 indexed citations

18.

Kersten, P.H.M.. (1988). Higher order supersymmetries and fermionic conservation laws of the supersymmetric extension of the KdV equation. Physics Letters A. 134(1). 25–30. 25 indexed citations

19.

Kersten, P.H.M.. (1987). Infinitesimal symmetries: a computional approach. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 34. 1–155. 28 indexed citations

20.

Kersten, P.H.M., et al.. (1975). Briefe an Friedrich Kurt Benndorf aus den Jahren 1900-1940.

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