2026 Mark J. Ablowitz: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	89	75	62	46	36	399	48494

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

399

48494

Research.com Recognitions

2026 - Research.com Mathematics in United States Leader Award
2025 - Research.com Mathematics in United States Leader Award
2013 - Fellow of the American Mathematical Society
2011 - SIAM Fellow For contributions to the theory and application of nonlinear waves.
1983 - Fellow of John Simon Guggenheim Memorial Foundation
1975 - Fellow of Alfred P. Sloan Foundation

Overview

Mark J. Ablowitz is affiliated with the University of Colorado Boulder in the United States. Their research spans the fields of Physics and Astronomy as well as Mathematics, with a particular focus on Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, Numerical Analysis, Mathematical Physics, and Modeling and Simulation.

Their main areas of study include the following topics:

Nonlinear Waves and Solitons
Nonlinear Photonic Systems
Numerical methods for differential equations
Topological Materials and Phenomena
Advanced Mathematical Physics Problems
Quantum Mechanics and Non-Hermitian Physics
Fractional Differential Equations Solutions

Key recent papers by Mark J. Ablowitz include:

Integrable space-time shifted nonlocal nonlinear equations, 2021, Physics Letters A
Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons, 2020, Nonlinearity
Transverse Instability of Rogue Waves, 2021, Physical Review Letters
Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators, 2022, Physica D Nonlinear Phenomena
Nonlinear waves and the Inverse Scattering Transform, 2023, Optik

They have frequently collaborated with the following co-authors:

Justin T. Cole
A. S. Fokas
Ziad H. Musslimani
Joel B. Been
Sean Nixon

Their work has appeared predominantly in several publication venues, including:

arXiv (Cornell University)
Studies in Applied Mathematics
Physics Letters A
Physical Review Letters
Physica D Nonlinear Phenomena

Mark J. Ablowitz has also authored books published by notable publishers. These include:

Nonlinear Dispersive Waves, 2024, published by Advances in Mathematical Fluid Mechanics
Introduction to Complex Variables and Applications, 2021, published by Cambridge University Press

The scientist has received several professional recognitions, including:

Fellow of the American Mathematical Society, 2013
SIAM Fellow, 2011, for contributions to the theory and application of nonlinear waves
Fellow of John Simon Guggenheim Memorial Foundation, 1983
Fellow of Alfred P. Sloan Foundation, 1975

Best Publications

Solitons and the Inverse Scattering Transform

Mark J. Ablowitz;Harvey Segur

6232
Citations
The Inverse scattering transform fourier analysis for nonlinear problems

Mark J. Ablowitz;David J. Kaup;Alan C. Newell;Harvey Segur

3903
Citations
Nonlinear-evolution equations of physical significance

Mark J. Ablowitz;David J. Kaup;Alan C. Newell;Harvey Segur

1323
Citations
A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II

M. J. Ablowitz;A. Ramani;H. Segur

1288
Citations
Complex Variables: Introduction and Applications

Mark J. Ablowitz;Athanassios S. Fokas

1286
Citations
Method for Solving the Sine-Gordon Equation

M. J. Ablowitz;D. J. Kaup;A. C. Newell;H. Segur

1218
Citations
Nonlinear differential–difference equations and Fourier analysis

M. J. Ablowitz;J. F. Ladik

1151
Citations
Nonlinear differential−difference equations

M. J. Ablowitz;J. F. Ladik

1063
Citations
Discrete and continuous nonlinear Schrödinger systems

Mark J. Ablowitz;B. Prinari;A. D. Trubatch

951
Citations
Integrable nonlocal nonlinear Schrödinger equation.

Mark J. Ablowitz;Ziad H. Musslimani

891
Citations
Two‐dimensional lumps in nonlinear dispersive systems

J. Satsuma;M. J. Ablowitz

744
Citations
Nonlinear evolution equations and ordinary differential equations of painlevè type

M. J. Ablowitz;A. Ramani;H. Segur

727
Citations
On the evolution of packets of water waves

Mark J. Ablowitz;Harvey Segur

607
Citations
A Nonlinear Difference Scheme and Inverse Scattering

M. J. Ablowitz;J. F. Ladik

591
Citations
Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons

Mark J. Ablowitz

578
Citations
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

Mark J Ablowitz;Ziad H Musslimani

578
Citations
Integrable Nonlocal Nonlinear Equations

Mark J. Ablowitz;Ziad H. Musslimani

539
Citations
Explicit solutions of Fisher's equation for a special wave speed

Mark J. Ablowitz;Anthony Zeppetella

536
Citations
Solitons and rational solutions of nonlinear evolution equations

M. J. Ablowitz;J. Satsuma

513
Citations
Exact Linearization of a Painlevé Transcendent

Mark J. Ablowitz;Harvey Segur

509
Citations

Frequent Co-Authors

Athanassios S. Fokas University of Cambridge

Gino Biondini University at Buffalo, State University of New York

Harvey Segur University of Colorado Boulder

Yuji Kodama The Ohio State University

Alan C. Newell University of Arizona

Peter A. Clarkson University of Kent

Richard Beals Yale University

Steven T. Cundiff University of Michigan–Ann Arbor

Rafael Piestun University of Colorado Boulder

Junkichi Satsuma Musashino University

External Links

Wikipedia of Mark J. Ablowitz Personal website of Mark J. Ablowitz Google Scholar page

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Fields such as finance, marketing, and business administration often complement mathematical skills, leading to high-demand roles.

Those interested in finance can consider the cheapest masters in finance, providing a cost-effective path to mastering financial analysis and quantitative methods. This degree pairs well with a strong math background.

Business professionals looking for flexibility might explore accelerated mba programs online, which offer comprehensive business training in a shorter time frame without compromising quality.

Marketing is another dynamic field, where combining analytical skills with creativity is key. Students can review options like the marketing masters to gain expertise in market analytics and strategy.

For those aiming for leadership roles, exploring 12 month mba programs offers an efficient way to accelerate career advancement while building on quantitative skills developed during their math studies.