Andrei Kapaev

1.1k total citations
27 papers, 546 citations indexed

About

Andrei Kapaev is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Andrei Kapaev has authored 27 papers receiving a total of 546 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Statistical and Nonlinear Physics, 13 papers in Geometry and Topology and 7 papers in Applied Mathematics. Recurrent topics in Andrei Kapaev's work include Nonlinear Waves and Solitons (23 papers), Advanced Differential Equations and Dynamical Systems (8 papers) and Algebraic structures and combinatorial models (6 papers). Andrei Kapaev is often cited by papers focused on Nonlinear Waves and Solitons (23 papers), Advanced Differential Equations and Dynamical Systems (8 papers) and Algebraic structures and combinatorial models (6 papers). Andrei Kapaev collaborates with scholars based in Russia, United States and Italy. Andrei Kapaev's co-authors include Alexander Its, A. S. Fokas, V. Yu. Novokshenov, A. R. Its, A. V. Kitaev, Stavros Garoufalidis, Marcos Mariño, Évelyne Hubert, Xin Zhou and Percy Deift and has published in prestigious journals such as Communications in Mathematical Physics, Physics Letters A and Journal of Mathematical Analysis and Applications.

In The Last Decade

Andrei Kapaev

25 papers receiving 505 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Andrei Kapaev Russia	12	374	240	130	115	98	27	546
V. Yu. Novokshenov Russia	8	376 1.0×	193 0.8×	113 0.9×	130 1.1×	59 0.6×	37	541
Тамара Грава Italy	15	479 1.3×	136 0.6×	55 0.4×	294 2.6×	55 0.6×	47	612
Shun Shimomura Japan	11	441 1.2×	391 1.6×	212 1.6×	83 0.7×	27 0.3×	51	674
Kimio Ueno Japan	12	515 1.4×	517 2.2×	107 0.8×	268 2.3×	66 0.7×	20	829
J. F. van Diejen Chile	13	419 1.1×	328 1.4×	240 1.8×	214 1.9×	37 0.4×	67	708
Jens Marklof United Kingdom	16	244 0.7×	104 0.4×	51 0.4×	329 2.9×	70 0.7×	58	605
Kazuhiko Aomoto Japan	16	222 0.6×	406 1.7×	215 1.7×	302 2.6×	69 0.7×	69	884
Emil Horozov Bulgaria	13	382 1.0×	375 1.6×	135 1.0×	103 0.9×	28 0.3×	33	566
Tom Claeys Belgium	14	232 0.6×	139 0.6×	150 1.2×	292 2.5×	307 3.1×	36	563
A. Yu. Orlov Russia	16	515 1.4×	462 1.9×	25 0.2×	179 1.6×	60 0.6×	44	722

Countries citing papers authored by Andrei Kapaev

Since Specialization

Citations

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

Fields of papers citing papers by Andrei Kapaev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Andrei Kapaev

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

Грава, Тамара, Alexander Its, Andrei Kapaev, & Francesco Mezzadri. (2016). On the Tracy-Widom _β Distribution for β=6. Symmetry Integrability and Geometry Methods and Applications. 4 indexed citations

Грава, Тамара, Andrei Kapaev, & Christian Klein. (2015). On the Tritronquée Solutions of $$\hbox {P}_{\mathrm{I}}^2$$ P I 2 . Constructive Approximation. 41(3). 425–466. 8 indexed citations

Dubrovin, Boris & Andrei Kapaev. (2014). On an isomonodromy deformation equation without the Painlevé property. Russian Journal of Mathematical Physics. 21(1). 9–35. 5 indexed citations

Fokas, A. S., Alexander Its, Andrei Kapaev, & V. Yu. Novokshenov. (2006). Painlevé Transcendents. Mathematical surveys and monographs. 166 indexed citations

Its, A. R., et al.. (2006). On the Riemann--Hilbert--Birkhoff inverse monodromy problem and the Painlevé equations. St Petersburg Mathematical Journal. 16(1). 105–143. 16 indexed citations

Kapaev, Andrei. (2004). Quasi-linear Stokes phenomenon for the Painlevé first equation. Journal of Physics A Mathematical and General. 37(46). 11149–11167. 52 indexed citations

Kapaev, Andrei, et al.. (2003). Монодромный подход к скейлинговым пределам в изомонодромных системах. Теоретическая и математическая физика. 137(3). 393–407. 1 indexed citations

Kapaev, Andrei. (2003). Monodromy Approach to the Scaling Limits in Isomonodromy Systems. Theoretical and Mathematical Physics. 137(3). 1691–1702. 5 indexed citations

Fokas, A. S. & Andrei Kapaev. (2000). A Riemann–Hilbert Approach to the Laplace Equation. Journal of Mathematical Analysis and Applications. 251(2). 770–804. 10 indexed citations

10.

Kapaev, Andrei & Évelyne Hubert. (1999). A note on the Lax pairs for Painlevéequations. Journal of Physics A Mathematical and General. 32(46). 8145–8156. 20 indexed citations

11.

Its, Alexander & Andrei Kapaev. (1998). Connection formulae for the fourth Painlevé transcendent; Clarkson-McLeod solution. Journal of Physics A Mathematical and General. 31(17). 4073–4113. 10 indexed citations

12.

Kapaev, Andrei. (1997). Scaling limits in the second Painlevé transcendent. Journal of Mathematical Sciences. 83(1). 38–61. 7 indexed citations

13.

Kapaev, Andrei & A. V. Kitaev. (1995). Passage to the limitp 2→P 1. Journal of Mathematical Sciences. 73(4). 460–467. 4 indexed citations

14.

Kapaev, Andrei. (1995). Essential singularity of the second-genus Painlevé function and the nonlinear stokes phenomenon. Journal of Mathematical Sciences. 73(4). 500–517. 3 indexed citations

15.

Kapaev, Andrei. (1995). Weakly nonlinear solutions of equationP 1 2. Journal of Mathematical Sciences. 73(4). 468–481. 11 indexed citations

16.

Kapaev, Andrei. (1994). Equations prescribed curvature and deformations of the monodromy group. Physica D Nonlinear Phenomena. 79(1). 87–108.

17.

Its, A. R., A. S. Fokas, & Andrei Kapaev. (1994). On the asymptotic analysis of the Painleve equations via the isomonodromy method. Nonlinearity. 7(5). 1291–1325. 26 indexed citations

18.

Kapaev, Andrei & A. V. Kitaev. (1993). Connection formulae for the first Painlev� transcendent in the complex domain. Letters in Mathematical Physics. 27(4). 243–252. 28 indexed citations

19.

Kapaev, Andrei. (1988). Asymptotic expressions for the second Painlev� functions. Theoretical and Mathematical Physics. 77(3). 1227–1234. 16 indexed citations

20.

Kapaev, Andrei & V. Yu. Novokshenov. (1986). Two-parameter family of real solutions of the second Painléve equation. Soviet physics. Doklady. 31. 719. 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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