Peter Topalov

1.5k total citations
71 papers, 845 citations indexed

About

Peter Topalov is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Peter Topalov has authored 71 papers receiving a total of 845 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Mathematical Physics, 33 papers in Statistical and Nonlinear Physics and 32 papers in Applied Mathematics. Recurrent topics in Peter Topalov's work include Nonlinear Waves and Solitons (27 papers), Advanced Mathematical Physics Problems (25 papers) and Geometric Analysis and Curvature Flows (22 papers). Peter Topalov is often cited by papers focused on Nonlinear Waves and Solitons (27 papers), Advanced Mathematical Physics Problems (25 papers) and Geometric Analysis and Curvature Flows (22 papers). Peter Topalov collaborates with scholars based in United States, Switzerland and France. Peter Topalov's co-authors include Thomas Kappeler, Vladimir S. Matveev, Adrian Constantin, Boris Kolev, Georgi Popov, Robert McOwen, Camillo De Lellis, Patrick Gérard, Peter Perry and Mikhail Shubin and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Peter Topalov

64 papers receiving 751 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Topalov United States 14 507 492 387 255 133 71 845
Anatol Odzijewicz Poland 14 229 0.5× 270 0.5× 194 0.5× 235 0.9× 79 0.6× 96 640
Chuu-Lian Terng United States 17 351 0.7× 278 0.6× 508 1.3× 557 2.2× 236 1.8× 41 926
Izu Vaisman Israel 18 328 0.6× 813 1.7× 627 1.6× 1.0k 4.1× 316 2.4× 90 1.6k
A. S. Mishchenko Russia 12 214 0.4× 305 0.6× 93 0.2× 241 0.9× 36 0.3× 70 592
Enríque G. Reyes Chile 14 482 1.0× 238 0.5× 85 0.2× 245 1.0× 31 0.2× 58 625
Maciej P. Wojtkowski United States 14 481 0.9× 399 0.8× 71 0.2× 167 0.7× 30 0.2× 32 637
Josef F. Dorfmeister Germany 15 135 0.3× 241 0.5× 496 1.3× 535 2.1× 89 0.7× 79 728
I. S. Krasil’shchik Russia 12 601 1.2× 199 0.4× 65 0.2× 339 1.3× 29 0.2× 48 737
Ana Cannas da Silva United States 8 140 0.3× 319 0.6× 67 0.2× 256 1.0× 46 0.3× 11 542
Gerald W. Schwarz United States 13 148 0.3× 575 1.2× 132 0.3× 612 2.4× 32 0.2× 45 902

Countries citing papers authored by Peter Topalov

Since Specialization
Citations

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

Fields of papers citing papers by Peter Topalov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Topalov

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Topalov. A scholar is included among the top collaborators of Peter Topalov 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 Peter Topalov. Peter Topalov 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.
Gérard, Patrick, Thomas Kappeler, & Peter Topalov. (2023). Sharp well-posedness results of the Benjamin–Ono equation in $H^s (\mathbb{T}, \mathbb{R})$ and qualitative properties of its solutions. Acta Mathematica. 231(1). 31–88. 13 indexed citations
2.
McOwen, Robert & Peter Topalov. (2023). Spatial Asymptotic Expansions in the Navier–Stokes Equation. International Mathematics Research Notices. 2024(4). 3391–3441.
3.
Gérard, Patrick, Thomas Kappeler, & Peter Topalov. (2022). On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions. Journal of Spectral Theory. 12(1). 169–193. 8 indexed citations
4.
McOwen, Robert & Peter Topalov. (2021). Perfect fluid flows on $$\mathbb {R}^d$$ with growth/decay conditions at infinity. Mathematische Annalen. 383(3-4). 1451–1488. 5 indexed citations
5.
Gérard, Patrick, Thomas Kappeler, & Peter Topalov. (2020). On the spectrum of the Lax operator of the Benjamin-Ono equation on the\n torus. arXiv (Cornell University). 10 indexed citations
6.
Kappeler, Thomas, et al.. (2018). Asymptotics of spectral quantities of Zakharov–Shabat operators. Journal of Differential Equations. 265(11). 5604–5653. 1 indexed citations
7.
Kappeler, Thomas, et al.. (2017). Scattering-like phenomena of the periodic defocusing NLS equation. Mathematical Research Letters. 24(3). 803–826. 10 indexed citations
8.
Kappeler, Thomas, et al.. (2014). Интерполяция нелинейных отображений. Математические заметки. 96(6). 896–904. 2 indexed citations
9.
Kappeler, Thomas, et al.. (2014). Results on qualitative features of periodic solutions of KdV. French digital mathematics library (Numdam). 1–7. 1 indexed citations
10.
Kappeler, Thomas, et al.. (2009). On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. Journal of Functional Analysis. 256(7). 2069–2112. 7 indexed citations
11.
Kappeler, Thomas, et al.. (2007). On the symplectic phase space of KdV. Proceedings of the American Mathematical Society. 136(5). 1691–1698. 5 indexed citations
12.
Constantin, Adrian, Thomas Kappeler, Boris Kolev, & Peter Topalov. (2006). On geodesic exponential maps of the Virasoro group. Annals of Global Analysis and Geometry. 31(2). 155–180. 110 indexed citations
13.
Kappeler, Thomas & Peter Topalov. (2005). Riccati map on L02(T) and its applications. Journal of Mathematical Analysis and Applications. 309(2). 544–566. 5 indexed citations
14.
Kappeler, Thomas, et al.. (2005). Birkhoff coordinates for KdV on phase spaces of distributions. Selecta Mathematica. 11(1). 37–98. 13 indexed citations
15.
Kappeler, Thomas & Peter Topalov. (2003). Riccati Representation for Elements in H-1(T) and its Applications. Zurich Open Repository and Archive (University of Zurich). 15. 171–188. 4 indexed citations
16.
Topalov, Peter. (2003). Geodesic compatibility and integrability of geodesic flows. Journal of Mathematical Physics. 44(2). 913–929. 12 indexed citations
17.
Matveev, Vladimir S. & Peter Topalov. (2001). Integrability in the theory of geodesically equivalent metrics. Journal of Physics A Mathematical and General. 34(11). 2415–2433. 10 indexed citations
18.
Topalov, Peter. (2000). Hierarchy of integrable geodesic flows. Publications mathématiques de l IHÉS. 44. 257–276. 1 indexed citations
19.
Matveev, Vladimir S. & Peter Topalov. (2000). Metric with ergodic geodesic flow is completely determined by unparameterized geodesics. 6(13). 98–104. 17 indexed citations
20.
Topalov, Peter. (1999). Tensor invariants of natural mechanical systems on compact surfaces and the corresponding integrals. Mathematical Notes. 66(3). 337–347. 2 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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