Mark J. Ablowitz

About

Mark J. Ablowitz is a CU Distinguished Professor in the Department of Applied Mathematics at the University of Colorado Boulder. His research interests include nonlinear phenomena, physical applied mathematics, and related fields. He is associated with the Applied Mathematics program located in the Engineering Center at CU Boulder, and his contact information includes an email address (mark.ablowitz@colorado.edu) and phone number (303-492-5502). His work focuses on the study and analysis of nonlinear phenomena within applied mathematics, contributing to the understanding of complex physical systems through mathematical modeling and analysis.

Research topics

• Quantum mechanics
• Physics
• Mathematics
• Geometry
• Mathematical physics
• Mathematical analysis

Selected publications

• Integrable space-time shifted nonlocal nonlinear equations

  Physics Letters A · 2021 · 81 citations

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• Nonlinear Dispersive Waves

  Advances in mathematical fluid mechanics · 2024 · 80 citations

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• Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics

  Studies in Applied Mathematics · 2023-07-09 · 30 citations

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  Abstract The mathematical description of localized solitons in the presence of large‐scale waves is a fundamental problem in nonlinear science, with applications in fluid dynamics, nonlinear optics, and condensed matter physics. Here, the evolution of a soliton as it interacts with a rarefaction wave or a dispersive shock wave, examples of slowly varying and rapidly oscillating dispersive mean fields, for the Korteweg–de Vries equation is studied. Step boundary conditions give rise to either a r…

  PublisherDOI

• Nonlinear waves and the Inverse Scattering Transform

  Optik · 2023-02-25 · 27 citations

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• Fractional integrable and related discrete nonlinear Schrödinger equations

  Physics Letters A · 2022-09-23 · 21 citations

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Recent grants

• Collaborative Research: Mathematical and Computational Meghods for High-Performance Lightwave Systems

  NSF · $121k · 2005–2009

• Nonlinear Wave Motion

  NSF · $266k · 2013–2017

• Nonlinear Wave Motion

  NSF · $335k · 2009–2014

Frequent coauthors

• A. S. Fokas

  University of Cambridge

  62 shared

• Sarbarish Chakravarty

  University of Colorado Colorado Springs

  58 shared

• B. M. Herbst

  Stellenbosch University

  47 shared

• B. Prinari

  47 shared

• Ziad H. Musslimani

  Florida State University

  42 shared

• Javier Villarroel

  Universidad de Salamanca

  40 shared

• A. D. Trubatch

  Montclair State University

  40 shared

• C.M. Schober

  36 shared

Education

• Ph.D., Mathematics

  University of California, San Diego

  1974

• B.S., Mathematics

  University of California, San Diego

  1969

Awards & honors

• CU Distinguished Professor

Similar researchers at University of Colorado Boulder

• James Curryh-64
• Gregory Beylkinh-47
• Mark Hoeferh-32