Outline of Prof. Ablowitz's lectures:

Nonlinear Waves - and (Interesting) Applications

Mark Ablowitz, University of Colorado at Boulder

1) Waves, waves, waves - just about everywhere.
.
This is a general lecture discussing various applications of
nonlinear waves - in particular "solitons". Applications include:
water waves, great undersea waves, waves with 0's and 1's ("the
game of life"), waves in fiber optics.

2) Nonlinear waves in high bit rate communications--how many
waves can we send at one time.

High bit rate communications cannot avoid using nonlinear waves!
First: "classical" and "dispersion managed" solitons in fiber
optic communications. New nonlinear fiber optic waves:
"quasi-linear" waves. The future: more and more and even more nl
waves -->> wavelength division multiplexing.

3) Discrete solitons - chop into little pieces, but they are still
solitons.

Solitons in discrete nonlinear wave equations - "integrable" and
"non-integrable" equations. Discrete "diffraction managed"
(spatial) solitons in nonlinear optics. "