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
Jean Guy Caputo
Sergey Cherkis
Professor, Mathematics
Michael Chertkov
Member of the Graduate Faculty
Professor, Mathematics
Professor, Statistics-GIDP
Nicholas M Ercolani
Ildar R Gabitov
Professor, Applied Mathematics - GIDP
Professor, Mathematics
Robert A Indik
Joceline C Lega
Member of the Graduate Faculty
Professor, BIO5 Institute
Professor, Mathematics
Professor, Public Health
Jerome V Moloney
Member of the Graduate Faculty
Professor, Applied Mathematics - GIDP
Professor, Mathematics
Professor, Optical Sciences
Alan C Newell
Professor, Applied Mathematics - GIDP
Professor, Mathematics
Regents Professor