Renat Zhdanov

1.7k total citations
67 papers, 1.2k citations indexed

About

Renat Zhdanov is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, Renat Zhdanov has authored 67 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 62 papers in Statistical and Nonlinear Physics, 17 papers in Numerical Analysis and 17 papers in Geometry and Topology. Recurrent topics in Renat Zhdanov's work include Nonlinear Waves and Solitons (60 papers), Nonlinear Photonic Systems (33 papers) and Numerical methods for differential equations (17 papers). Renat Zhdanov is often cited by papers focused on Nonlinear Waves and Solitons (60 papers), Nonlinear Photonic Systems (33 papers) and Numerical methods for differential equations (17 papers). Renat Zhdanov collaborates with scholars based in Ukraine, Russia and Germany. Renat Zhdanov's co-authors include V. Lahno, Qing Huang, Wilhelm Fushchych, W. I. Fushchich, Roman O. Popovych, Federico Finkel, David Gómez‐Ullate, Artemio González-López, Miguel A. Rodrı́guez and Changzheng Qu and has published in prestigious journals such as Physics Reports, Nuclear Physics B and Physics Letters B.

In The Last Decade

Renat Zhdanov

66 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Renat Zhdanov Ukraine 18 1.0k 312 284 233 142 67 1.2k
C. Sophocleous Cyprus 18 863 0.8× 319 1.0× 316 1.1× 132 0.6× 109 0.8× 92 1.0k
R. Sahadevan India 20 1.3k 1.2× 714 2.3× 313 1.1× 356 1.5× 95 0.7× 65 1.5k
Robert Conte France 20 1.4k 1.4× 245 0.8× 220 0.8× 415 1.8× 157 1.1× 75 1.5k
W. I. Fushchich Russia 15 792 0.8× 111 0.4× 231 0.8× 172 0.7× 122 0.9× 41 1.1k
P.G. Estévez Spain 19 1.1k 1.0× 317 1.0× 176 0.6× 309 1.3× 113 0.8× 63 1.1k
M.L. Gandarias Spain 20 1.5k 1.5× 436 1.4× 217 0.8× 355 1.5× 296 2.1× 170 1.7k
Mykola Serov Ukraine 13 491 0.5× 179 0.6× 172 0.6× 85 0.4× 75 0.5× 29 641
J. F. Ladik United States 6 1.9k 1.8× 178 0.6× 287 1.0× 266 1.1× 267 1.9× 8 2.0k
Shoufeng Shen China 17 795 0.8× 284 0.9× 103 0.4× 193 0.8× 117 0.8× 105 885
Micheline Musette Belgium 16 923 0.9× 195 0.6× 136 0.5× 253 1.1× 123 0.9× 54 990

Countries citing papers authored by Renat Zhdanov

Since Specialization
Citations

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

Fields of papers citing papers by Renat Zhdanov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Renat Zhdanov

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

All Works

20 of 20 papers shown
1.
Hosseinbor, A. Pasha, et al.. (2017). An unsupervised 2D point-set registration algorithm for unlabeled feature points: Application to fingerprint matching. Pattern Recognition Letters. 100. 137–143. 4 indexed citations
2.
Huang, Qing, Changzheng Qu, & Renat Zhdanov. (2012). Group Classification of Linear Fourth-Order Evolution Equations. Reports on Mathematical Physics. 70(3). 331–343. 5 indexed citations
3.
Zhdanov, Renat. (2011). Nonlocal Symmetries of Systems of Evolution Equations. Advances in Mathematical Physics. 2011(1). 2 indexed citations
4.
Finkel, Federico, David Gómez‐Ullate, Artemio González-López, Miguel A. Rodrı́guez, & Renat Zhdanov. (2001). A N -Type Dunkl Operators and New Spin Calogero-Sutherland Models. Communications in Mathematical Physics. 221(3). 477–497. 23 indexed citations
5.
Zhdanov, Renat, et al.. (2000). Non-classical reductions of initial-value problems for a class of nonlinear evolution equations. Journal of Physics A Mathematical and General. 33(32). 5763–5781. 30 indexed citations
6.
Doebner, H. D. & Renat Zhdanov. (1999). The stationary KdV hierarchy and so(2,1) as a spectrum generating algebra. Journal of Mathematical Physics. 40(10). 4995–5003. 5 indexed citations
7.
Zhdanov, Renat, et al.. (1999). A Precise Definition of Reduction of Partial Differential Equations. Journal of Mathematical Analysis and Applications. 238(1). 101–123. 48 indexed citations
8.
Zhdanov, Renat & V. Lahno. (1999). Group classification of heat conductivity equations with a nonlinear source. Journal of Physics A Mathematical and General. 32(42). 7405–7418. 54 indexed citations
9.
Zhdanov, Renat & V. Lahno. (1998). Conditional symmetry of a porous medium equation. Physica D Nonlinear Phenomena. 122(1-4). 178–186. 45 indexed citations
10.
Zhdanov, Renat, et al.. (1998). Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures. Physics Letters A. 241(3). 155–158. 1 indexed citations
11.
Zhdanov, Renat. (1997). Quasi-exactly solvable matrix models. Physics Letters B. 405(3-4). 253–256. 10 indexed citations
12.
Zhdanov, Renat, et al.. (1996). New scale-invariant nonlinear differential equations for a complex scalar field. Physica D Nonlinear Phenomena. 95(2). 158–162. 3 indexed citations
13.
Zhdanov, Renat, et al.. (1996). Reduction of differential equations and conditional symmetry. Ukrainian Mathematical Journal. 48(5). 661–670. 6 indexed citations
14.
Zhdanov, Renat & Wilhelm Fushchych. (1995). Conditional symmetry and new classical solutions of the Yang-Mills equations. Journal of Physics A Mathematical and General. 28(21). 6253–6263. 5 indexed citations
15.
Zhdanov, Renat. (1995). Conditional Lie-Backlund symmetry and reduction of evolution equations. Journal of Physics A Mathematical and General. 28(13). 3841–3850. 144 indexed citations
16.
Zhdanov, Renat, et al.. (1994). Separation of variables in two-dimensional wave equations with potential. Ukrainian Mathematical Journal. 46(10). 1480–1503. 2 indexed citations
17.
Zhdanov, Renat, et al.. (1993). Orthogonal and non-orthogonal separation of variables in the wave equation utt-uxx+V(x)u=0utt-uxx+V(x)u=0. Journal of Physics A Mathematical and General. 26(21). 5959–5972. 6 indexed citations
18.
Fushchich, W. I., et al.. (1991). On the reduction of the nonlinear multi-dimensional wave equations and compatibility of the d'Alembert-Hamilton system. Journal of Mathematical Analysis and Applications. 161(2). 352–360. 15 indexed citations
19.
Fushchich, W. I. & Renat Zhdanov. (1991). On the non-Lie reduction of the nonlinear Dirac equation. Journal of Mathematical Physics. 32(12). 3488–3490. 7 indexed citations
20.
Fushchich, W. I. & Renat Zhdanov. (1988). On the reduction and some new exact solutions of the nonlinear Dirac and Dirac-Klein-Gordon equations. Journal of Physics A Mathematical and General. 21(1). L5–L9. 6 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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