VIRTUAL SEMINAR SERIES -- INTEGRABLE SYSTEMS: The phenomenon of dispersive revivals
Beatrice Pelloni (Heriott-Watt University)
Wednesday 4th November, 2020 13:30-14:30 Zoom seminar hosted by ICMS
I will give an introduction to the phenomenon of “dispersive quantisation” or “revivals”. Although first reported in 1835 by Talbot, this phenomenon was only studied for the periodic free space Schroedinger equation by Berry and al in the 1990s and rediscovered for the Airy equation by Peter Olver in 2010. A sizeable literature has examined revivals for the periodic problem for linear dispersive equations with polynomial dispersion relation. What I will discuss in this talk is further occurrences of this phenomenon for different boundary conditions, a novel form of revivals for more general dispersion relations and nonlocal equations such as the linearised Benjamin-Ono equation, and nonlinear (integrable) generalisations. This work is joint with Lyonell Boulton, George Farmakis, Peter Olver and David Smith.
For more information, and how to access the seminar through Zoom, see the webpage of the events here.