Mark J. Ablowitz

34.8k total citations · 11 hit papers
310 papers, 24.6k citations indexed

About

Mark J. Ablowitz is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Mathematical Physics. According to data from OpenAlex, Mark J. Ablowitz has authored 310 papers receiving a total of 24.6k indexed citations (citations by other indexed papers that have themselves been cited), including 252 papers in Statistical and Nonlinear Physics, 133 papers in Atomic and Molecular Physics, and Optics and 70 papers in Mathematical Physics. Recurrent topics in Mark J. Ablowitz's work include Nonlinear Photonic Systems (206 papers), Nonlinear Waves and Solitons (203 papers) and Advanced Fiber Laser Technologies (92 papers). Mark J. Ablowitz is often cited by papers focused on Nonlinear Photonic Systems (206 papers), Nonlinear Waves and Solitons (203 papers) and Advanced Fiber Laser Technologies (92 papers). Mark J. Ablowitz collaborates with scholars based in United States, Italy and Greece. Mark J. Ablowitz's co-authors include Harvey Segur, Ziad H. Musslimani, Alan C. Newell, J. F. Ladik, D. J. Kaup, A. S. Fokas, Junkichi Satsuma, A. Ramani, B. M. Herbst and B. Prinari and has published in prestigious journals such as Physical Review Letters, Nature Communications and The Journal of Chemical Physics.

In The Last Decade

Mark J. Ablowitz

299 papers receiving 22.8k citations

Hit Papers

5 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Solitons and the Inverse Scattering Transform

1981 3.4k citations Mark J. Ablowitz et al. profile →
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

1974 2.2k citations Mark J. Ablowitz et al. Studies in Applied Mathematics profile →
Nonlinear-Evolution Equations of Physical Significance

1973 804 citations Mark J. Ablowitz et al. Physical Review Letters profile →
A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

1980 714 citations Mark J. Ablowitz et al. profile →
Nonlinear differential–difference equations and Fourier analysis

1976 669 citations Mark J. Ablowitz et al. profile →
Nonlinear differential−difference equations

1975 655 citations Mark J. Ablowitz et al. profile →
Integrable Nonlocal Nonlinear Schrödinger Equation

2013 649 citations Mark J. Ablowitz, Ziad H. Musslimani Physical Review Letters profile →
Method for Solving the Sine-Gordon Equation

1973 605 citations Mark J. Ablowitz et al. Physical Review Letters profile →
Two-dimensional lumps in nonlinear dispersive systems

1979 594 citations Mark J. Ablowitz et al. profile →
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

2016 429 citations Mark J. Ablowitz, Ziad H. Musslimani Nonlinearity profile →
Integrable Nonlocal Nonlinear Equations

2016 388 citations Mark J. Ablowitz, Ziad H. Musslimani Studies in Applied Mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Mark J. Ablowitz United States	68	21.1k	8.8k	5.0k	3.6k	2.4k	310	24.6k
В. Е. Захаров Russia	67	10.8k 0.5×	5.4k 0.6×	3.2k 0.7×	1.4k 0.4×	986 0.4×	302	18.5k
Harvey Segur United States	33	9.8k 0.5×	2.9k 0.3×	2.4k 0.5×	1.8k 0.5×	1.1k 0.5×	70	11.5k
Wen‐Xiu Ma China	86	22.3k 1.1×	4.4k 0.5×	2.7k 0.6×	6.3k 1.7×	1.9k 0.8×	500	23.2k
Martin D. Kruskal United States	35	8.8k 0.4×	4.2k 0.5×	2.1k 0.4×	1.2k 0.3×	1.1k 0.5×	73	14.1k
A. S. Fokas United Kingdom	61	10.7k 0.5×	2.1k 0.2×	3.8k 0.8×	3.1k 0.8×	2.3k 0.9×	315	13.6k
Anjan Biswas United States	101	34.7k 1.6×	19.0k 2.2×	2.1k 0.4×	2.9k 0.8×	2.0k 0.8×	1.1k	36.7k
Alan C. Newell United States	54	9.3k 0.4×	4.9k 0.6×	1.9k 0.4×	1.2k 0.3×	902 0.4×	179	15.0k
Abdul–Majid Wazwaz United States	92	26.0k 1.2×	5.3k 0.6×	3.7k 0.7×	4.6k 1.3×	8.4k 3.5×	736	34.3k
Ryogo Hirota Japan	44	12.7k 0.6×	3.4k 0.4×	1.8k 0.4×	3.7k 1.0×	1.2k 0.5×	104	13.5k
D. J. Kaup United States	40	9.1k 0.4×	4.9k 0.6×	2.0k 0.4×	1.2k 0.3×	737 0.3×	198	11.4k

Countries citing papers authored by Mark J. Ablowitz

Since Specialization

Citations

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

Fields of papers citing papers by Mark J. Ablowitz

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark J. Ablowitz. 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 Mark J. Ablowitz. The network helps show where Mark J. Ablowitz may publish in the future.

Co-authorship network of co-authors of Mark J. Ablowitz

This figure shows the co-authorship network connecting the top 25 collaborators of Mark J. Ablowitz. A scholar is included among the top collaborators of Mark J. Ablowitz 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 Mark J. Ablowitz. Mark J. Ablowitz is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Ablowitz, Mark J., et al.. (2024). Inverse scattering transform for continuous and discrete space‐time‐shifted integrable equations. Studies in Applied Mathematics. 153(4). 8 indexed citations

Ablowitz, Mark J.. (2023). Nonlinear waves and the Inverse Scattering Transform. Optik. 278. 170710–170710. 22 indexed citations

Ablowitz, Mark J., et al.. (2022). Integrable fractional modified Korteweg–deVries, sine-Gordon, and sinh-Gordon equations. Journal of Physics A Mathematical and Theoretical. 55(38). 384010–384010. 1 indexed citations

Ablowitz, Mark J., Xu‐Dan Luo, & Ziad H. Musslimani. (2020). Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons. Nonlinearity. 33(7). 3653–3707. 39 indexed citations

Ablowitz, Mark J., et al.. (2017). A universal asymptotic regime in the hyperbolic nonlinear \nSchrodinger equation. Northumbria Research Link (Northumbria University). 7 indexed citations

Ablowitz, Mark J. & Ziad H. Musslimani. (2016). Integrable Nonlocal Nonlinear Equations. Studies in Applied Mathematics. 139(1). 7–59. 388 indexed citations breakdown →

Chong, Christopher, P. G. Kevrekidis, Mark J. Ablowitz, & Yi-Ping Ma. (2016). Conical wave propagation and diffraction in two-dimensional hexagonally packed granular lattices. Physical review. E. 93(1). 12909–12909. 6 indexed citations

Ablowitz, Mark J. & Ziad H. Musslimani. (2014). Integrable discretePTsymmetric model. Physical Review E. 90(3). 32912–32912. 164 indexed citations

Ablowitz, Mark J., et al.. (2013). パワー-エネルギー飽和モデルのダークソリトン: モード同期レーザーに対する応用. Journal of Physics A Mathematical and Theoretical. 46(9). 1–95201. 1 indexed citations

10.

Ablowitz, Mark J. & Yi Zhu. (2011). Nonlinear diffraction in photonic graphene. Optics Letters. 36(19). 3762–3762. 13 indexed citations

11.

Edelsbrunner, Herbert, Mark J. Ablowitz, E. J. Hinch, et al.. (2006). Geometry and Topology for Mesh Generation (Cambridge Monographs on Applied and Computational Mathematics). Cambridge University Press eBooks. 32 indexed citations

12.

Zomorodian, Afra, Mark J. Ablowitz, E. J. Hinch, et al.. (2005). Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics). Cambridge University Press eBooks. 55 indexed citations

13.

Hoefer, Mark A., Mark J. Ablowitz, Boaz Ilan, Matthew R. Pufall, & T. J. Silva. (2005). Theory of Magnetodynamics Induced by Spin Torque in Perpendicularly Magnetized Thin Films. Physical Review Letters. 95(26). 267206–267206. 59 indexed citations

14.

Ablowitz, Mark J., et al.. (2004). Reduction of collision-induced timing shifts in dispersion-managed quasi-linear systems with periodic-group-delay dispersion compensation. Optics Letters. 29(20). 2354–2354. 5 indexed citations

15.

Ablowitz, Mark J., Andrew Docherty, & Toshihiko Hirooka. (2003). Incomplete collisions in strongly dispersion-managed return-to-zero communication syst ems. Optics Letters. 28(14). 1191–1191. 8 indexed citations

16.

Shiu, Peter, Mark J. Ablowitz, & A. S. Fokas. (1999). Complex Variables: Introduction and Applications. The Mathematical Gazette. 83(496). 183–183. 23 indexed citations

17.

Ablowitz, Mark J. & Javier Villarroel. (1991). On the Kadomtsev‐Petviashvili Equation and Associated Constraints. Studies in Applied Mathematics. 85(3). 195–213. 38 indexed citations

18.

Ablowitz, Mark J., Martin D. Kruskal, & Benno Fuchssteiner. (1987). Topics in soliton theory and exactly solvable nonlinear equations : proceedings of the Conference on Nonlinear Evolution Equations, Solitons and the Inverse Scattering Transform, Oberwolfach, Germany, July 27-August 2, 1986. WORLD SCIENTIFIC eBooks. 20 indexed citations

19.

Schultz, Cherie L., et al.. (1987). Davey-Stewartson I - A Quantum 2+1 Dimensional Integrable System,. Defense Technical Information Center (DTIC). 1 indexed citations

20.

Ablowitz, Mark J., Benno Fuchssteiner, & Martin D. Kruskal. (1987). Topics in Soliton Theory and Exactly Solvable Nonlinear Equations. 1–354. 52 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.

Explore authors with similar magnitude of impact