Alexander Verbovetsky

947 total citations
17 papers, 440 citations indexed

About

Alexander Verbovetsky is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Alexander Verbovetsky has authored 17 papers receiving a total of 440 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Statistical and Nonlinear Physics, 8 papers in Geometry and Topology and 7 papers in Mathematical Physics. Recurrent topics in Alexander Verbovetsky's work include Nonlinear Waves and Solitons (15 papers), Algebraic structures and combinatorial models (7 papers) and Advanced Mathematical Physics Problems (4 papers). Alexander Verbovetsky is often cited by papers focused on Nonlinear Waves and Solitons (15 papers), Algebraic structures and combinatorial models (7 papers) and Advanced Mathematical Physics Problems (4 papers). Alexander Verbovetsky collaborates with scholars based in Russia, Netherlands and Italy. Alexander Verbovetsky's co-authors include Н. Г. Хорькова, В. Н. Четвериков, S. Duzhin, Alexey Samokhin, A. Bocharov, I. S. Krasil’shchik, P.H.M. Kersten and Raffaele Vitolo and has published in prestigious journals such as Journal of Geometry and Physics, Acta Applicandae Mathematicae and Analysis and Mathematical Physics.

In The Last Decade

Alexander Verbovetsky

16 papers receiving 416 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Alexander Verbovetsky Russia	8	368	195	121	67	52	17	440
S. Duzhin Russia	6	250 0.7×	209 1.1×	133 1.1×	63 0.9×	26 0.5×	21	418
Carlo Morosi Italy	11	382 1.0×	216 1.1×	163 1.3×	36 0.5×	83 1.6×	42	489
Adam Doliwa Poland	12	342 0.9×	206 1.1×	76 0.6×	39 0.6×	64 1.2×	37	433
Alexey Samokhin Russia	7	253 0.7×	96 0.5×	84 0.7×	60 0.9×	19 0.4×	15	322
Juha Pohjanpelto United States	10	218 0.6×	105 0.5×	79 0.7×	43 0.6×	36 0.7×	27	292
I. S. Krasil’shchik Russia	12	601 1.6×	339 1.7×	199 1.6×	96 1.4×	105 2.0×	48	737
Н. Г. Хорькова Russia	4	230 0.6×	99 0.5×	66 0.5×	56 0.8×	19 0.4×	9	285
O I Bogoyavlenskiĭ Russia	12	544 1.5×	256 1.3×	82 0.7×	54 0.8×	36 0.7×	29	610
Enríque G. Reyes Chile	14	482 1.3×	245 1.3×	238 2.0×	78 1.2×	21 0.4×	58	625
A. Bocharov Russia	3	225 0.6×	99 0.5×	57 0.5×	65 1.0×	20 0.4×	4	281

Countries citing papers authored by Alexander Verbovetsky

Since Specialization

Citations

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

Fields of papers citing papers by Alexander Verbovetsky

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexander Verbovetsky

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

All Works

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17 of 17 papers shown

Krasil’shchik, I. S. & Alexander Verbovetsky. (2021). Recursion operators in the cotangent covering of the rdDym equation. Analysis and Mathematical Physics. 12(1). 8 indexed citations

Verbovetsky, Alexander, et al.. (2017). The Symbolic Computation of Integrability Structures for Partial Differential Equations. 36 indexed citations

Verbovetsky, Alexander, et al.. (2010). Geometry of jet spaces and integrable systems. Journal of Geometry and Physics. 61(9). 1633–1674. 54 indexed citations

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

Verbovetsky, Alexander, et al.. (2004). Variational Multivectors and Brackets in the Geometry of Jet Spaces. 113(3). 107–8. 5 indexed citations

Kersten, P.H.M., I. S. Krasil’shchik, & Alexander Verbovetsky. (2004). On the Integrability Conditions for Some Structures Related to Evolution Differential Equations. Acta Applicandae Mathematicae. 83(1-2). 167–173. 7 indexed citations

Kersten, P.H.M., I. S. Krasil’shchik, & Alexander Verbovetsky. (2004). Hamiltonian operators and ℓ-coverings. Journal of Geometry and Physics. 50(1-4). 273–302. 33 indexed citations

Kersten, P.H.M. & Alexander Verbovetsky. (2004). Nonlocal Constructions in the Geometry of PDE. 1 indexed citations

10.

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.

11.

Verbovetsky, Alexander. (2002). Remarks on Two Approaches to the Horizontal Cohomology: Compatibility Complex and the Koszul–Tate Resolution. Acta Applicandae Mathematicae. 72(1-2). 123–131. 2 indexed citations

12.

Bocharov, A., В. Н. Четвериков, S. Duzhin, et al.. (1999). Symmetries and Conservation Laws for Differential Equations of Mathematical Physics. Translations of mathematical monographs. 256 indexed citations

13.

Verbovetsky, Alexander, et al.. (1998). О когомологиях комплекса совместности. Успехи математических наук. 53(1). 213–214. 1 indexed citations

14.

Verbovetsky, Alexander. (1997). On Quantized Algebra of Wess–Zumino Differential Operators at Roots of Unity. Acta Applicandae Mathematicae. 49(3). 363–370. 2 indexed citations

15.

Verbovetsky, Alexander. (1997). Differential Operators Over Quantum Spaces. Acta Applicandae Mathematicae. 49(3). 339–361. 5 indexed citations

16.

Verbovetsky, Alexander. (1996). Lagrangian formalism over graded algebras. Journal of Geometry and Physics. 18(3). 195–214. 11 indexed citations

17.

Verbovetsky, Alexander. (1989). Local nonintegrability of long-short wave interaction equations. Acta Applicandae Mathematicae. 15(1-2). 121–136. 1 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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