# 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.

## Related Links

## Members

## Sergey Cherkis

## Nicholas M Ercolani

Professor, Applied Mathematics - GIDP

## Ildar R Gabitov

Professor, Applied Mathematics - GIDP

## Robert A Indik

## Joceline C Lega

Professor, Mathematics

Professor, Public Health

Coordinator, Mathematics Postdoctoral Program

## Jerome V Moloney

Professor, Mathematics

Professor, Optical Sciences

Professor, Applied Mathematics - GIDP

## Alan C Newell

Regents Professor

Research Professor, Arizona Research Labs

Professor, Applied Mathematics - GIDP

## Vladimir E Zakharov

Regents Professor

Professor, Applied Mathematics - GIDP