Mark J. Ablowitz
Impact in
- Statistical and Nonlinear Physics top 0.01%
- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Mathematical Physics top 0.02%
- Advanced Mathematical Physics Problems
Papers in
-
- Nonlinear Photonic Systems 206
- Nonlinear Waves and Solitons 203
-
- Advanced Fiber Laser Technologies 92
- Quantum Mechanics and Non-Hermitian Physics 21
- Co-authors
- Harvey Segur (18 shared papers)Ziad H. Musslimani (22 shared papers)Alan C. Newell (6 shared papers)J. F. Ladik (5 shared papers)D. J. Kaup (4 shared papers)A. S. Fokas (25 shared papers)Junkichi Satsuma (7 shared papers)A. Ramani (3 shared papers)
- Journals
- Studies in Applied Mathematics (43 papers)Physical Review Letters (21 papers)Optics Letters (20 papers)Physics Letters A (19 papers)Physica D Nonlinear Phenomena (15 papers)
- Partner nations
- United StatesItalyGreece
In The Last Decade
Mark J. Ablowitz
301 papers receiving 23.1k citations
Mark J. Ablowitz's Hit Papers
Peers
Comparison fields: 5 of 109
- Statistical and Nonlinear Physics 21.3k
- Mathematical Physics 5.0k
- Numerical Analysis 2.4k
- Modeling and Simulation 2.0k
- Geometry and Topology 3.7k
Countries citing papers authored by Mark J. Ablowitz
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
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-authors
The 25 scholars most cited alongside Mark J. Ablowitz, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 310 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Solitons and the Inverse Scattering Transform Hit paper breakdown → | 1981 | 3391 |
| 2 | The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems Hit paper breakdown → | 1974 | 2222 |
| 3 | Nonlinear-Evolution Equations of Physical Significance Hit paper breakdown → | 1973 | 811 |
| 4 | A connection between nonlinear evolution equations and ordinary differential equations of P-type. I Hit paper breakdown → | 1980 | 722 |
| 5 | Nonlinear differential–difference equations and Fourier analysis Hit paper breakdown → | 1976 | 679 |
| 6 | Nonlinear differential−difference equations Hit paper breakdown → | 1975 | 669 |
| 7 | Integrable Nonlocal Nonlinear Schrödinger Equation Hit paper breakdown → | 2013 | 653 |
| 8 | Method for Solving the Sine-Gordon Equation Hit paper breakdown → | 1973 | 610 |
| 9 | Two-dimensional lumps in nonlinear dispersive systems Hit paper breakdown → | 1979 | 595 |
| 10 | Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation Hit paper breakdown → | 2016 | 425 |
| 11 | 2003 | 411 | |
| 12 | 1978 | 394 | |
| 13 | 1978 | 386 | |
| 14 | Integrable Nonlocal Nonlinear Equations Hit paper breakdown → | 2016 | 385 |
| 15 | 1979 | 367 | |
| 16 | 1976 | 358 | |
| 17 | 2003 | 318 | |
| 18 | 2011 | 306 | |
| 19 | 1977 | 271 | |
| 20 | 1979 | 255 |
About Mark J. Ablowitz
Mark J. Ablowitz is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics, Mathematical Physics, Electrical and Electronic Engineering and Numerical Analysis, having authored 310 papers that have together received 24.9k indexed citations. Recurring topics across this work include Nonlinear Photonic Systems (206 papers), Nonlinear Waves and Solitons (203 papers), Advanced Fiber Laser Technologies (92 papers), Advanced Mathematical Physics Problems (65 papers), Optical Network Technologies (26 papers), Numerical methods for differential equations (22 papers), Ocean Waves and Remote Sensing (21 papers) and Quantum Mechanics and Non-Hermitian Physics (21 papers). The work is most often cited by research in Statistical and Nonlinear Physics (21.3k citations), Mathematical Physics (5.0k citations), Numerical Analysis (2.4k citations), Modeling and Simulation (2.0k citations) and Geometry and Topology (3.7k citations). Mark J. Ablowitz has collaborated with scholars based in United States, Italy and Greece. Frequent 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 Gino Biondini. Their work appears in journals such as Studies in Applied Mathematics, Physical Review Letters, Optics Letters, Physics Letters A and Physica D Nonlinear Phenomena.
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.