Alexei Rybkin

523 total citations
46 papers, 309 citations indexed

About

Alexei Rybkin is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Alexei Rybkin has authored 46 papers receiving a total of 309 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Mathematical Physics, 17 papers in Statistical and Nonlinear Physics and 11 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Alexei Rybkin's work include Spectral Theory in Mathematical Physics (17 papers), Nonlinear Waves and Solitons (15 papers) and Advanced Mathematical Physics Problems (15 papers). Alexei Rybkin is often cited by papers focused on Spectral Theory in Mathematical Physics (17 papers), Nonlinear Waves and Solitons (15 papers) and Advanced Mathematical Physics Problems (15 papers). Alexei Rybkin collaborates with scholars based in United States, Russia and Mexico. Alexei Rybkin's co-authors include Efim Pelinovsky, Dmitry Nicolsky, Ira Didenkulova, Sergei Avdonin, Victor Mikhaylov, Sergei M. Grudsky, Vu Kim Tuan and Denys Dutykh and has published in prestigious journals such as Journal of Fluid Mechanics, Communications in Mathematical Physics and Physics Letters A.

In The Last Decade

Alexei Rybkin

41 papers receiving 294 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alexei Rybkin United States 10 154 107 89 84 54 46 309
Shuyang Sun United States 10 110 0.7× 114 1.1× 43 0.5× 60 0.7× 22 0.4× 28 259
David Lannes France 4 193 1.3× 84 0.8× 136 1.5× 173 2.1× 3 0.1× 7 395
Borys Álvarez-Samaniego France 6 169 1.1× 130 1.2× 73 0.8× 96 1.1× 5 0.1× 12 282
Erik Wahlén Sweden 17 142 0.9× 204 1.9× 460 5.2× 604 7.2× 4 0.1× 46 829
M. D. Spector Israel 9 55 0.4× 125 1.2× 89 1.0× 126 1.5× 1 0.0× 12 324
Mats Ehrnström Sweden 15 137 0.9× 172 1.6× 329 3.7× 440 5.2× 2 0.0× 39 641
Vera Mikyoung Hur United States 14 179 1.2× 189 1.8× 155 1.7× 271 3.2× 1 0.0× 30 460
Kiyoshi Asano Japan 10 168 1.1× 50 0.5× 8 0.1× 28 0.3× 8 0.1× 28 392
Thomas Alazard France 11 263 1.7× 74 0.7× 39 0.4× 128 1.5× 1 0.0× 26 434

Countries citing papers authored by Alexei Rybkin

Since Specialization
Citations

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

Fields of papers citing papers by Alexei Rybkin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexei Rybkin

This figure shows the co-authorship network connecting the top 25 collaborators of Alexei Rybkin. A scholar is included among the top collaborators of Alexei Rybkin 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 Alexei Rybkin. Alexei Rybkin 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.
Rybkin, Alexei. (2024). Trace formulas revisited and a new representation of KdV solutions with short-range initial data. Nonlinearity. 37(11). 115008–115008.
2.
Rybkin, Alexei, et al.. (2024). Inverse non-linear problem of the long-wave run-up on coast. Journal of Ocean Engineering and Marine Energy. 10(4). 941–952. 1 indexed citations
3.
Rybkin, Alexei. (2023). Norming Constants of Embedded Bound States and Bounded Positon Solutions of the Korteweg-de Vries Equation. Communications in Mathematical Physics. 401(3). 2433–2458.
4.
Rybkin, Alexei. (2023). A continuous analog of the binary Darboux transformation for the Korteweg–de Vries equation. Studies in Applied Mathematics. 151(1). 208–246. 1 indexed citations
5.
Dutykh, Denys, et al.. (2022). Fast shallow water-wave solver for plane inclined beaches. SoftwareX. 17. 100983–100983. 5 indexed citations
6.
Rybkin, Alexei. (2021). The effect of a positive bound state on the KdV solution: a case study *. Nonlinearity. 34(2). 1238–1261. 5 indexed citations
7.
Rybkin, Alexei, et al.. (2021). Robust Computations of Runup in Inclined U- and V-Shaped Bays. Pure and Applied Geophysics. 178(12). 5017–5029. 4 indexed citations
8.
9.
Nicolsky, Dmitry, et al.. (2018). General initial value problem for the nonlinear shallow water equations: Runup of long waves on sloping beaches and bays. Physics Letters A. 382(38). 2738–2743. 12 indexed citations
10.
Nicolsky, Dmitry, et al.. (2018). Long Wave Runup in Asymmetric Bays and in Fjords With Two Separate Heads. Journal of Geophysical Research Oceans. 123(3). 2066–2080. 8 indexed citations
11.
Nicolsky, Dmitry, et al.. (2017). Run-Up of Long Waves in Piecewise Sloping U-Shaped Bays. Pure and Applied Geophysics. 174(8). 3185–3207. 15 indexed citations
12.
Grudsky, Sergei M. & Alexei Rybkin. (2014). On positive type initial profiles for the KdV equation. Proceedings of the American Mathematical Society. 142(6). 2079–2086. 8 indexed citations
13.
Rybkin, Alexei. (2010). Meromorphic solutions to the KdV equation with non-decaying initial data supported on a left half line. Nonlinearity. 23(5). 1143–1167. 10 indexed citations
14.
Rybkin, Alexei & Vu Kim Tuan. (2009). A new interpolation formula for the Titchmarsh-Weyl 𝑚-function. Proceedings of the American Mathematical Society. 137(12). 4177–4185. 4 indexed citations
15.
Rybkin, Alexei. (2006). The analytic structure of the reflection coefficient, a sum rule and a complete description of the Weyl m-function of half-line Schrödinger operators with L2-type potentials. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 136(3). 615–632. 1 indexed citations
16.
17.
Rybkin, Alexei, et al.. (2003). Higher order trace formulas of the Buslaev–Faddeev-type for the half-line Schrödinger operator with long-range potentials. Journal of Mathematical Physics. 44(7). 2748–2761. 3 indexed citations
18.
Rybkin, Alexei. (2001). On a complete analysis of high-energy scattering matrix asymptotics for one dimensional Schrödinger operators with integrable potentials. Proceedings of the American Mathematical Society. 130(1). 59–67. 5 indexed citations
19.
Rybkin, Alexei. (1996). On A-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory. Duke Mathematical Journal. 83(3). 7 indexed citations
20.
Rybkin, Alexei. (1993). Duality of Lipschitz and Besov classes and the Stieltjes B-integral. Mathematical Notes. 53(1). 72–76. 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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