2 p.m. - 3 p.m. Location: JO 4.614
School of Mathematical and Statistical Sciences
The University of Texas Rio Grande Valley
An integrable model for light propagation in ultra-short pulse regime
In this talk, we are concerned with a complex short pulse equation of focusing and defocusing type, which can be viewed as an analogue of Nonlinear Schrodinger equation in ultra-short pulse regime. Starting from the Maxwell equation, we firstly derive this complex short pulse equation from the physical context of nonlinear optics. Then, we will construct multi-soliton solutions of both bright and dark type based on Hirota’s bilinear method, and show the complex short pulse equation can also be constructed geometrically, i.e., from the motion of space curves in Euclidean and Minkowski space.
Sponsored by the Department of Mathematical Sciences