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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
89
Citations
48494
World Ranking
75
National Ranking
47

Mark J. Ablowitz publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Mark J. Ablowitz sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 399 publications — 94th percentile

94% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Mark J. Ablowitz D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Mark J. Ablowitz sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 89 D-Index — 98th percentile

98% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

  • The Inverse scattering transform fourier analysis for nonlinear problems

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

  • Nonlinear-evolution equations of physical significance

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

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

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

  • Complex Variables: Introduction and Applications

    Mark J. Ablowitz;Athanassios S. Fokas

  • Method for Solving the Sine-Gordon Equation

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

  • Nonlinear differential–difference equations and Fourier analysis

    M. J. Ablowitz;J. F. Ladik

  • Nonlinear differential−difference equations

    M. J. Ablowitz;J. F. Ladik

  • Discrete and continuous nonlinear Schrödinger systems

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

  • Integrable nonlocal nonlinear Schrödinger equation.

    Mark J. Ablowitz;Ziad H. Musslimani

  • Two‐dimensional lumps in nonlinear dispersive systems

    J. Satsuma;M. J. Ablowitz

  • Nonlinear evolution equations and ordinary differential equations of painlevè type

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

  • On the evolution of packets of water waves

    Mark J. Ablowitz;Harvey Segur

  • A Nonlinear Difference Scheme and Inverse Scattering

    M. J. Ablowitz;J. F. Ladik

  • Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons

    Mark J. Ablowitz

  • Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

    Mark J Ablowitz;Ziad H Musslimani

  • Integrable Nonlocal Nonlinear Equations

    Mark J. Ablowitz;Ziad H. Musslimani

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

    Mark J. Ablowitz;Anthony Zeppetella

  • Solitons and rational solutions of nonlinear evolution equations

    M. J. Ablowitz;J. Satsuma

  • Exact Linearization of a Painlevé Transcendent

    Mark J. Ablowitz;Harvey Segur

Frequent Co-Authors

Athanassios S. Fokas
Athanassios S. Fokas University of Cambridge
Gino Biondini
Gino Biondini University at Buffalo, State University of New York
Harvey Segur
Harvey Segur University of Colorado Boulder
Yuji Kodama
Yuji Kodama The Ohio State University
Alan C. Newell
Alan C. Newell University of Arizona
Peter A. Clarkson
Peter A. Clarkson University of Kent
Richard Beals
Richard Beals Yale University
Steven T. Cundiff
Steven T. Cundiff University of Michigan–Ann Arbor
Rafael Piestun
Rafael Piestun University of Colorado Boulder
Junkichi Satsuma
Junkichi Satsuma Musashino University

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