Speaker 1 : Nail Akhmediev (Australian National University)
Date & Time : September 10th (Fri.), 2021 / 10:00-11:00AM (Tokyo (JST))
Title : Modulation instability frequency band is actually wider than
predicted by Benjamin and Feir
Abstract :
Bespalov-Talanov (BT) and Benjamin-Feir (BF) instabilities discovered
more than 50 years ago (1966 and 1967, respectively) played a significant role
in understanding nonlinear phenomena in optics and hydrodynamics.
However, these are based on linearisation of the nonlinear Schrödinger equation
(NLSE). As such, the accuracy of their prediction is limited. In order to
go beyond these limitations, we need to base our theory on exact solutions of
the NLSE. Exact solutions in reality predict a wider frequency range for
modulation instability than the BT and BF theories. A few other interesting
phenomena envisaged by the exact solutions will also be discussed in this talk.