Analysis Seminar

Title: Rational solutions to the mKdV equation
Speaker: Giorgio Young
Speaker Info: University of Michigan
Brief Description:
Special Note:

In this talk, I will give a brief overview of the scattering transform for the mKdV equation from the perspective of the Riemann-Hilbert method, and introduce the robust inverse scattering transform. I will describe how we use this perspective to produce rational solutions to the mKdV equation of arbitrary order, already present at low order in the literature. By examining a limiting Riemann Hilbert problem, we also produce rational solutions of infinite order. We realize these solutions as limits of the finite order solutions, and describe some of their asymptotics. This is ongoing and joint work with Deniz Bilman, Elliot Blackstone, and Peter Miller.
Date: Monday, April 29, 2024
Time: 4:10pm
Where: Lunt 105
Contact Person: Joey Zou
Contact email: yuzhou.zou@northwestern.edu
Contact Phone:
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