Wednesday, July 12

Nonlinear Waves and Embedded Solitons

4:00 PM-6:00 PM
Rio Mar 4

Nonlinear waves is a traditional and important branch of applied mathematics. Discoveries such as solitons has lead to great innovations in optical fiber communication technology and deep understanding of water wave dynamics. In this minisymposium, the speakers will focus on new advances in nonlinear waves, including dispersion-managed solitons and embedded solitons. Dispersion-managed solitons are optical pulses in fibers with alternating dispersion. They are showing great potential as the superior transmission format in fiber communications. Embedded solitons are solitary waves embedded inside the continuous spectrum of the linearized system. They are new types of solitary waves with unique dynamical behaviors. The speakers will also present new results on water wave evolution modeled by the generalized Kuramoto-Sivashinsky equation.

Organizer: Jianke Yang
University of Vermont, USA
4:00-4:25 Instabilities of Dispersion-managed Solitons in the Normal Dispersion Regime
Dmitry E. Pelinovsky, University of Toronto, Canada
4:30-4:55 Dynamics of Embedded Solitons in the Extended Korteweg-de Vries Equations
Jianke Yang, Organizer
5:00-5:25 Numerical Computation of Embedded Solitons in the Extended 5th-order KdV Equation
Paul A. Zegeling, Utrecht University, The Netherlands; and Alan R. Champneys, University of Bristol, United Kingdom
5:30-5:55 Periodic Solutions of the Generalized Kuramoto-Sivashisky Equation
Jun Yu, University of Vermont, USA

©2000, Society for Industrial and Applied Mathematics
Designed by Donaghy's Web Consulting
Created 4/12/00; Updated 4/12/00