The University of Arizona

Nonlinear Waves

The study of Nonlinear Wave Phenomena is of broad scientific interest. It pertains to the understanding of real water waves, the interaction of light with matter, optical fiber transmission, traffic flow, earthquakes and galaxy formation. As a modern mathematical discipline nonlinear wave theory frequently explores asymptotic regimes (such as varying over many scales, high frequency or large amplitude) which are not easily accessible via numerical simulations. Faculty at Arizona have pioneered many of these explorations which include the description and analysis of solitary waves and their stability, zero-dispersion limits of integrable wave equations, blow-up in the nonlinear Schrödinger equation, ultra-short laser pulses, dispersion management of optical solitons, spatio-temporal chaos and wave turbulence. This continues to be a very active area of research within our Department.

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Members

Sergey Cherkis

Sergey Cherkis

Associate Professor, Mathematics
Nicholas M Ercolani

Nicholas M Ercolani

Professor, Applied Mathematics - GIDP
Professor, Mathematics
Ildar R Gabitov

Ildar R Gabitov

Professor, Applied Mathematics - GIDP
Professor, Mathematics
Robert A Indik

Robert A Indik

Associate Professor, Mathematics
520-621-4599
MATH 302
Joceline C Lega

Joceline C Lega

Professor, Applied Mathematics - GIDP
Professor, Mathematics
Professor, Public Health
520-621-4350
ENR2 S417
Jerome V Moloney

Jerome V Moloney

Director, Arizona Center for Mathematical Sciences
Professor, Mathematics
Professor, Optical Sciences
Professor, Applied Mathematics - GIDP
520-621-6755
OPTI 536
Alan C Newell

Alan C Newell

Professor, Mathematics
Regents Professor
Research Professor, Arizona Research Labs
Professor, Applied Mathematics - GIDP
Vladimir E Zakharov

Vladimir E Zakharov

Professor, Mathematics
Regents Professor
Professor, Applied Mathematics - GIDP
Department of Mathematics, The University of Arizona 617 N. Santa Rita Ave. P.O. Box 210089 Tucson, AZ 85721-0089 USA Voice: (520) 621-6892 Fax: (520) 621-8322 Contact Us © Copyright 2017 Arizona Board of Regents All rights reserved