Alexander Tovbis

1.3k total citations
54 papers, 749 citations indexed

About

Alexander Tovbis is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Alexander Tovbis has authored 54 papers receiving a total of 749 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Statistical and Nonlinear Physics, 24 papers in Mathematical Physics and 15 papers in Applied Mathematics. Recurrent topics in Alexander Tovbis's work include Nonlinear Waves and Solitons (30 papers), Nonlinear Photonic Systems (21 papers) and Advanced Mathematical Physics Problems (14 papers). Alexander Tovbis is often cited by papers focused on Nonlinear Waves and Solitons (30 papers), Nonlinear Photonic Systems (21 papers) and Advanced Mathematical Physics Problems (14 papers). Alexander Tovbis collaborates with scholars based in United States, Canada and United Kingdom. Alexander Tovbis's co-authors include Marco Bertola, G. A. Él, Stephanos Venakides, Xin Zhou, Stéphane Randoux, Pierre Suret, Roger Grimshaw, Goëry Genty, Thibaut Sylvestre and François Gustave and has published in prestigious journals such as Physical Review Letters, Communications in Mathematical Physics and Physics Letters A.

In The Last Decade

Alexander Tovbis

47 papers receiving 725 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alexander Tovbis United States 15 598 250 232 77 65 54 749
Reşat Yılmazer Türkiye 18 849 1.4× 95 0.4× 204 0.9× 27 0.4× 62 1.0× 55 958
Yu‐Feng Wang China 17 589 1.0× 118 0.5× 289 1.2× 15 0.2× 78 1.2× 68 742
Kalim U. Tariq Pakistan 20 1.4k 2.4× 188 0.8× 407 1.8× 38 0.5× 29 0.4× 105 1.5k
R. Radha India 17 754 1.3× 151 0.6× 304 1.3× 32 0.4× 55 0.8× 54 912
V. M. Eleonskiǐ 10 583 1.0× 80 0.3× 428 1.8× 86 1.1× 17 0.3× 31 704
Micheline Musette Belgium 16 923 1.5× 123 0.5× 192 0.8× 24 0.3× 25 0.4× 54 990
三樹 和達 4 380 0.6× 94 0.4× 138 0.6× 20 0.3× 23 0.4× 4 471
Shoufeng Shen China 17 795 1.3× 117 0.5× 197 0.8× 12 0.2× 38 0.6× 105 885
Тамара Грава Italy 15 479 0.8× 294 1.2× 90 0.4× 11 0.1× 55 0.8× 47 612
Zhengde Dai China 29 1.9k 3.2× 427 1.7× 282 1.2× 39 0.5× 12 0.2× 128 2.0k

Countries citing papers authored by Alexander Tovbis

Since Specialization
Citations

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

Fields of papers citing papers by Alexander Tovbis

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexander Tovbis

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Tovbis. A scholar is included among the top collaborators of Alexander Tovbis 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 Tovbis. Alexander Tovbis 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.
Él, G. A., et al.. (2024). Statistics of Extreme Events in Integrable Turbulence. Physical Review Letters. 132(20). 207201–207201. 13 indexed citations
2.
Biondini, Gino, et al.. (2023). On the spectrum of the periodic focusing Zakharov–Shabat operator. Journal of Spectral Theory. 12(3). 939–992. 4 indexed citations
3.
Bertola, Marco, Robert Jenkins, & Alexander Tovbis. (2023). Partial degeneration of finite gap solutions to the Korteweg–de Vries equation: soliton gas and scattering on elliptic backgrounds. Nonlinearity. 36(7). 3622–3660. 20 indexed citations
4.
Biondini, Gino, et al.. (2023). Elliptic finite-band potentials of a non-self-adjoint Dirac operator. Advances in Mathematics. 429. 109188–109188. 1 indexed citations
5.
Tovbis, Alexander & Fudong Wang. (2022). Recent developments in spectral theory of the focusing NLS soliton and breather gases: the thermodynamic limit of average densities, fluxes and certain meromorphic differentials; periodic gases. Journal of Physics A Mathematical and Theoretical. 55(42). 424006–424006. 12 indexed citations
6.
Bertola, Marco, Alexander Katsevich, & Alexander Tovbis. (2022). On the spectral properties of the Hilbert transform operator on multi-intervals. Journal of Spectral Theory. 12(2). 339–379.
7.
Kuijlaars, Arno B. J. & Alexander Tovbis. (2021). On minimal energy solutions to certain classes of integral equations related to soliton gases for integrable systems. arXiv (Cornell University). 7 indexed citations
8.
Él, G. A. & Alexander Tovbis. (2020). Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation. Physical review. E. 101(5). 52207–52207. 48 indexed citations
9.
Billet, Cyril, G. A. Él, Alexander Tovbis, et al.. (2017). Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation. Physical Review Letters. 119(3). 33901–33901. 100 indexed citations
10.
Bertola, Marco, G. A. Él, & Alexander Tovbis. (2016). Rogue Waves In Multiphase Solutions Of The Focusing Nonlinear Schrödinger Equation. Journal of International Crisis and Risk Communication Research. 29 indexed citations
11.
Bertola, Marco & Alexander Tovbis. (2015). Asymptotics of Orthogonal Polynomials with Complex Varying Quartic Weight: Global Structure, Critical Point Behavior and the First Painlevé Equation. Constructive Approximation. 41(3). 529–587. 11 indexed citations
12.
Bertola, Marco, Alexander Katsevich, & Alexander Tovbis. (2014). Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann‐Hilbert Problem Approach. Communications on Pure and Applied Mathematics. 69(3). 407–477. 5 indexed citations
13.
Bertola, Marco, Alexander Katsevich, & Alexander Tovbis. (2013). Inversion formulae for the $\mathrm {\cosh }$-weighted Hilbert transform. Proceedings of the American Mathematical Society. 141(8). 2703–2718.
14.
Tovbis, Alexander & Stephanos Venakides. (2011). Semiclassical Limit of the Scattering Transform for the Focusing Nonlinear Schrodinger Equation. International Mathematics Research Notices. 5 indexed citations
15.
Tovbis, Alexander & Mark A. Hoefer. (2010). Semiclassical dynamics of quasi-one-dimensional, attractive Bose–Einstein condensates. Physics Letters A. 375(3). 726–732. 3 indexed citations
16.
Tovbis, Alexander, Stephanos Venakides, & Xin Zhou. (2006). On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case. Communications on Pure and Applied Mathematics. 59(10). 1379–1432. 20 indexed citations
17.
Tovbis, Alexander, et al.. (2002). On formal solutions of linear matrix differential–difference equations. Linear Algebra and its Applications. 345(1-3). 29–42. 3 indexed citations
18.
Tovbis, Alexander. (2000). Normal forms of “near similarity” transformations and linear matrix equations. Linear Algebra and its Applications. 317(1-3). 13–40. 2 indexed citations
19.
Tovbis, Alexander. (1994). Nonlinear Ordinary Differential Equations Resolvable with Respect to an Irregular Singular Point. Journal of Differential Equations. 109(1). 201–221. 7 indexed citations
20.
Tovbis, Alexander. (1992). Normal forms of holomorphic matrix-valued functions and corresponding forms for singular differential operators. Linear Algebra and its Applications. 162-164. 389–407. 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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