
Speaker: Prof. Engui Fan, Fudan University
Title: Existence of global solutions for the Fokas-Lenells equation on the line
Language: Chinese
Time & Venue: 2024.11.14 15:30-16:30 N402
Abstract: With inverse scattering method, we show the existence of global solutions to the Cauchy problem for the Fokas-Lenells equation under weighed Sobolev initial data without solitons and with solitons. The key techniques are a bijective map between potential and reflection coefficient and a Backlund transformation.