Fábio Natali

634 total citations
41 papers, 384 citations indexed

About

Fábio Natali is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Control and Systems Engineering. According to data from OpenAlex, Fábio Natali has authored 41 papers receiving a total of 384 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Mathematical Physics, 35 papers in Statistical and Nonlinear Physics and 10 papers in Control and Systems Engineering. Recurrent topics in Fábio Natali's work include Advanced Mathematical Physics Problems (38 papers), Nonlinear Photonic Systems (32 papers) and Nonlinear Waves and Solitons (29 papers). Fábio Natali is often cited by papers focused on Advanced Mathematical Physics Problems (38 papers), Nonlinear Photonic Systems (32 papers) and Nonlinear Waves and Solitons (29 papers). Fábio Natali collaborates with scholars based in Brazil, Canada and Türkiye. Fábio Natali's co-authors include Jaime Angulo Pava, Ademir Pastor, Marcelo M. Cavalcanti, V. N. Domingos Cavalcanti, Dmitry E. Pelinovsky, F. La Franca, S. Cristiani, E. Giallongo, Anna Geyer and J.A. Soriano and has published in prestigious journals such as The Astronomical Journal, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Fábio Natali

38 papers receiving 348 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Fábio Natali Brazil 13 303 290 72 35 35 41 384
Kimitoshi Tsutaya Japan 10 306 1.0× 164 0.6× 101 1.4× 8 0.2× 118 3.4× 33 335
N. Manganaro Italy 12 216 0.7× 219 0.8× 102 1.4× 16 0.5× 220 6.3× 41 416
T. Tao United States 3 338 1.1× 242 0.8× 65 0.9× 7 0.2× 145 4.1× 4 389
Elena Kopylova Russia 11 328 1.1× 204 0.7× 54 0.8× 4 0.1× 43 1.2× 51 346
Roland Donninger Austria 10 240 0.8× 89 0.3× 62 0.9× 73 2.1× 78 2.2× 23 283
Martin Staley United States 4 222 0.7× 362 1.2× 21 0.3× 8 0.2× 74 2.1× 4 409
Shuji Machihara Japan 12 372 1.2× 97 0.3× 79 1.1× 8 0.2× 257 7.3× 35 468
Makoto Nakamura Japan 12 353 1.2× 99 0.3× 136 1.9× 11 0.3× 204 5.8× 37 386
Jacob Sterbenz United States 10 427 1.4× 155 0.5× 75 1.0× 86 2.5× 221 6.3× 14 480
Sebastian Herr Germany 12 511 1.7× 256 0.9× 100 1.4× 5 0.1× 259 7.4× 30 542

Countries citing papers authored by Fábio Natali

Since Specialization
Citations

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

Fields of papers citing papers by Fábio Natali

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Fábio Natali

This figure shows the co-authorship network connecting the top 25 collaborators of Fábio Natali. A scholar is included among the top collaborators of Fábio Natali 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 Fábio Natali. Fábio Natali 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.
Natali, Fábio, et al.. (2025). Instability of the peaked travelling wave in a local model for shallow water waves. 1. 1 indexed citations
2.
Natali, Fábio, et al.. (2024). Stability of periodic waves for the defocusing fractional cubic nonlinear Schrödinger equation. Communications in Nonlinear Science and Numerical Simulation. 133. 107953–107953. 1 indexed citations
3.
Natali, Fábio, et al.. (2024). Monotonicity of the period map for the equation $$-\varphi ''+\varphi -\varphi ^{k}=0$$. Monatshefte für Mathematik. 204(1). 1–14. 1 indexed citations
4.
Natali, Fábio, et al.. (2023). Orbital stability of periodic traveling waves for the "abcd'' Boussinesq systems. Communications on Pure & Applied Analysis. 22(3). 922–945. 1 indexed citations
5.
Natali, Fábio, et al.. (2022). Periodic waves for the cubic-quintic nonlinear Schrodinger equation: Existence and orbital stability. Discrete and Continuous Dynamical Systems - B. 28(2). 854–854.
6.
Geyer, Anna, et al.. (2021). Stability of smooth periodic travelling waves in the Camassa–Holm equation. Studies in Applied Mathematics. 148(1). 27–61. 22 indexed citations
7.
Natali, Fábio, et al.. (2020). New variational characterization of periodic waves in the fractional Korteweg–de Vries equation. Nonlinearity. 33(4). 1956–1986. 13 indexed citations
8.
Natali, Fábio, et al.. (2020). A comment about the paper “On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation”. Journal of Differential Equations. 269(5). 4598–4608. 5 indexed citations
9.
Natali, Fábio, et al.. (2018). Well-Posedness and Orbital Stability of Periodic Traveling Waves for Schamel's Equation. Zeitschrift für Analysis und ihre Anwendungen. 37(2). 221–250. 4 indexed citations
10.
Natali, Fábio, et al.. (2017). Orbital stability of periodic traveling-wave solutions for the log-KdV equation. Journal of Differential Equations. 263(5). 2630–2660. 5 indexed citations
11.
Natali, Fábio, et al.. (2017). Orbital stability of periodic traveling wave solutions for the Kawahara equation. Journal of Mathematical Physics. 58(5). 4 indexed citations
12.
Natali, Fábio. (2016). A NOTE ON THE EXPONENTIAL DECAY FOR THE NONLINEAR SCHRÖDINGER EQUATION. Osaka Journal of Mathematics. 53(3). 717–729. 2 indexed citations
13.
Pava, Jaime Angulo & Fábio Natali. (2014). (Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations. Advances in Nonlinear Analysis. 3(2). 95–123. 12 indexed citations
14.
Natali, Fábio, et al.. (2014). An example of non-decreasing solution for the KdV equation posed on a bounded interval. Comptes Rendus Mathématique. 352(5). 421–424. 6 indexed citations
15.
Natali, Fábio, et al.. (2013). Stability properties of periodic waves for the Klein–Gordon equation with quintic nonlinearity. Applied Mathematics and Computation. 224. 581–592. 7 indexed citations
16.
Natali, Fábio. (2011). On periodic waves for sine- and sinh-Gordon equations. Journal of Mathematical Analysis and Applications. 379(1). 334–350. 6 indexed citations
17.
Natali, Fábio. (2010). A note on the stability for Kawahara–KdV type equations. Applied Mathematics Letters. 23(5). 591–596. 18 indexed citations
18.
19.
Natali, Fábio & Ademir Pastor. (2008). Stability and instability of periodic standing wave solutions for some Klein–Gordon equations. Journal of Mathematical Analysis and Applications. 347(2). 428–441. 19 indexed citations
20.
Natali, Fábio, E. Giallongo, S. Cristiani, & F. La Franca. (1998). The Optical-Ultraviolet Continuum of a Sample of QSO[CLC]s[/CLC]. The Astronomical Journal. 115(2). 397–404. 35 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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